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10042033121032 = 2311308801369539
BaseRepresentation
bin1001001000100001011111…
…0100010010011100001000
31022120000020112222001001211
42102020113310102130020
52304012040434333112
633205125112422504
72054340641104543
oct222102764223410
938500215861054
1010042033121032
1132218909a0a80
1211622686a7a34
1357ac624b0883
1426a07373785a
1512633a1810a7
hex92217d12708

10042033121032 has 32 divisors (see below), whose sum is σ = 20540644394400. Its totient is φ = 4564533376000.

The previous prime is 10042033120969. The next prime is 10042033121137. The reversal of 10042033121032 is 23012133024001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10042033120994 and 10042033121012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26989719 + ... + 27359257.

It is an arithmetic number, because the mean of its divisors is an integer number (641895137325).

Almost surely, 210042033121032 is an apocalyptic number.

It is an amenable number.

10042033121032 is an abundant number, since it is smaller than the sum of its proper divisors (10498611273368).

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

10042033121032 is a wasteful number, since it uses less digits than its factorization.

10042033121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678357 (or 678353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10042033121032 its reverse (23012133024001), we get a palindrome (33054166145033).

The spelling of 10042033121032 in words is "ten trillion, forty-two billion, thirty-three million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 308801 369539 617602 739078 1235204 1478156 2470408 2956312 3396811 4064929 6793622 8129858 13587244 16259716 27174488 32519432 114114012739 228228025478 456456050956 912912101912 1255254140129 2510508280258 5021016560516 10042033121032