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101413961091 = 3417472775657
BaseRepresentation
bin101111001110010111…
…1100011110110000011
3100200202201021000020000
41132130233203312003
53130143433223331
6114331113051043
710220063306022
oct1363457436603
9320681230200
10101413961091
113a01159aa93
12177a33b6a83
139742738a01
144ca0b688b9
15298843b0e6
hex179cbe3d83

101413961091 has 80 divisors (see below), whose sum is σ = 164439766656. Its totient is φ = 62042609664.

The previous prime is 101413961059. The next prime is 101413961093. The reversal of 101413961091 is 190169314101.

101413961091 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 39 + 610 + 9 + 1 = 666.

It is not a de Polignac number, because 101413961091 - 25 = 101413961059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101413961093) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17924335 + ... + 17929991.

Almost surely, 2101413961091 is an apocalyptic number.

101413961091 is a deficient number, since it is larger than the sum of its proper divisors (63025805565).

101413961091 is a wasteful number, since it uses less digits than its factorization.

101413961091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 101413961091 in words is "one hundred one billion, four hundred thirteen million, nine hundred sixty-one thousand, ninety-one".

Divisors: 1 3 9 17 27 47 51 81 141 153 277 423 459 799 831 1269 1377 2397 2493 3807 4709 5657 7191 7479 13019 14127 16971 21573 22437 39057 42381 50913 64719 96169 117171 127143 152739 221323 265879 288507 351513 381429 458217 663969 797637 865521 1054539 1566989 1991907 2392911 2596563 4519943 4700967 5975721 7178733 7789689 13559829 14102901 17927163 21536199 26638813 40679487 42308703 73648483 79916439 122038461 126926109 220945449 239749317 366115383 662836347 719247951 1252024211 1988509041 2157743853 3756072633 5965527123 11268217899 33804653697 101413961091