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100013021020 = 225114211079821
BaseRepresentation
bin101110100100100111…
…1011001011101011100
3100120011002010212201201
41131021033121131130
53114311313133040
6113540110045244
710140262436443
oct1351117313534
9316132125651
10100013021020
1139462819a80
12174721a9824
13957b41b3a3
144baaa8dd5a
15290545ca9a
hex17493d975c

100013021020 has 48 divisors (see below), whose sum is σ = 229665181536. Its totient is φ = 36281952000.

The previous prime is 100013020979. The next prime is 100013021023. The reversal of 100013021020 is 20120310001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100013020988 and 100013021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013021023) 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, 447291 + ... + 632530.

It is an arithmetic number, because the mean of its divisors is an integer number (4784691282).

Almost surely, 2100013021020 is an apocalyptic number.

100013021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013021020 is an abundant number, since it is smaller than the sum of its proper divisors (129652160516).

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

100013021020 is a wasteful number, since it uses less digits than its factorization.

100013021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080262 (or 1080260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100013021020 its reverse (20120310001), we get a palindrome (120133331021).

The spelling of 100013021020 in words is "one hundred billion, thirteen million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 421 842 1684 2105 4210 4631 8420 9262 18524 23155 46310 92620 1079821 2159642 4319284 5399105 10798210 11878031 21596420 23756062 47512124 59390155 118780310 237560620 454604641 909209282 1818418564 2273023205 4546046410 5000651051 9092092820 10001302102 20002604204 25003255255 50006510510 100013021020