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20130020010 = 23251131979353
BaseRepresentation
bin10010101111110101…
…111011101010101010
31220221220011222011200
4102233311323222222
5312211241120020
613125252105030
71311561226662
oct225765735252
956856158150
1020130020010
11859a964a81
123a99605176
131b8a5cc559
14d8d68d1a2
157cc3a0590
hex4afd7baaa

20130020010 has 48 divisors (see below), whose sum is σ = 52801247304. Its totient is φ = 5320498176.

The previous prime is 20130019997. The next prime is 20130020021. The reversal of 20130020010 is 1002003102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4792931361 + 15337088649 = 69231^2 + 123843^2 .

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 = 20130019974 and 20130020001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979507 + ... + 999846.

Almost surely, 220130020010 is an apocalyptic number.

20130020010 is an abundant number, since it is smaller than the sum of its proper divisors (32671227294).

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

20130020010 is a wasteful number, since it uses less digits than its factorization.

20130020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979479 (or 1979476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20130020010 its reverse (1002003102), we get a palindrome (21132023112).

The spelling of 20130020010 in words is "twenty billion, one hundred thirty million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 1979353 3958706 5938059 9896765 11876118 17814177 19793530 29690295 35628354 59380590 89070885 178141770 223666889 447333778 671000667 1118334445 1342001334 2013002001 2236668890 3355003335 4026004002 6710006670 10065010005 20130020010