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1313213110 = 2511172101409
BaseRepresentation
bin100111001000110…
…0000101010110110
310101112001010201121
41032101200222312
510142140304420
6334150414154
744354061436
oct11621405266
93345033647
101313213110
116143024a0
1230796135a
1317c0b31a1
14c65a02c6
157a4502aa
hex4e460ab6

1313213110 has 96 divisors (see below), whose sum is σ = 2773167840. Its totient is φ = 443904000.

The previous prime is 1313213053. The next prime is 1313213113. The reversal of 1313213110 is 113123131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313213113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3210586 + ... + 3210994.

It is an arithmetic number, because the mean of its divisors is an integer number (28887165).

Almost surely, 21313213110 is an apocalyptic number.

1313213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313213110 is an abundant number, since it is smaller than the sum of its proper divisors (1459954730).

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

1313213110 is a wasteful number, since it uses less digits than its factorization.

1313213110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1313213110 is about 36238.2823820335. The cubic root of 1313213110 is about 1095.0780397943.

Adding to 1313213110 its reverse (113123131), we get a palindrome (1426336241).

It can be divided in two parts, 131321 and 3110, that added together give a palindrome (134431).

The spelling of 1313213110 in words is "one billion, three hundred thirteen million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 101 110 170 187 202 289 374 409 505 578 818 935 1010 1111 1445 1717 1870 2045 2222 2890 3179 3434 4090 4499 5555 6358 6953 8585 8998 11110 13906 15895 17170 18887 22495 29189 31790 34765 37774 41309 44990 58378 69530 76483 82618 94435 118201 145945 152966 188870 206545 236402 291890 321079 382415 413090 454399 591005 642158 702253 764830 908798 1182010 1300211 1404506 1605395 2271995 2600422 3210790 3511265 4543990 6501055 7022530 7724783 11938301 13002110 15449566 23876602 38623915 59691505 77247830 119383010 131321311 262642622 656606555 1313213110