Search a number
-
+
323320040035100 = 2252179283193133053
BaseRepresentation
bin100100110000011101101000…
…0001000101001001100011100
31120101210002112111110122210022
41021200323100020221030130
5314334233420222110400
63103351101554331312
7125050046666260643
oct11140732010511434
91511702474418708
10323320040035100
1194024293733509
123031970b289b38
1310b53c44acb784
1459baab843635a
15275a469b20b85
hex1260ed022931c

323320040035100 has 144 divisors (see below), whose sum is σ = 708405172917120. Its totient is φ = 128080836422400.

The previous prime is 323320040035019. The next prime is 323320040035103. The reversal of 323320040035100 is 1530040023323.

It is a happy number.

It is a super-3 number, since 3×3233200400351003 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323320040035100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323320040035103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9781850174 + ... + 9781883226.

It is an arithmetic number, because the mean of its divisors is an integer number (4919480367480).

Almost surely, 2323320040035100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323320040035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354202586458560).

323320040035100 is an abundant number, since it is smaller than the sum of its proper divisors (385085132882020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323320040035100 is a wasteful number, since it uses less digits than its factorization.

323320040035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35460 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 323320040035100 its reverse (1530040023323), we get a palindrome (324850080058423).

The spelling of 323320040035100 in words is "three hundred twenty-three trillion, three hundred twenty billion, forty million, thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 283 358 566 716 895 1132 1415 1790 1931 2830 3580 3862 4475 5660 7075 7724 8950 9655 14150 17900 19310 28300 33053 38620 48275 50657 66106 96550 101314 132212 165265 193100 202628 253285 330530 345649 506570 546473 661060 691298 826325 1013140 1092946 1266425 1382596 1652650 1728245 2185892 2532850 2732365 3305300 3456490 5065700 5464730 5916487 6912980 8641225 9353999 10929460 11832974 13661825 17282450 18707998 23665948 27323650 29582435 34564900 37415996 46769995 54647300 59164870 63825343 93539990 97818667 118329740 127650686 147912175 187079980 195637334 233849975 255301372 295824350 319126715 391274668 467699950 489093335 591648700 638253430 935399900 978186670 1276506860 1595633575 1674365821 1956373340 2445466675 3191267150 3348731642 4890933350 6382534300 6697463284 8371829105 9781866700 11424736397 16743658210 18062572069 22849472794 33487316420 36125144138 41859145525 45698945588 57123681985 72250288276 83718291050 90312860345 114247363970 167436582100 180625720690 228494727940 285618409925 361251441380 451564301725 571236819850 903128603450 1142473639700 1806257206900 3233200400351 6466400800702 12932801601404 16166002001755 32332004003510 64664008007020 80830010008775 161660020017550 323320040035100