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10020102000 = 243531670017
BaseRepresentation
bin10010101010011111…
…01001111101110000
3221212022120220212220
421111033221331300
5131010121231000
64334141321040
7503210314236
oct112517517560
927768526786
1010020102000
1142820a4a37
121b37866180
13c38c0814c
146b0ab6956
153d9a2e1a0
hex2553e9f70

10020102000 has 80 divisors (see below), whose sum is σ = 32304828192. Its totient is φ = 2672025600.

The previous prime is 10020101989. The next prime is 10020102017. The reversal of 10020102000 is 20102001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10020102000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 829009 + ... + 841008.

Almost surely, 210020102000 is an apocalyptic number.

10020102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020102000 is an abundant number, since it is smaller than the sum of its proper divisors (22284726192).

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

10020102000 is a wasteful number, since it uses less digits than its factorization.

10020102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670043 (or 1670027 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10020102000 its reverse (20102001), we get a palindrome (10040204001).

Subtracting from 10020102000 its reverse (20102001), we obtain a palindrome (9999999999).

The spelling of 10020102000 in words is "ten billion, twenty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1670017 3340034 5010051 6680068 8350085 10020102 13360136 16700170 20040204 25050255 26720272 33400340 40080408 41750425 50100510 66800680 80160816 83500850 100201020 125251275 133601360 167001700 200402040 208752125 250502550 334003400 400804080 417504250 501005100 626256375 668006800 835008500 1002010200 1252512750 1670017000 2004020400 2505025500 3340034000 5010051000 10020102000