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10233120132 = 2232833424739
BaseRepresentation
bin10011000011111000…
…10000010110000100
3222102011102100211100
421201330100112010
5131424134321012
64411231140100
7511405041324
oct114174202604
928364370740
1010233120132
114381369684
121b97074630
13c7109c991
146d10c7284
153ed5aa8dc
hex261f10584

10233120132 has 36 divisors (see below), whose sum is σ = 26178712560. Its totient is φ = 3369942192.

The previous prime is 10233120077. The next prime is 10233120197. The reversal of 10233120132 is 23102133201.

10233120132 is a `hidden beast` number, since 102 + 331 + 201 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1709382 + ... + 1715357.

It is an arithmetic number, because the mean of its divisors is an integer number (727186460).

Almost surely, 210233120132 is an apocalyptic number.

10233120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233120132 is an abundant number, since it is smaller than the sum of its proper divisors (15945592428).

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

10233120132 is a wasteful number, since it uses less digits than its factorization.

10233120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424832 (or 3424827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233120132 its reverse (23102133201), we get a palindrome (33335253333).

The spelling of 10233120132 in words is "ten billion, two hundred thirty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 3424739 6849478 10274217 13698956 20548434 30822651 41096868 61645302 123290604 284253337 568506674 852760011 1137013348 1705520022 2558280033 3411040044 5116560066 10233120132