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88230100103288 = 231113569135543433
BaseRepresentation
bin10100000011111010101011…
…110001100111000001111000
3102120101201022101011210020222
4110003322223301213001320
543031030221111301123
6511352203132235212
724404262062545013
oct2403725361470170
9376351271153228
1088230100103288
11261271a23996a0
129a8b70200bb08
133a300a7ab9140
1417b0506b7a37a
15a301026226c8
hex503eabc67078

88230100103288 has 64 divisors (see below), whose sum is σ = 194694588597600. Its totient is φ = 36954561300480.

The previous prime is 88230100103263. The next prime is 88230100103377.

88230100103288 is nontrivially palindromic in base 10.

88230100103288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×882301001032882 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67120781 + ... + 68422652.

Almost surely, 288230100103288 is an apocalyptic number.

88230100103288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

88230100103288 is an abundant number, since it is smaller than the sum of its proper divisors (106464488494312).

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

88230100103288 is a wasteful number, since it uses less digits than its factorization.

88230100103288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135544032 (or 135544028 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

It can be divided in two parts, 88230100 and 103288, that added together give a palindrome (88333388).

The spelling of 88230100103288 in words is "eighty-eight trillion, two hundred thirty billion, one hundred million, one hundred three thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 569 572 1138 1144 2276 4552 6259 7397 12518 14794 25036 29588 50072 59176 81367 162734 325468 650936 135543433 271086866 542173732 1084347464 1490977763 1762064629 2981955526 3524129258 5963911052 7048258516 11927822104 14096517032 19382710919 38765421838 77124213377 77530843676 154248426754 155061687352 308496853508 616993707016 848366347147 1002614773901 1696732694294 2005229547802 3393465388588 4010459095604 6786930777176 8020918191208 11028762512911 22057525025822 44115050051644 88230100103288