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131100210 = 23252296361
BaseRepresentation
bin1111101000001…
…10111000110010
3100010200120200100
413310012320302
5232030201320
621001533230
73151222233
oct764067062
9303616610
10131100210
116800358a
1237aa4216
13212124b7
14135a908a
15b799790
hex7d06e32

131100210 has 48 divisors (see below), whose sum is σ = 342402840. Its totient is φ = 34801920.

The previous prime is 131100199. The next prime is 131100223. The reversal of 131100210 is 12001131.

It can be written as a sum of positive squares in 4 ways, for example, as 116834481 + 14265729 = 10809^2 + 3777^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131100192 and 131100201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17430 + ... + 23790.

Almost surely, 2131100210 is an apocalyptic number.

131100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171201420).

131100210 is an abundant number, since it is smaller than the sum of its proper divisors (211302630).

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

131100210 is a wasteful number, since it uses less digits than its factorization.

131100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131100210 is about 11449.8999995633. The cubic root of 131100210 is about 508.0047765480.

Adding to 131100210 its reverse (12001131), we get a palindrome (143101341).

The spelling of 131100210 in words is "one hundred thirty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6361 6870 10305 12722 19083 20610 31805 38166 57249 63610 95415 114498 190830 286245 572490 1456669 2913338 4370007 7283345 8740014 13110021 14566690 21850035 26220042 43700070 65550105 131100210