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10122000031 = 111370783217
BaseRepresentation
bin10010110110101000…
…10111011010011111
3222010102022212201001
421123110113122133
5131212213000111
64352221331131
7505555403113
oct113324273237
928112285631
1010122000031
114324672490
121b65a06aa7
13c54064840
146c043d743
153e395b1c1
hex25b51769f

10122000031 has 8 divisors (see below), whose sum is σ = 11891580624. Its totient is φ = 8493985920.

The previous prime is 10122000029. The next prime is 10122000037. The reversal of 10122000031 is 13000022101.

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 10122000031 - 21 = 10122000029 is a prime.

It is a super-2 number, since 2×101220000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121999981 and 10122000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122000037) 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, 35391466 + ... + 35391751.

It is an arithmetic number, because the mean of its divisors is an integer number (1486447578).

Almost surely, 210122000031 is an apocalyptic number.

10122000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122000031 is a deficient number, since it is larger than the sum of its proper divisors (1769580593).

10122000031 is a wasteful number, since it uses less digits than its factorization.

10122000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70783241.

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

Adding to 10122000031 its reverse (13000022101), we get a palindrome (23122022132).

The spelling of 10122000031 in words is "ten billion, one hundred twenty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 11 13 143 70783217 778615387 920181821 10122000031