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10102231100 = 22521315834909
BaseRepresentation
bin10010110100010001…
…11101000000111100
3222002001010111211102
421122020331000330
5131142132343400
64350233512232
7505225355543
oct113210750074
928061114742
1010102231100
11431449a825
121b5b272678
13c4cc32650
146bb97515a
153e1d539d5
hex25a23d03c

10102231100 has 72 divisors (see below), whose sum is σ = 23627862720. Its totient is φ = 3726938880.

The previous prime is 10102231093. The next prime is 10102231109. The reversal of 10102231100 is 113220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102231109) 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, 2055446 + ... + 2060354.

It is an arithmetic number, because the mean of its divisors is an integer number (328164760).

Almost surely, 210102231100 is an apocalyptic number.

10102231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813931360).

10102231100 is an abundant number, since it is smaller than the sum of its proper divisors (13525631620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102231100 is a wasteful number, since it uses less digits than its factorization.

10102231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10102231100 its reverse (113220101), we get a palindrome (10215451201).

The spelling of 10102231100 in words is "ten billion, one hundred two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1583 3166 4909 6332 7915 9818 15830 19636 20579 24545 31660 39575 41158 49090 63817 79150 82316 98180 102895 122725 127634 158300 205790 245450 255268 319085 411580 490900 514475 638170 1028950 1276340 1595425 2057900 3190850 6381700 7770947 15541894 31083788 38854735 77709470 101022311 155418940 194273675 202044622 388547350 404089244 505111555 777094700 1010223110 2020446220 2525557775 5051115550 10102231100