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10012000211232 = 253176134804051
BaseRepresentation
bin1001000110110001100110…
…1101110101000100100000
31022110010201111202010221020
42101230121231311010200
52303014034023224412
633143241023125440
72052225461431005
oct221543155650440
938403644663836
1010012000211232
11321007a11a368
121158486743880
13578187365226
14268824ba38ac
1512567d70618c
hex91b19b75120

10012000211232 has 48 divisors (see below), whose sum is σ = 27827471179872. Its totient is φ = 3141019673600.

The previous prime is 10012000211167. The next prime is 10012000211233. The reversal of 10012000211232 is 23211200021001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100120002112322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10012000211233) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3067400394 + ... + 3067403657.

It is an arithmetic number, because the mean of its divisors is an integer number (579738982914).

Almost surely, 210012000211232 is an apocalyptic number.

10012000211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012000211232 is an abundant number, since it is smaller than the sum of its proper divisors (17815470968640).

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

10012000211232 is a wasteful number, since it uses less digits than its factorization.

10012000211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134804081 (or 6134804073 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10012000211232 its reverse (23211200021001), we get a palindrome (33223200232233).

The spelling of 10012000211232 in words is "ten trillion, twelve billion, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 6134804051 12269608102 18404412153 24539216204 36808824306 49078432408 73617648612 98156864816 104291668867 147235297224 196313729632 208583337734 294470594448 312875006601 417166675468 588941188896 625750013202 834333350936 1251500026404 1668666701872 2503000052808 3337333403744 5006000105616 10012000211232