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10002001020 = 22351115154547
BaseRepresentation
bin10010101000010101…
…00110110001111100
3221211001112022000020
421110022212301330
5130441003013040
64332253332140
7502600414554
oct112412466174
927731468006
1010002001020
114272961450
121b31797050
13c3523b1cb
146ac524164
153d8155cd0
hex2542a6c7c

10002001020 has 48 divisors (see below), whose sum is σ = 30551568768. Its totient is φ = 2424727360.

The previous prime is 10002001003. The next prime is 10002001027. The reversal of 10002001020 is 2010020001.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002001027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7576614 + ... + 7577933.

It is an arithmetic number, because the mean of its divisors is an integer number (636491016).

Almost surely, 210002001020 is an apocalyptic number.

10002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002001020 is an abundant number, since it is smaller than the sum of its proper divisors (20549567748).

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

10002001020 is a wasteful number, since it uses less digits than its factorization.

10002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154570 (or 15154568 counting only the distinct ones).

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

Adding to 10002001020 its reverse (2010020001), we get a palindrome (12012021021).

The spelling of 10002001020 in words is "ten billion, two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15154547 30309094 45463641 60618188 75772735 90927282 151545470 166700017 181854564 227318205 303090940 333400034 454636410 500100051 666800068 833500085 909272820 1000200102 1667000170 2000400204 2500500255 3334000340 5001000510 10002001020