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10100200020 = 2235168336667
BaseRepresentation
bin10010110100000010…
…01101001001010100
3222001220022022201020
421122001031021110
5131141122400040
64350122201140
7505202166201
oct113201151124
928056268636
1010100200020
114313332849
121b5a6531b0
13c4c6a1021
146bb5a6ca8
153e1aa1cd0
hex25a04d254

10100200020 has 24 divisors (see below), whose sum is σ = 28280560224. Its totient is φ = 2693386656.

The previous prime is 10100200003. The next prime is 10100200037. The reversal of 10100200020 is 2000200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100200003) and next prime (10100200037).

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 junction number, because it is equal to n+sod(n) for n = 10100199981 and 10100200008.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84168274 + ... + 84168393.

It is an arithmetic number, because the mean of its divisors is an integer number (1178356676).

Almost surely, 210100200020 is an apocalyptic number.

10100200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100200020 is an abundant number, since it is smaller than the sum of its proper divisors (18180360204).

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

10100200020 is a wasteful number, since it uses less digits than its factorization.

10100200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168336679 (or 168336677 counting only the distinct ones).

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

Adding to 10100200020 its reverse (2000200101), we get a palindrome (12100400121).

The spelling of 10100200020 in words is "ten billion, one hundred million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 168336667 336673334 505010001 673346668 841683335 1010020002 1683366670 2020040004 2525050005 3366733340 5050100010 10100200020