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213131153460 = 22354998778117
BaseRepresentation
bin1100011001111110011…
…0110101000000110100
3202101010110212101200110
43012133212311000310
511442443033402320
6241524444143020
721253405625151
oct3063746650064
9671113771613
10213131153460
118242aa86145
1235381237a70
1317137921674
14a45c02b228
1558261815e0
hex319f9b5034

213131153460 has 96 divisors (see below), whose sum is σ = 598718736000. Its totient is φ = 56649420288.

The previous prime is 213131153453. The next prime is 213131153467. The reversal of 213131153460 is 64351131312.

213131153460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213131153453) and next prime (213131153467).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131153467) by changing a digit.

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, 26253322 + ... + 26261438.

It is an arithmetic number, because the mean of its divisors is an integer number (6236653500).

Almost surely, 2213131153460 is an apocalyptic number.

213131153460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213131153460 is an abundant number, since it is smaller than the sum of its proper divisors (385587582540).

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

213131153460 is a wasteful number, since it uses less digits than its factorization.

213131153460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9503 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 213131153460 its reverse (64351131312), we get a palindrome (277482284772).

The spelling of 213131153460 in words is "two hundred thirteen billion, one hundred thirty-one million, one hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 877 998 1497 1754 1996 2495 2631 2994 3508 4385 4990 5262 5988 7485 8117 8770 9980 10524 13155 14970 16234 17540 24351 26310 29940 32468 40585 48702 52620 81170 97404 121755 162340 243510 437623 487020 875246 1312869 1750492 2188115 2625738 4050383 4376230 5251476 6564345 7118609 8100766 8752460 12151149 13128690 14237218 16201532 20251915 21355827 24302298 26257380 28474436 35593045 40503830 42711654 48604596 60755745 71186090 81007660 85423308 106779135 121511490 142372180 213558270 243022980 427116540 3552185891 7104371782 10656557673 14208743564 17760929455 21313115346 35521858910 42626230692 53282788365 71043717820 106565576730 213131153460