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1313241996 = 22311101137719
BaseRepresentation
bin100111001000110…
…0111101110001100
310101112002121100110
41032101213232030
510142142220441
6334151200020
744354241603
oct11621475614
93345077313
101313241996
11614322170
12307976010
1317c0c3391
14c65aaa3a
157a458b16
hex4e467b8c

1313241996 has 96 divisors (see below), whose sum is σ = 3405265920. Its totient is φ = 390592000.

The previous prime is 1313241983. The next prime is 1313241997. The reversal of 1313241996 is 6991423131.

It is a happy number.

1313241996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1313241997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826125 + ... + 1826843.

It is an arithmetic number, because the mean of its divisors is an integer number (35471520).

Almost surely, 21313241996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313241996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702632960).

1313241996 is an abundant number, since it is smaller than the sum of its proper divisors (2092023924).

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

1313241996 is a wasteful number, since it uses less digits than its factorization.

1313241996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 1313241996 is about 36238.6809362593. The cubic root of 1313241996 is about 1095.0860690045.

The spelling of 1313241996 in words is "one billion, three hundred thirteen million, two hundred forty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 137 202 274 303 404 411 548 606 719 822 1111 1212 1438 1507 1644 2157 2222 2876 3014 3333 4314 4444 4521 6028 6666 7909 8628 9042 13332 13837 15818 18084 23727 27674 31636 41511 47454 55348 72619 83022 94908 98503 145238 152207 166044 197006 217857 290476 295509 304414 394012 435714 456621 591018 608828 798809 871428 913242 1083533 1182036 1597618 1826484 2167066 2396427 3195236 3250599 4334132 4792854 6501198 9585708 9948803 13002396 19897606 29846409 39795212 59692818 109436833 119385636 218873666 328310499 437747332 656620998 1313241996