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10131411220 = 22572314992099
BaseRepresentation
bin10010110111110000…
…10001000100010100
3222011002001000102121
421123320101010110
5131222120124340
64353155145324
7506031401020
oct113370210424
928132030377
1010131411220
114329a10227
121b68ba5244
13c55cab3a8
146c17ad380
153e46b994a
hex25be11114

10131411220 has 96 divisors (see below), whose sum is σ = 25401600000. Its totient is φ = 3318801024.

The previous prime is 10131411187. The next prime is 10131411221. The reversal of 10131411220 is 2211413101.

It is a junction number, because it is equal to n+sod(n) for n = 10131411194 and 10131411203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131411221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4825731 + ... + 4827829.

It is an arithmetic number, because the mean of its divisors is an integer number (264600000).

Almost surely, 210131411220 is an apocalyptic number.

10131411220 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 10131411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800000).

10131411220 is an abundant number, since it is smaller than the sum of its proper divisors (15270188780).

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

10131411220 is a wasteful number, since it uses less digits than its factorization.

10131411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10131411220 its reverse (2211413101), we get a palindrome (12342824321).

The spelling of 10131411220 in words is "ten billion, one hundred thirty-one million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1499 1610 2099 2998 3220 4198 5996 7495 8396 10493 10495 14693 14990 20986 20990 29386 29980 34477 41972 41980 48277 52465 58772 68954 73465 96554 104930 137908 146930 172385 193108 209860 241339 241385 293860 337939 344770 482678 482770 675878 689540 965356 965540 1206695 1351756 1689695 2413390 3146401 3379390 4826780 6292802 6758780 12585604 15732005 22024807 31464010 44049614 62928020 72367223 88099228 110124035 144734446 220248070 289468892 361836115 440496140 506570561 723672230 1013141122 1447344460 2026282244 2532852805 5065705610 10131411220