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131474240106 = 23112418265701
BaseRepresentation
bin111101001110001111…
…0011011001001101010
3110120100122222101212020
41322130132123021222
54123224401140411
6140222021125310
712333024413316
oct1723436331152
9416318871766
10131474240106
1150837865590
1221592559836
13c523447a61
1465131c4b46
1536474c0606
hex1e9c79b26a

131474240106 has 32 divisors (see below), whose sum is σ = 288043183296. Its totient is φ = 39675360000.

The previous prime is 131474240083. The next prime is 131474240141. The reversal of 131474240106 is 601042474131.

It is a super-3 number, since 3×1314742401063 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116945 + ... + 4148756.

It is an arithmetic number, because the mean of its divisors is an integer number (9001349478).

Almost surely, 2131474240106 is an apocalyptic number.

131474240106 is an abundant number, since it is smaller than the sum of its proper divisors (156568943190).

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

131474240106 is a wasteful number, since it uses less digits than its factorization.

131474240106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265958.

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 131474240106 in words is "one hundred thirty-one billion, four hundred seventy-four million, two hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 8265701 16531402 24797103 49594206 90922711 181845422 272768133 545536266 1992033941 3984067882 5976101823 11952203646 21912373351 43824746702 65737120053 131474240106