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213010031320 = 235191733161729
BaseRepresentation
bin1100011001100001100…
…0110010001011011000
3202100211000221202100021
43012120120302023120
511442221032000240
6241504440120224
721250405251322
oct3063030621330
9670730852307
10213010031320
11823786782a9
1235348766074
13171187c3a68
14a449cdc612
15581a70854a
hex31986322d8

213010031320 has 64 divisors (see below), whose sum is σ = 504791676000. Its totient is φ = 80672514048.

The previous prime is 213010031317. The next prime is 213010031327. The reversal of 213010031320 is 23130010312.

It is a junction number, because it is equal to n+sod(n) for n = 213010031294 and 213010031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213010031327) 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, 1236216 + ... + 1397944.

Almost surely, 2213010031320 is an apocalyptic number.

213010031320 is a gapful number since it is divisible by the number (20) 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 213010031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252395838000).

213010031320 is an abundant number, since it is smaller than the sum of its proper divisors (291781644680).

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

213010031320 is a wasteful number, since it uses less digits than its factorization.

213010031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163492 (or 163488 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213010031320 its reverse (23130010312), we get a palindrome (236140041632).

The spelling of 213010031320 in words is "two hundred thirteen billion, ten million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1733 3466 6932 8665 13864 17330 32927 34660 65854 69320 131708 161729 164635 263416 323458 329270 646916 658540 808645 1293832 1317080 1617290 3072851 3234580 6145702 6469160 12291404 15364255 24582808 30728510 61457020 122914040 280276357 560552714 1121105428 1401381785 2242210856 2802763570 5325250783 5605527140 10650501566 11211054280 21301003132 26626253915 42602006264 53252507830 106505015660 213010031320