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131343221442312 = 233211165837400811
BaseRepresentation
bin11101110111010010111010…
…000011101100011100001000
3122020001021210221010111120200
4131313102322003230130020
5114203411404142123222
61143202124251052200
736444143316451065
oct3567227203543410
9566037727114520
10131343221442312
1138939390436780
1212893243141060
1358397c6c6a459
14246108dac1c6c
15102b812bdbeac
hex7774ba0ec708

131343221442312 has 48 divisors (see below), whose sum is σ = 388059517900080. Its totient is φ = 39800976194400.

The previous prime is 131343221442227. The next prime is 131343221442319. The reversal of 131343221442312 is 213244122343131.

131343221442312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 3 + 2 + 214 + 423 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131343221442319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82918699614 + ... + 82918701197.

It is an arithmetic number, because the mean of its divisors is an integer number (8084573289585).

Almost surely, 2131343221442312 is an apocalyptic number.

131343221442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131343221442312 is an abundant number, since it is smaller than the sum of its proper divisors (256716296457768).

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

131343221442312 is a wasteful number, since it uses less digits than its factorization.

131343221442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165837400834 (or 165837400827 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131343221442312 its reverse (213244122343131), we get a palindrome (344587343785443).

The spelling of 131343221442312 in words is "one hundred thirty-one trillion, three hundred forty-three billion, two hundred twenty-one million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 165837400811 331674801622 497512202433 663349603244 995024404866 1326699206488 1492536607299 1824211408921 1990048809732 2985073214598 3648422817842 3980097619464 5472634226763 5970146429196 7296845635684 10945268453526 11940292858392 14593691271368 16417902680289 21890536907052 32835805360578 43781073814104 65671610721156 131343221442312