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100605061100005 = 5731119312761727
BaseRepresentation
bin10110110111111111110000…
…111011011111000111100101
3111012012202020200112002210021
4112313333300323133013211
5101141303131120200010
6553545154345555141
730122322125503000
oct2667776073370745
9435182220462707
10100605061100005
112a06840424a050
12b349b274a5ab1
13441a02a4a5887
141abb44d300537
15b96e7db128da
hex5b7ff0edf1e5

100605061100005 has 64 divisors (see below), whose sum is σ = 153666964684800. Its totient is φ = 62682342676800.

The previous prime is 100605061099943. The next prime is 100605061100017. The reversal of 100605061100005 is 500001160506001.

It is not a de Polignac number, because 100605061100005 - 227 = 100604926882277 is a prime.

It is a super-2 number, since 2×1006050611000052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35047452 + ... + 37809178.

It is an arithmetic number, because the mean of its divisors is an integer number (2401046323200).

Almost surely, 2100605061100005 is an apocalyptic number.

It is an amenable number.

100605061100005 is a deficient number, since it is larger than the sum of its proper divisors (53061903584795).

100605061100005 is a wasteful number, since it uses less digits than its factorization.

100605061100005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763695 (or 2763681 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 100605061100005 in words is "one hundred trillion, six hundred five billion, sixty-one million, one hundred thousand, five".

Divisors: 1 5 7 11 35 49 55 77 245 343 385 539 1715 1931 2695 3773 9655 13517 18865 21241 67585 94619 106205 148687 473095 662333 743435 1040809 2761727 3311665 5204045 7285663 13808635 19332089 30378997 36428315 96660445 135324623 151894985 212652979 676623115 947272361 1063264895 1488570853 4736361805 5332894837 7442854265 10419995971 26664474185 37330263859 52099979855 58661843207 186651319295 261311847013 293309216035 410632902449 1306559235065 1829182929091 2053164512245 2874430317143 9145914645455 14372151585715 20121012220001 100605061100005