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10131031100 = 2252297944221
BaseRepresentation
bin10010110111101101…
…10100010000111100
3222011001022201000002
421123312310100330
5131222020443400
64353143053432
7506025225551
oct113366642074
928131281002
1010131031100
114329780683
121b68a41278
13c55ba7378
146c1710a28
153e4641ed5
hex25bdb443c

10131031100 has 72 divisors (see below), whose sum is σ = 23030817600. Its totient is φ = 3863059200.

The previous prime is 10131031061. The next prime is 10131031103. The reversal of 10131031100 is 113013101.

It is a happy number.

It is a super-2 number, since 2×101310311002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131031103) 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, 206990 + ... + 251210.

Almost surely, 210131031100 is an apocalyptic number.

10131031100 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 10131031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515408800).

10131031100 is an abundant number, since it is smaller than the sum of its proper divisors (12899786500).

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

10131031100 is a wasteful number, since it uses less digits than its factorization.

10131031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44343 (or 44336 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10131031100 its reverse (113013101), we get a palindrome (10244044201).

The spelling of 10131031100 in words is "ten billion, one hundred thirty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1450 1580 1975 2291 2900 3950 4582 7900 9164 11455 22910 44221 45820 57275 88442 114550 176884 221105 229100 442210 884420 1105525 1282409 2211050 2564818 3493459 4422100 5129636 6412045 6986918 12824090 13973836 17467295 25648180 32060225 34934590 64120450 69869180 87336475 101310311 128240900 174672950 202620622 349345900 405241244 506551555 1013103110 2026206220 2532757775 5065515550 10131031100