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101117324731371 = 31347203412712007
BaseRepresentation
bin10110111111011100110110…
…001110001010001111101011
3111021000201111012220211121220
4112333130312032022033223
5101223201240112400441
6555020354021233123
730204325366513554
oct2677346616121753
9437021435824556
10101117324731371
112a245686762283
12b41126b5627a3
134456427291250
141ad816716932b
15ba54611de466
hex5bf73638a3eb

101117324731371 has 32 divisors (see below), whose sum is σ = 148290688186368. Its totient is φ = 60899071052160.

The previous prime is 101117324731351. The next prime is 101117324731403. The reversal of 101117324731371 is 173137423711101.

It is not a de Polignac number, because 101117324731371 - 27 = 101117324731243 is a prime.

It is a super-3 number, since 3×1011173247313713 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101117324731331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35929050 + ... + 38641056.

It is an arithmetic number, because the mean of its divisors is an integer number (4634084005824).

Almost surely, 2101117324731371 is an apocalyptic number.

101117324731371 is a deficient number, since it is larger than the sum of its proper divisors (47173363454997).

101117324731371 is a wasteful number, since it uses less digits than its factorization.

101117324731371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732411.

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 101117324731371 in words is "one hundred one trillion, one hundred seventeen billion, three hundred twenty-four million, seven hundred thirty-one thousand, three hundred seventy-one".

Divisors: 1 3 13 39 47 141 611 1833 20341 61023 264433 793299 956027 2712007 2868081 8136021 12428351 35256091 37285053 105768273 127464329 382392987 1657036277 4971108831 55164934387 165494803161 717144147031 2151432441093 2592751916189 7778255748567 33705774910457 101117324731371