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101272288491 = 32112935274221
BaseRepresentation
bin101111001010001001…
…1000111110011101011
3100200101211200021221200
41132110103013303223
53124401201212431
6114305052335243
710213423151253
oct1362423076353
9320354607850
10101272288491
1139a496262a0
1217763a74523
13971c29427a
144c8a00a963
15297aca3ee6
hex17944c7ceb

101272288491 has 24 divisors (see below), whose sum is σ = 165083358960. Its totient is φ = 59260689600.

The previous prime is 101272288483. The next prime is 101272288499. The reversal of 101272288491 is 194882272101.

101272288491 is a `hidden beast` number, since 1 + 0 + 12 + 72 + 2 + 88 + 491 = 666.

It is an interprime number because it is at equal distance from previous prime (101272288483) and next prime (101272288499).

It is not a de Polignac number, because 101272288491 - 23 = 101272288483 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101272288499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17634240 + ... + 17639981.

It is an arithmetic number, because the mean of its divisors is an integer number (6878473290).

Almost surely, 2101272288491 is an apocalyptic number.

101272288491 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101272288491 is a deficient number, since it is larger than the sum of its proper divisors (63811070469).

101272288491 is a wasteful number, since it uses less digits than its factorization.

101272288491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35274267 (or 35274264 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 101272288491 in words is "one hundred one billion, two hundred seventy-two million, two hundred eighty-eight thousand, four hundred ninety-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 35274221 105822663 317467989 388016431 1022952409 1164049293 3068857227 3492147879 9206571681 11252476499 33757429497 101272288491