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13213200020 = 22517197328019
BaseRepresentation
bin11000100111001000…
…10110111010010100
31021002211222002220112
430103210112322110
5204030034400040
610023044422152
7645302230016
oct142344267224
937084862815
1013213200020
115670563819
1226890a7958
1313275cb267
148d4bc61b6
15525017365
hex313916e94

13213200020 has 96 divisors (see below), whose sum is σ = 31351017600. Its totient is φ = 4647849984.

The previous prime is 13213200019. The next prime is 13213200053. The reversal of 13213200020 is 2000231231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13213199968 and 13213200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457571 + ... + 485589.

It is an arithmetic number, because the mean of its divisors is an integer number (326573100).

Almost surely, 213213200020 is an apocalyptic number.

13213200020 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 13213200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675508800).

13213200020 is an abundant number, since it is smaller than the sum of its proper divisors (18137817580).

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

13213200020 is a wasteful number, since it uses less digits than its factorization.

13213200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28137 (or 28135 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13213200020 its reverse (2000231231), we get a palindrome (15213431251).

The spelling of 13213200020 in words is "thirteen billion, two hundred thirteen million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 73 76 85 95 146 170 190 292 323 340 365 380 646 730 1241 1292 1387 1460 1615 2482 2774 3230 4964 5548 6205 6460 6935 12410 13870 23579 24820 27740 28019 47158 56038 94316 112076 117895 140095 235790 280190 471580 476323 532361 560380 952646 1064722 1905292 2045387 2129444 2381615 2661805 4090774 4763230 5323610 8181548 9050137 9526460 10226935 10647220 18100274 20453870 34771579 36200548 38862353 40907740 45250685 69543158 77724706 90501370 139086316 155449412 173857895 181002740 194311765 347715790 388623530 660660001 695431580 777247060 1321320002 2642640004 3303300005 6606600010 13213200020