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100100011049988 = 223972112179187043
BaseRepresentation
bin10110110000101001011001…
…100110011100010000000100
3111010102110121212202021021020
4112300221121212130100010
5101110014310312044423
6552521151002351140
730040662406062405
oct2660513146342004
9433373555667236
10100100011049988
11299931a36aa2a4
12b2880771bb4b0
1343b1510024131
141aa0c1b50b9ac
15b88c6e98d4e3
hex5b0a5999c404

100100011049988 has 96 divisors (see below), whose sum is σ = 237203035829760. Its totient is φ = 32850919664640.

The previous prime is 100100011049981. The next prime is 100100011050007. The reversal of 100100011049988 is 889940110001001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100100011049981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535077595 + ... + 535264637.

It is an arithmetic number, because the mean of its divisors is an integer number (2470864956560).

Almost surely, 2100100011049988 is an apocalyptic number.

It is an amenable number.

100100011049988 is an abundant number, since it is smaller than the sum of its proper divisors (137103024779772).

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

100100011049988 is a wasteful number, since it uses less digits than its factorization.

100100011049988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189537 (or 189535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 42.

The spelling of 100100011049988 in words is "one hundred trillion, one hundred billion, eleven million, forty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 97 194 211 291 388 422 582 633 844 1164 1266 2179 2532 4358 6537 8716 13074 20467 26148 40934 61401 81868 122802 187043 211363 245604 374086 422726 459769 561129 634089 748172 845452 919538 1122258 1268178 1379307 1839076 2244516 2536356 2758614 5517228 18143171 36286342 39466073 44597593 54429513 72572684 78932146 89195186 108859026 118398219 133792779 157864292 178390372 217718052 236796438 267585558 407566697 473592876 535171116 815133394 1222700091 1630266788 2445400182 3828209081 4890800364 7656418162 11484627243 15312836324 22969254486 39533969609 45938508972 79067939218 85996573067 118601908827 158135878436 171993146134 237203817654 257989719201 343986292268 474407635308 515979438402 1031958876804 8341667587499 16683335174998 25025002762497 33366670349996 50050005524994 100100011049988