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10013202020 = 2255364114737
BaseRepresentation
bin10010101001101010…
…10101011001100100
3221211211121100220002
421110311111121210
5131001334431040
64333333400432
7503064545543
oct112465253144
927754540802
1010013202020
114279211978
121b35499118
13c37660613
146adbdc15a
153d9119a15
hex254d55664

10013202020 has 48 divisors (see below), whose sum is σ = 21459353328. Its totient is φ = 3923312640.

The previous prime is 10013202019. The next prime is 10013202029. The reversal of 10013202020 is 2020231001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2063339776 + 7949862244 = 45424^2 + 89162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10013201992 and 10013202010.

It is not an unprimeable number, because it can be changed into a prime (10013202029) 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, 672092 + ... + 686828.

It is an arithmetic number, because the mean of its divisors is an integer number (447069861).

Almost surely, 210013202020 is an apocalyptic number.

10013202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013202020 is an abundant number, since it is smaller than the sum of its proper divisors (11446151308).

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

10013202020 is a wasteful number, since it uses less digits than its factorization.

10013202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10013202020 its reverse (2020231001), we get a palindrome (12033433021).

The spelling of 10013202020 in words is "ten billion, thirteen million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 641 1060 1282 2564 3205 6410 12820 14737 29474 33973 58948 67946 73685 135892 147370 169865 294740 339730 679460 781061 1562122 3124244 3905305 7810610 9446417 15621220 18892834 37785668 47232085 94464170 188928340 500660101 1001320202 2002640404 2503300505 5006601010 10013202020