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100000100088 = 23327474221551
BaseRepresentation
bin101110100100001111…
…0000110111011111000
3100120010011211102112200
41131020132012323320
53114300011200323
6113534525110200
710140044553210
oct1351036067370
9316104742480
10100000100088
11394564a4319
12174699b8360
139578846175
144ba9089240
152904259443
hex1748786ef8

100000100088 has 96 divisors (see below), whose sum is σ = 316109813760. Its totient is φ = 27963547200.

The previous prime is 100000100087. The next prime is 100000100113. The reversal of 100000100088 is 880001000001.

It is a happy number.

It is a super-2 number, since 2×1000001000882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100000100088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100087) 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, 2087088 + ... + 2134463.

It is an arithmetic number, because the mean of its divisors is an integer number (3292810560).

Almost surely, 2100000100088 is an apocalyptic number.

100000100088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100000100088 is an abundant number, since it is smaller than the sum of its proper divisors (216109713672).

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

100000100088 is a wasteful number, since it uses less digits than its factorization.

100000100088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221617 (or 4221610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100000100088 its reverse (880001000001), we get a palindrome (980001100089).

The spelling of 100000100088 in words is "one hundred billion, one hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688 4221551 8443102 12664653 16886204 25329306 29550857 33772408 37993959 50658612 59101714 75987918 88652571 101317224 118203428 151975836 177305142 198412897 236406856 265957713 303951672 354610284 396825794 531915426 595238691 709220568 793651588 1063830852 1190477382 1388890279 1587303176 1785716073 2127661704 2380954764 2777780558 3571432146 4166670837 4761909528 5555561116 7142864292 8333341674 11111122232 12500012511 14285728584 16666683348 25000025022 33333366696 50000050044 100000100088