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100102012020 = 22325556122289
BaseRepresentation
bin101110100111010001…
…0110111110001110100
3100120101021121002102200
41131032202313301310
53120002103341040
6113553005304500
710142423030433
oct1351642676164
9316337532380
10100102012020
11394a8a8125a
1217497b65130
1395939a8c9a
144bb881711a
15290d18a630
hex174e8b7c74

100102012020 has 36 divisors (see below), whose sum is σ = 303642770340. Its totient is φ = 26693869824.

The previous prime is 100102012009. The next prime is 100102012037. The reversal of 100102012020 is 20210201001.

It can be written as a sum of positive squares in 2 ways, for example, as 74784747024 + 25317264996 = 273468^2 + 159114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102011993 and 100102012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278060965 + ... + 278061324.

Almost surely, 2100102012020 is an apocalyptic number.

100102012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012020 is an abundant number, since it is smaller than the sum of its proper divisors (203540758320).

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

100102012020 is a wasteful number, since it uses less digits than its factorization.

100102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556122304 (or 556122299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102012020 its reverse (20210201001), we get a palindrome (120312213021).

The spelling of 100102012020 in words is "one hundred billion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 556122289 1112244578 1668366867 2224489156 2780611445 3336733734 5005100601 5561222890 6673467468 8341834335 10010201202 11122445780 16683668670 20020402404 25025503005 33367337340 50051006010 100102012020