Search a number
-
+
13323420120 = 2335295964891
BaseRepresentation
bin11000110100010001…
…10100000111011000
31021101112100212110110
430122020310013120
5204241243420440
610042023044320
7651111126303
oct143210640730
937345325413
1013323420120
1157177a580a
1226b9ba06a0
1313443ac85a
149056b7b3a
1552ea3a080
hex31a2341d8

13323420120 has 128 divisors (see below), whose sum is σ = 42050016000. Its totient is φ = 3372203520.

The previous prime is 13323420119. The next prime is 13323420127. The reversal of 13323420120 is 2102432331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323420127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172875 + ... + 237765.

It is an arithmetic number, because the mean of its divisors is an integer number (328515750).

Almost surely, 213323420120 is an apocalyptic number.

13323420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025008000).

13323420120 is an abundant number, since it is smaller than the sum of its proper divisors (28726595880).

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

13323420120 is a wasteful number, since it uses less digits than its factorization.

13323420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64993 (or 64989 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13323420120 its reverse (2102432331), we get a palindrome (15425852451).

The spelling of 13323420120 in words is "thirteen billion, three hundred twenty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 59 60 87 116 118 120 145 174 177 232 236 290 295 348 354 435 472 580 590 696 708 870 885 1160 1180 1416 1711 1740 1770 2360 3422 3480 3540 5133 6844 7080 8555 10266 13688 17110 20532 25665 34220 41064 51330 64891 68440 102660 129782 194673 205320 259564 324455 389346 519128 648910 778692 973365 1297820 1557384 1881839 1946730 2595640 3763678 3828569 3893460 5645517 7527356 7657138 7786920 9409195 11291034 11485707 15054712 15314276 18818390 19142845 22582068 22971414 28227585 30628552 37636780 38285690 45164136 45942828 56455170 57428535 75273560 76571380 91885656 111028501 112910340 114857070 153142760 222057002 225820680 229714140 333085503 444114004 459428280 555142505 666171006 888228008 1110285010 1332342012 1665427515 2220570020 2664684024 3330855030 4441140040 6661710060 13323420120