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131000202 = 23237239823
BaseRepresentation
bin1111100111011…
…10011110001010
3100010111111111100
413303232132022
5232014001302
620555442230
73150324534
oct763563612
9303444440
10131000202
1167a45433
1237a56376
13211a8b18
1413580854
15b779d1c
hex7cee78a

131000202 has 48 divisors (see below), whose sum is σ = 293080320. Its totient is φ = 42257376.

The previous prime is 131000197. The next prime is 131000227. The reversal of 131000202 is 202000131.

It is a happy number.

It is a super-2 number, since 2×1310002022 = 34322105848081608, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158763 + ... + 159585.

It is an arithmetic number, because the mean of its divisors is an integer number (6105840).

Almost surely, 2131000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146540160).

131000202 is an abundant number, since it is smaller than the sum of its proper divisors (162080118).

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

131000202 is a wasteful number, since it uses less digits than its factorization.

131000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131000202 is about 11445.5319666672. The cubic root of 131000202 is about 507.8755688585.

Adding to 131000202 its reverse (202000131), we get a palindrome (333000333).

The spelling of 131000202 in words is "one hundred thirty-one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 239 333 478 666 717 823 1434 1646 2151 2469 4302 4938 7407 8843 14814 17686 26529 30451 53058 60902 79587 91353 159174 182706 196697 274059 393394 548118 590091 1180182 1770273 3540546 7277789 14555578 21833367 43666734 65500101 131000202