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100993820230818 = 232171481222852913
BaseRepresentation
bin10110111101101001110100…
…110001111000010010100010
3111020120220200222102011010200
4112331221310301320102202
5101214140320434341233
6554443530455210030
730162364004545434
oct2675516461702242
9436526628364120
10100993820230818
112a1a8269687009
12b3b1342076916
1344478a4022c18
141ad21ac612654
15ba213373d313
hex5bda74c784a2

100993820230818 has 48 divisors (see below), whose sum is σ = 231848149020696. Its totient is φ = 31662941736960.

The previous prime is 100993820230783. The next prime is 100993820230819. The reversal of 100993820230818 is 818032028399001.

100993820230818 is a `hidden beast` number, since 1 + 0 + 0 + 99 + 38 + 202 + 308 + 18 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72508682131209 + 28485138099609 = 8515203^2 + 5337147^2 .

It is not an unprimeable number, because it can be changed into a prime (100993820230819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110973271 + ... + 111879642.

Almost surely, 2100993820230818 is an apocalyptic number.

100993820230818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100993820230818 is an abundant number, since it is smaller than the sum of its proper divisors (130854328789878).

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

100993820230818 is a wasteful number, since it uses less digits than its factorization.

100993820230818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222854419 (or 222854416 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 100993820230818 in words is "one hundred trillion, nine hundred ninety-three billion, eight hundred twenty million, two hundred thirty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1481 2962 4443 8886 13329 25177 26658 50354 75531 151062 226593 453186 222852913 445705826 668558739 1337117478 2005676217 3788499521 4011352434 7576999042 11365498563 22730997126 34096495689 68192991378 330045164153 660090328306 990135492459 1980270984918 2970406477377 5610767790601 5940812954754 11221535581202 16832303371803 33664606743606 50496910115409 100993820230818