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10132210300300 = 22521127533345841
BaseRepresentation
bin1001001101110001011011…
…0010111011010110001100
31022212122000011020101110021
42103130112302323112030
52312001231314102200
633314401222351524
72064012421350664
oct223342662732614
938778004211407
1010132210300300
113257056628510
12117783488b5a4
13586603c29b4a
14270589d971a4
15128866d5a41a
hex93716cbb58c

10132210300300 has 72 divisors (see below), whose sum is σ = 23994424852272. Its totient is φ = 3683100672000.

The previous prime is 10132210300279. The next prime is 10132210300307. The reversal of 10132210300300 is 300301223101.

It is a super-3 number, since 3×101322103003003 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132210300307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1355380 + ... + 4701220.

It is an arithmetic number, because the mean of its divisors is an integer number (333255900726).

Almost surely, 210132210300300 is an apocalyptic number.

10132210300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132210300300 is an abundant number, since it is smaller than the sum of its proper divisors (13862214551972).

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

10132210300300 is a wasteful number, since it uses less digits than its factorization.

10132210300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348619 (or 3348612 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10132210300300 its reverse (300301223101), we get a palindrome (10432511523401).

The spelling of 10132210300300 in words is "ten trillion, one hundred thirty-two billion, two hundred ten million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2753 5506 11012 13765 27530 30283 55060 60566 68825 121132 137650 151415 275300 302830 605660 757075 1514150 3028300 3345841 6691682 13383364 16729205 33458410 36804251 66916820 73608502 83646025 147217004 167292050 184021255 334584100 368042510 736085020 920106275 1840212550 3680425100 9211100273 18422200546 36844401092 46055501365 92111002730 101322103003 184222005460 202644206006 230277506825 405288412012 460555013650 506610515015 921110027300 1013221030030 2026442060060 2533052575075 5066105150150 10132210300300