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10102123213 = 713223573623
BaseRepresentation
bin10010110100010001…
…00010101011001101
3222002000221000211121
421122020202223031
5131142120420323
64350231320541
7505224426160
oct113210425315
928060830747
1010102123213
114314426766
121b5b220151
13c4cbc5500
146bb947ad7
153e1d31a5d
hex25a222acd

10102123213 has 24 divisors (see below), whose sum is σ = 12510453888. Its totient is φ = 7987292352.

The previous prime is 10102123211. The next prime is 10102123219. The reversal of 10102123213 is 31232120101.

It is not a de Polignac number, because 10102123213 - 21 = 10102123211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102123211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2786520 + ... + 2790142.

It is an arithmetic number, because the mean of its divisors is an integer number (521268912).

Almost surely, 210102123213 is an apocalyptic number.

10102123213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102123213 is a deficient number, since it is larger than the sum of its proper divisors (2408330675).

10102123213 is a wasteful number, since it uses less digits than its factorization.

10102123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102123213 its reverse (31232120101), we get a palindrome (41334243314).

The spelling of 10102123213 in words is "ten billion, one hundred two million, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 13 91 169 1183 2357 3623 16499 25361 30641 47099 214487 329693 398333 612287 2788331 4286009 8539411 59775877 111012343 777086401 1443160459 10102123213