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20100021000 = 233536700007
BaseRepresentation
bin10010101110000011…
…011111101100001000
31220212210201212021020
4102232003133230020
5312131101133000
613122301112440
71311045234213
oct225603375410
956783655236
1020100021000
118584a35304
123a8b558720
131b84327b67
14d896c077a
157c9926ba0
hex4ae0dfb08

20100021000 has 64 divisors (see below), whose sum is σ = 62712074880. Its totient is φ = 5360004800.

The previous prime is 20100020999. The next prime is 20100021013. The reversal of 20100021000 is 12000102.

It is a happy number.

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 20100021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3347004 + ... + 3353003.

It is an arithmetic number, because the mean of its divisors is an integer number (979876170).

Almost surely, 220100021000 is an apocalyptic number.

20100021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100021000 is an abundant number, since it is smaller than the sum of its proper divisors (42612053880).

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

20100021000 is a wasteful number, since it uses less digits than its factorization.

20100021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700031 (or 6700017 counting only the distinct ones).

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

Adding to 20100021000 its reverse (12000102), we get a palindrome (20112021102).

The spelling of 20100021000 in words is "twenty billion, one hundred million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6700007 13400014 20100021 26800028 33500035 40200042 53600056 67000070 80400084 100500105 134000140 160800168 167500175 201000210 268000280 335000350 402000420 502500525 670000700 804000840 837500875 1005001050 1340001400 1675001750 2010002100 2512502625 3350003500 4020004200 5025005250 6700007000 10050010500 20100021000