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10122113001 = 3711133370667
BaseRepresentation
bin10010110110101001…
…10010111111101001
3222010102112121200010
421123110302333221
5131212230104001
64352224002133
7505556353350
oct113324627751
928112477603
1010122113001
11432473a350
121b65a60349
13c540a40a0
146c046c997
153e397e8d6
hex25b532fe9

10122113001 has 32 divisors (see below), whose sum is σ = 18120711168. Its totient is φ = 4853759040.

The previous prime is 10122112951. The next prime is 10122113017. The reversal of 10122113001 is 10031122101.

10122113001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122113001 - 26 = 10122112937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122113801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682331 + ... + 1688336.

It is an arithmetic number, because the mean of its divisors is an integer number (566272224).

Almost surely, 210122113001 is an apocalyptic number.

10122113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122113001 is a deficient number, since it is larger than the sum of its proper divisors (7998598167).

10122113001 is a wasteful number, since it uses less digits than its factorization.

10122113001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370701.

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

Adding to 10122113001 its reverse (10031122101), we get a palindrome (20153235102).

The spelling of 10122113001 in words is "ten billion, one hundred twenty-two million, one hundred thirteen thousand, one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 3370667 10112001 23594669 37077337 43818671 70784007 111232011 131456013 259541359 306730697 482005381 778624077 920192091 1446016143 3374037667 10122113001