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32301313130100 = 22352723668764247
BaseRepresentation
bin1110101100000101111000…
…10010110111111001110100
311020100222100001100120001110
413112002330102313321310
513213211042130130400
6152411003550155020
76542456436264360
oct726027422677164
9136328301316043
1032301313130100
11a323a01194223
1237582644b2a70
131504001886681
147d956b51a2a0
153b037089ae50
hex1d60bc4b7e74

32301313130100 has 144 divisors (see below), whose sum is σ = 111453574514688. Its totient is φ = 7062150437760.

The previous prime is 32301313130081. The next prime is 32301313130111. The reversal of 32301313130100 is 103131310323.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334333824 + ... + 334430423.

It is an arithmetic number, because the mean of its divisors is an integer number (773983156352).

Almost surely, 232301313130100 is an apocalyptic number.

32301313130100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32301313130100 is an abundant number, since it is smaller than the sum of its proper divisors (79152261384588).

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

32301313130100 is a wasteful number, since it uses less digits than its factorization.

32301313130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668764294 (or 668764287 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 32301313130100 its reverse (103131310323), we get a palindrome (32404444440423).

The spelling of 32301313130100 in words is "thirty-two trillion, three hundred one billion, three hundred thirteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 668764247 1337528494 2006292741 2675056988 3343821235 4012585482 4681349729 6687642470 8025170964 9362699458 10031463705 13375284940 14044049187 15381577681 16719106175 18725398916 20062927410 23406748645 28088098374 30763155362 33438212350 40125854820 46144733043 46813497290 50157318525 56176196748 61526310724 66876424700 70220245935 76907888405 92289466086 93626994580 100314637050 107671043767 117033743225 140440491870 153815776810 184578932172 200629274100 215342087534 230723665215 234067486450 280880983740 307631553620 323013131301 351101229675 384539442025 430684175068 461447330430 468134972900 538355218835 646026262602 702202459350 769078884050 922894660860 1076710437670 1153618326075 1292052525204 1404404918700 1538157768100 1615065656505 2153420875340 2307236652150 2691776094175 3230131313010 4614473304300 5383552188350 6460262626020 8075328282525 10767104376700 16150656565050 32301313130100