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10131031020 = 22351115797771
BaseRepresentation
bin10010110111101101…
…10100001111101100
3222011001022200220010
421123312310033230
5131222020443040
64353143053220
7506025225405
oct113366641754
928131280803
1010131031020
114329780610
121b68a41210
13c55ba7316
146c17109ac
153e4641e80
hex25bdb43ec

10131031020 has 96 divisors (see below), whose sum is σ = 31143119616. Its totient is φ = 2440339200.

The previous prime is 10131031003. The next prime is 10131031049. The reversal of 10131031020 is 2013013101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10131030987 and 10131031005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54735 + ... + 152505.

It is an arithmetic number, because the mean of its divisors is an integer number (324407496).

Almost surely, 210131031020 is an apocalyptic number.

10131031020 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 10131031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571559808).

10131031020 is an abundant number, since it is smaller than the sum of its proper divisors (21012088596).

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

10131031020 is a wasteful number, since it uses less digits than its factorization.

10131031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97951 (or 97949 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131031020 its reverse (2013013101), we get a palindrome (12144044121).

The spelling of 10131031020 in words is "ten billion, one hundred thirty-one million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 25905 34540 51810 97771 103620 195542 293313 391084 488855 586626 977710 1075481 1173252 1466565 1955420 2150962 2933130 3226443 4301924 5377405 5866260 6452886 10754810 12905772 15350047 16132215 21509620 30700094 32264430 46050141 61400188 64528860 76750235 92100282 153500470 168850517 184200564 230250705 307000940 337701034 460501410 506551551 675402068 844252585 921002820 1013103102 1688505170 2026206204 2532757755 3377010340 5065515510 10131031020