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10021137027 = 311973130627
BaseRepresentation
bin10010101010100111…
…00110101010000011
3221212101112111200020
421111103212222003
5131010402341102
64334215424523
7503222154636
oct112523465203
927771474606
1010021137027
114282741630
121b38085143
13c391ab2a5
146b0ca5c1d
153d9b85bbc
hex2554e6a83

10021137027 has 16 divisors (see below), whose sum is σ = 14726474112. Its totient is φ = 6010801920.

The previous prime is 10021137013. The next prime is 10021137031. The reversal of 10021137027 is 72073112001.

It is not a de Polignac number, because 10021137027 - 27 = 10021136899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021136988 and 10021137006.

It is not an unprimeable number, because it can be changed into a prime (10021137227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1562113 + ... + 1568514.

It is an arithmetic number, because the mean of its divisors is an integer number (920404632).

Almost surely, 210021137027 is an apocalyptic number.

10021137027 is a deficient number, since it is larger than the sum of its proper divisors (4705337085).

10021137027 is a wasteful number, since it uses less digits than its factorization.

10021137027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130738.

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 10021137027 its reverse (72073112001), we get a palindrome (82094249028).

The spelling of 10021137027 in words is "ten billion, twenty-one million, one hundred thirty-seven thousand, twenty-seven".

Divisors: 1 3 11 33 97 291 1067 3201 3130627 9391881 34436897 103310691 303670819 911012457 3340379009 10021137027