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205136831991 = 37213313462751
BaseRepresentation
bin1011111100001100011…
…0111010010111110111
3201121111100010210021010
42333003012322113313
511330110012110431
6234123310123303
720551324205400
oct2770306722767
9647440123233
10205136831991
1179aa84370a3
123390bab0533
1316462619130
149d004009a7
155509408846
hex2fc31ba5f7

205136831991 has 48 divisors (see below), whose sum is σ = 353699340288. Its totient is φ = 104713560000.

The previous prime is 205136831989. The next prime is 205136831993. The reversal of 205136831991 is 199138631502.

It is an interprime number because it is at equal distance from previous prime (205136831989) and next prime (205136831993).

It is not a de Polignac number, because 205136831991 - 21 = 205136831989 is a prime.

It is a super-2 number, since 2×2051368319912 (a number of 23 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 205136831991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205136831993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672135 + ... + 1790616.

It is an arithmetic number, because the mean of its divisors is an integer number (7368736256).

Almost surely, 2205136831991 is an apocalyptic number.

205136831991 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205136831991 is a deficient number, since it is larger than the sum of its proper divisors (148562508297).

205136831991 is a wasteful number, since it uses less digits than its factorization.

205136831991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462812 (or 3462805 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 205136831991 in words is "two hundred five billion, one hundred thirty-six million, eight hundred thirty-one thousand, nine hundred ninety-one".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 403 637 651 1209 1519 1911 2821 4557 8463 19747 59241 3462751 10388253 24239257 45015763 72717771 107345281 135047289 169674799 315110341 322035843 509024397 751416967 945331023 1395488653 2205772387 2254250901 4186465959 5259918769 6617317161 9768420571 15779756307 29305261713 68378943997 205136831991