Search a number
-
+
33112303021300 = 225210722928148091
BaseRepresentation
bin1111000011101100011110…
…00011110010110011110100
311100020111122022220121121111
413201312033003302303310
513320002444033140200
6154231325414124404
76655166510520466
oct741661703626364
9140214568817544
1033112303021300
11a606937901928
123869477350704
13156262762b439
14826903280136
153c64d88d20ba
hex1e1d8f0f2cf4

33112303021300 has 144 divisors (see below), whose sum is σ = 73102675504320. Its totient is φ = 13017078144000.

The previous prime is 33112303021279. The next prime is 33112303021307. The reversal of 33112303021300 is 312030321133.

It is a super-2 number, since 2×331123030213002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33112303021307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688510255 + ... + 688558345.

It is an arithmetic number, because the mean of its divisors is an integer number (507657468780).

Almost surely, 233112303021300 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 33112303021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36551337752160).

33112303021300 is an abundant number, since it is smaller than the sum of its proper divisors (39990372483020).

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

33112303021300 is a wasteful number, since it uses less digits than its factorization.

33112303021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48722 (or 48715 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 33112303021300 its reverse (312030321133), we get a palindrome (33424333342433).

The spelling of 33112303021300 in words is "thirty-three trillion, one hundred twelve billion, three hundred three million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 229 281 428 458 535 562 916 1070 1124 1145 1405 2140 2290 2675 2810 4580 5350 5620 5725 7025 10700 11450 14050 22900 24503 28100 30067 48091 49006 60134 64349 96182 98012 120268 122515 128698 150335 192364 240455 245030 257396 300670 321745 480910 490060 601340 612575 643490 751675 961820 1202275 1225150 1286980 1503350 1608725 2404550 2450300 3006700 3217450 4809100 5145737 6434900 6885343 10291474 11012839 13513571 13770686 20582948 22025678 25728685 27027142 27541372 34426715 44051356 51457370 54054284 55064195 67567855 68853430 102914740 110128390 128643425 135135710 137706860 172133575 220256780 257286850 270271420 275320975 337839275 344267150 514573700 550641950 675678550 688534300 1101283900 1178373773 1351357100 1445952097 2356747546 2891904194 3094607759 4713495092 5783808388 5891868865 6189215518 7229760485 11783737730 12378431036 14459520970 15473038795 23567475460 28919041940 29459344325 30946077590 36148802425 58918688650 61892155180 72297604850 77365193975 117837377300 144595209700 154730387950 309460775900 331123030213 662246060426 1324492120852 1655615151065 3311230302130 6622460604260 8278075755325 16556151510650 33112303021300