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20102010012 = 22327353225977
BaseRepresentation
bin10010101110001011…
…000101010010011100
31220212221110220200100
4102232023011102130
5312132103310022
613122411501100
71311101160120
oct225613052234
956787426610
1020102010012
118586073717
123a90157790
131b848732a6
14d89a7b580
157c9bbb1ac
hex4ae2c549c

20102010012 has 72 divisors (see below), whose sum is σ = 58237242336. Its totient is φ = 5727135744.

The previous prime is 20102010001. The next prime is 20102010079. The reversal of 20102010012 is 21001020102.

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 = 20102009976 and 20102010003.

It is a congruent number.

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, 24033 + ... + 201944.

It is an arithmetic number, because the mean of its divisors is an integer number (808850588).

Almost surely, 220102010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29118621168).

20102010012 is an abundant number, since it is smaller than the sum of its proper divisors (38135232324).

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

20102010012 is a wasteful number, since it uses less digits than its factorization.

20102010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226347 (or 226342 counting only the distinct ones).

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

Adding to 20102010012 its reverse (21001020102), we get a palindrome (41103030114).

The spelling of 20102010012 in words is "twenty billion, one hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 353 706 1059 1412 2118 2471 3177 4236 4942 6354 7413 9884 12708 14826 22239 29652 44478 88956 225977 451954 677931 903908 1355862 1581839 2033793 2711724 3163678 4067586 4745517 6327356 8135172 9491034 14236551 18982068 28473102 56946204 79769881 159539762 239309643 319079524 478619286 558389167 717928929 957238572 1116778334 1435857858 1675167501 2233556668 2871715716 3350335002 5025502503 6700670004 10051005006 20102010012