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213120231220 = 225134119992517
BaseRepresentation
bin1100011001111011110…
…1001010011100110100
3202101002201022111012001
43012132331022130310
511442432234344340
6241523414105044
721253214034661
oct3063675123464
9671081274161
10213120231220
11824248a60a6
123537964b184
13171355990c0
14a45a7c6a68
15582522529a
hex319ef4a734

213120231220 has 48 divisors (see below), whose sum is σ = 493735224528. Its totient is φ = 76771261440.

The previous prime is 213120231031. The next prime is 213120231227. The reversal of 213120231220 is 22132021312.

It can be written as a sum of positive squares in 8 ways, for example, as 13613288976 + 199506942244 = 116676^2 + 446662^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120231227) 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, 9985599 + ... + 10006918.

It is an arithmetic number, because the mean of its divisors is an integer number (10286150511).

Almost surely, 2213120231220 is an apocalyptic number.

213120231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120231220 is an abundant number, since it is smaller than the sum of its proper divisors (280614993308).

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

213120231220 is a wasteful number, since it uses less digits than its factorization.

213120231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19992580 (or 19992578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213120231220 its reverse (22132021312), we get a palindrome (235252252532).

The spelling of 213120231220 in words is "two hundred thirteen billion, one hundred twenty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 19992517 39985034 79970068 99962585 199925170 259902721 399850340 519805442 819693197 1039610884 1299513605 1639386394 2599027210 3278772788 4098465985 5198054420 8196931970 10656011561 16393863940 21312023122 42624046244 53280057805 106560115610 213120231220