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2131133100300 = 2232523763997991
BaseRepresentation
bin11111000000110001011…
…011100111000100001100
321112201211022220112222200
4133000301123213010030
5234404030033202200
64311010134241500
7306653315315601
oct37006133470414
97481738815880
102131133100300
11751899092a46
122a50401b6290
13125c71108a49
147520c6326a8
153a680564800
hex1f0316e710c

2131133100300 has 108 divisors (see below), whose sum is σ = 6860456746416. Its totient is φ = 552942633600.

The previous prime is 2131133100287. The next prime is 2131133100379. The reversal of 2131133100300 is 30013311312.

It is a happy number.

2131133100300 is a `hidden beast` number, since 2 + 1 + 31 + 1 + 331 + 0 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 31965696 + ... + 32032295.

It is an arithmetic number, because the mean of its divisors is an integer number (63522747652).

Almost surely, 22131133100300 is an apocalyptic number.

2131133100300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131133100300 is an abundant number, since it is smaller than the sum of its proper divisors (4729323646116).

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

2131133100300 is a wasteful number, since it uses less digits than its factorization.

2131133100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63998048 (or 63998038 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2131133100300 its reverse (30013311312), we get a palindrome (2161146411612).

The spelling of 2131133100300 in words is "two trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 63997991 127995982 191993973 255991964 319989955 383987946 575981919 639979910 767975892 959969865 1151963838 1279959820 1599949775 1919939730 2303927676 2367925667 2879909595 3199899550 3839879460 4735851334 4799849325 5759819190 6399799100 7103777001 9471702668 9599698650 11519638380 11839628335 14207554002 14399547975 19199397300 21311331003 23679256670 28415108004 28799095950 35518885005 42622662006 47358513340 57598191900 59198141675 71037770010 85245324012 106556655015 118396283350 142075540020 177594425025 213113310030 236792566700 355188850050 426226620060 532783275075 710377700100 1065566550150 2131133100300