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10102002031 = 113307277703
BaseRepresentation
bin10010110100010000…
…00101000101101111
3222002000200212121101
421122020011011233
5131142103031111
64350224543531
7505223412652
oct113210050557
928060625541
1010102002031
114314353710
121b5b181ba7
13c4cb822c4
146bb915899
153e1d0abc1
hex25a20516f

10102002031 has 8 divisors (see below), whose sum is σ = 11023737984. Its totient is φ = 9180828120.

The previous prime is 10102002019. The next prime is 10102002037. The reversal of 10102002031 is 13020020101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102002031 - 25 = 10102001999 is a prime.

It is a super-2 number, since 2×101020020312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102001999 and 10102002017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102002037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102475 + ... + 175228.

It is an arithmetic number, because the mean of its divisors is an integer number (1377967248).

Almost surely, 210102002031 is an apocalyptic number.

10102002031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102002031 is a deficient number, since it is larger than the sum of its proper divisors (921735953).

10102002031 is a wasteful number, since it uses less digits than its factorization.

10102002031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281021.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10102002031 its reverse (13020020101), we get a palindrome (23122022132).

The spelling of 10102002031 in words is "ten billion, one hundred two million, two thousand, thirty-one".

Divisors: 1 11 3307 36377 277703 3054733 918363821 10102002031