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100671073334340 = 223510123969507901
BaseRepresentation
bin10110111000111101001111…
…100100001011010001000100
3111012110001122012012001120020
4112320331033210023101010
5101143343324233144330
6554035352545135140
730130150021312455
oct2670751744132104
9435401565161506
10100671073334340
112a0933a9453813
12b35a88a92a4b0
13442331a6c3372
141ac071246912c
15b98a440b8210
hex5b8f4f90b444

100671073334340 has 96 divisors (see below), whose sum is σ = 285860978081280. Its totient is φ = 26468608320000.

The previous prime is 100671073334287. The next prime is 100671073334357. The reversal of 100671073334340 is 43433370176001.

It is a junction number, because it is equal to n+sod(n) for n = 100671073334292 and 100671073334301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33305611 + ... + 36202290.

It is an arithmetic number, because the mean of its divisors is an integer number (2977718521680).

Almost surely, 2100671073334340 is an apocalyptic number.

100671073334340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100671073334340 is an abundant number, since it is smaller than the sum of its proper divisors (185189904746940).

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

100671073334340 is a wasteful number, since it uses less digits than its factorization.

100671073334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69508253 (or 69508251 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 100671073334340 in words is "one hundred trillion, six hundred seventy-one billion, seventy-three million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 239 303 404 478 505 606 717 956 1010 1195 1212 1434 1515 2020 2390 2868 3030 3585 4780 6060 7170 14340 24139 48278 72417 96556 120695 144834 241390 289668 362085 482780 724170 1448340 69507901 139015802 208523703 278031604 347539505 417047406 695079010 834094812 1042618515 1390158020 2085237030 4170474060 7020298001 14040596002 16612388339 21060894003 28081192004 33224776678 35101490005 42121788006 49837165017 66449553356 70202980010 83061941695 84243576012 99674330034 105304470015 140405960020 166123883390 199348660068 210608940030 249185825085 332247766780 421217880060 498371650170 996743300340 1677851222239 3355702444478 5033553666717 6711404888956 8389256111195 10067107333434 16778512222390 20134214666868 25167768333585 33557024444780 50335536667170 100671073334340