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10100000088 = 2332197383041
BaseRepresentation
bin10010110100000000…
…11100010101011000
3222001212221011110100
421122000130111120
5131141100000323
64350114015400
7505200404253
oct113200342530
928055834410
1010100000088
114313206612
121b5a577560
13c4c631019
146bb55409a
153e1a62943
hex25a01c558

10100000088 has 48 divisors (see below), whose sum is σ = 28793863800. Its totient is φ = 3189473280.

The previous prime is 10100000087. The next prime is 10100000111. The reversal of 10100000088 is 88000000101.

It is a happy number.

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 10100000088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3690153 + ... + 3692888.

Almost surely, 210100000088 is an apocalyptic number.

10100000088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10100000088 is an abundant number, since it is smaller than the sum of its proper divisors (18693863712).

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

10100000088 is a wasteful number, since it uses less digits than its factorization.

10100000088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383072 (or 7383065 counting only the distinct ones).

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

Adding to 10100000088 its reverse (88000000101), we get a palindrome (98100000189).

The spelling of 10100000088 in words is "ten billion, one hundred million, eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 7383041 14766082 22149123 29532164 44298246 59064328 66447369 88596492 132894738 140277779 177192984 265789476 280555558 420833337 531578952 561111116 841666674 1122222232 1262500011 1683333348 2525000022 3366666696 5050000044 10100000088