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131064650120 = 23519971777871
BaseRepresentation
bin111101000010000001…
…1111101100110001000
3110112022010021002000202
41322010003331212020
54121410022300440
6140113230151332
712316622100365
oct1720403754610
9415263232022
10131064650120
115064763a568
1221499352548
13c489629411
1464b4a4546c
153621565615
hex1e840fd988

131064650120 has 64 divisors (see below), whose sum is σ = 313616620800. Its totient is φ = 49154549760.

The previous prime is 131064650099. The next prime is 131064650141. The reversal of 131064650120 is 21056460131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131064650099) and next prime (131064650141).

It is a super-2 number, since 2×1310646501202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 815216 + ... + 962655.

It is an arithmetic number, because the mean of its divisors is an integer number (4900259700).

Almost surely, 2131064650120 is an apocalyptic number.

131064650120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131064650120 is an abundant number, since it is smaller than the sum of its proper divisors (182551970680).

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

131064650120 is a wasteful number, since it uses less digits than its factorization.

131064650120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777998 (or 1777994 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 131064650120 in words is "one hundred thirty-one billion, sixty-four million, six hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 97 152 190 194 380 388 485 760 776 970 1843 1940 3686 3880 7372 9215 14744 18430 36860 73720 1777871 3555742 7111484 8889355 14222968 17778710 33779549 35557420 67559098 71114840 135118196 168897745 172453487 270236392 337795490 344906974 675590980 689813948 862267435 1351181960 1379627896 1724534870 3276616253 3449069740 6553232506 6898139480 13106465012 16383081265 26212930024 32766162530 65532325060 131064650120