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131214002342120 = 23527891176174277
BaseRepresentation
bin11101110101011010100011…
…111111111100100011101000
3122012120221021102121002002222
4131311122203333330203220
5114144302234044421440
61143022514105213212
736431620204306415
oct3565324377744350
9565527242532088
10131214002342120
1138899600642195
121287219ba91208
13582a572abbb19
142458b1220d10c
15102829d6cb2b5
hex7756a3ffc8e8

131214002342120 has 32 divisors (see below), whose sum is σ = 295337361205800. Its totient is φ = 52466782103808.

The previous prime is 131214002342117. The next prime is 131214002342177. The reversal of 131214002342120 is 21243200412131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 130688200427236 + 525801914884 = 11431894^2 + 725122^2 .

It is a super-2 number, since 2×1312140023421202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131214002342120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587975579 + ... + 588198698.

Almost surely, 2131214002342120 is an apocalyptic number.

131214002342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131214002342120 is an abundant number, since it is smaller than the sum of its proper divisors (164123358863680).

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

131214002342120 is a wasteful number, since it uses less digits than its factorization.

131214002342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176177077 (or 1176177073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131214002342120 its reverse (21243200412131), we get a palindrome (152457202754251).

The spelling of 131214002342120 in words is "one hundred thirty-one trillion, two hundred fourteen billion, two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2789 5578 11156 13945 22312 27890 55780 111560 1176174277 2352348554 4704697108 5880871385 9409394216 11761742770 23523485540 47046971080 3280350058553 6560700117106 13121400234212 16401750292765 26242800468424 32803500585530 65607001171060 131214002342120