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131422820166 = 23311221250539
BaseRepresentation
bin111101001100101101…
…0010001011101000110
3110120020002012222222000
41322121122101131012
54123123220221131
6140212543050130
712331531353051
oct1723132213506
9416202188860
10131422820166
1150810834a70
12215792a0946
13c5158b3261
14650a43ba98
153642c14ce6
hex1e99691746

131422820166 has 32 divisors (see below), whose sum is σ = 318600777600. Its totient is φ = 39825096840.

The previous prime is 131422820147. The next prime is 131422820183. The reversal of 131422820166 is 661028224131.

It is a happy number.

131422820166 is a `hidden beast` number, since 1 + 314 + 2 + 282 + 0 + 1 + 66 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131422820166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110624676 + ... + 110625863.

It is an arithmetic number, because the mean of its divisors is an integer number (9956274300).

Almost surely, 2131422820166 is an apocalyptic number.

131422820166 is an abundant number, since it is smaller than the sum of its proper divisors (187177957434).

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

131422820166 is a wasteful number, since it uses less digits than its factorization.

131422820166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221250561 (or 221250555 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 131422820166 in words is "one hundred thirty-one billion, four hundred twenty-two million, eight hundred twenty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 221250539 442501078 663751617 1327503234 1991254851 2433755929 3982509702 4867511858 5973764553 7301267787 11947529106 14602535574 21903803361 43807606722 65711410083 131422820166