Search a number
-
+
1313121012 = 223722233199
BaseRepresentation
bin100111001000100…
…1010001011110100
310101111212110101120
41032101022023310
510142124333022
6334144423540
744353226100
oct11621121364
93344773346
101313121012
1161424a285
12307917bb0
1317c0802a8
14c6578900
157a432d5c
hex4e44a2f4

1313121012 has 36 divisors (see below), whose sum is σ = 3564187200. Its totient is φ = 375177264.

The previous prime is 1313121011. The next prime is 1313121031. The reversal of 1313121012 is 2101213131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1313120982 and 1313121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313121011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116012 + ... + 1117187.

It is an arithmetic number, because the mean of its divisors is an integer number (99005200).

Almost surely, 21313121012 is an apocalyptic number.

1313121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313121012 is an abundant number, since it is smaller than the sum of its proper divisors (2251066188).

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

1313121012 is a wasteful number, since it uses less digits than its factorization.

1313121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233220 (or 2233211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1313121012 is about 36237.0116317557. The cubic root of 1313121012 is about 1095.0524392643.

Adding to 1313121012 its reverse (2101213131), we get a palindrome (3414334143).

It can be divided in two parts, 13131 and 21012, that added together give a palindrome (34143).

The spelling of 1313121012 in words is "one billion, three hundred thirteen million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2233199 4466398 6699597 8932796 13399194 15632393 26798388 31264786 46897179 62529572 93794358 109426751 187588716 218853502 328280253 437707004 656560506 1313121012