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13131202020 = 22354127119697
BaseRepresentation
bin11000011101010111…
…00011110111100100
31020220010200011210120
430032223203313210
5203343041431040
610010555121540
7643255242546
oct141653436744
936803604716
1013131202020
115629248482
1226657432b0
13131361b631
148c7d5d696
1551cc1b7d0
hex30eae3de4

13131202020 has 96 divisors (see below), whose sum is σ = 37805031936. Its totient is φ = 3403468800.

The previous prime is 13131201983. The next prime is 13131202031. The reversal of 13131202020 is 2020213131.

It is a super-4 number, since 4×131312020204 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656812 + ... + 676508.

It is an arithmetic number, because the mean of its divisors is an integer number (393802416).

Almost surely, 213131202020 is an apocalyptic number.

13131202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18902515968).

13131202020 is an abundant number, since it is smaller than the sum of its proper divisors (24673829916).

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

13131202020 is a wasteful number, since it uses less digits than its factorization.

13131202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20021 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13131202020 its reverse (2020213131), we get a palindrome (15151415151).

The spelling of 13131202020 in words is "thirteen billion, one hundred thirty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 19697 22222 33333 39394 44444 55555 59091 66666 78788 98485 111110 118182 133332 166665 196970 222220 236364 295455 333330 393940 590910 666660 807577 1181820 1615154 2422731 3230308 4037885 4845462 5337887 8075770 9690924 10675774 12113655 16013661 16151540 21351548 24227310 26689435 32027322 48454620 53378870 64054644 80068305 106757740 160136610 218853367 320273220 437706734 656560101 875413468 1094266835 1313120202 2188533670 2626240404 3282800505 4377067340 6565601010 13131202020