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10012002231 = 3711199433503
BaseRepresentation
bin10010101001100001…
…10000011110110111
3221211202100102002110
421110300300132313
5131001033032411
64333251542103
7503051420610
oct112460603667
927752312073
1010012002231
114278572510
121b34bba933
13c3733049a
146ad9a8c07
153d8e7e2a6
hex254c307b7

10012002231 has 64 divisors (see below), whose sum is σ = 16798924800. Its totient is φ = 5152688640.

The previous prime is 10012002197. The next prime is 10012002251. The reversal of 10012002231 is 13220021001.

10012002231 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012002231 - 27 = 10012002103 is a prime.

It is a super-2 number, since 2×100120022312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012002251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19904326 + ... + 19904828.

It is an arithmetic number, because the mean of its divisors is an integer number (262483200).

Almost surely, 210012002231 is an apocalyptic number.

10012002231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012002231 is a deficient number, since it is larger than the sum of its proper divisors (6786922569).

10012002231 is a wasteful number, since it uses less digits than its factorization.

10012002231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10012002231 its reverse (13220021001), we get a palindrome (23232023232).

The spelling of 10012002231 in words is "ten billion, twelve million, two thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 199 231 433 503 597 1299 1393 1509 2189 3031 3521 4179 4763 5533 6567 9093 10563 14289 15323 16599 33341 38731 45969 86167 100023 100097 116193 217799 258501 300291 603169 653397 700679 947837 1101067 1524593 1809507 2102037 2395789 2843511 3303201 4573779 6634859 7187367 7707469 16770523 19904577 23122407 43342001 50311569 130026003 303394007 476762011 910182021 1430286033 3337334077 10012002231