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213132110320 = 24517733121377
BaseRepresentation
bin1100011001111110101…
…0011110100111110000
3202101010112200000020201
43012133222132213300
511442443310012240
6241524520444544
721253420021633
oct3063752364760
9671115600221
10213132110320
118243057a038
1235381619754
1317137b9805c
14a45c1d9c1a
1558262bed9a
hex319fa9e9f0

213132110320 has 80 divisors (see below), whose sum is σ = 524777224608. Its totient is φ = 80223272960.

The previous prime is 213132110239. The next prime is 213132110327. The reversal of 213132110320 is 23011231312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132110327) 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, 9959472 + ... + 9980848.

Almost surely, 2213132110320 is an apocalyptic number.

213132110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132110320 is an abundant number, since it is smaller than the sum of its proper divisors (311645114288).

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

213132110320 is a wasteful number, since it uses less digits than its factorization.

213132110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28738 (or 28732 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213132110320 its reverse (23011231312), we get a palindrome (236143341632).

The spelling of 213132110320 in words is "two hundred thirteen billion, one hundred thirty-two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7331 14662 21377 29324 36655 42754 58648 73310 85508 106885 117296 124627 146620 171016 213770 249254 293240 342032 363409 427540 498508 586480 623135 726818 855080 997016 1246270 1453636 1710160 1817045 1994032 2492540 2907272 3634090 4985080 5814544 7268180 9970160 14536360 29072720 156714787 313429574 626859148 783573935 1253718296 1567147870 2507436592 2664151379 3134295740 5328302758 6268591480 10656605516 12537182960 13320756895 21313211032 26641513790 42626422064 53283027580 106566055160 213132110320