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1313220114 = 23517532999
BaseRepresentation
bin100111001000110…
…0010011000010010
310101112001111100000
41032101202120102
510142141020424
6334150510430
744354121033
oct11621423022
93345044300
101313220114
11614307788
12307965416
1317c0b642b
14c65a2a8a
157a4523c9
hex4e462612

1313220114 has 96 divisors (see below), whose sum is σ = 3184272000. Its totient is φ = 404082432.

The previous prime is 1313220113. The next prime is 1313220127. The reversal of 1313220114 is 4110223131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1313220113) 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, 436387 + ... + 439385.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 21313220114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313220114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

1313220114 is an abundant number, since it is smaller than the sum of its proper divisors (1871051886).

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

1313220114 is a wasteful number, since it uses less digits than its factorization.

1313220114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313220114 is about 36238.3790200390. The cubic root of 1313220114 is about 1095.0799866510.

Adding to 1313220114 its reverse (4110223131), we get a palindrome (5423443245).

The spelling of 1313220114 in words is "one billion, three hundred thirteen million, two hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 243 306 318 459 477 486 901 918 954 1377 1431 1802 2703 2754 2862 2999 4131 4293 5406 5998 8109 8262 8586 8997 12879 16218 17994 24327 25758 26991 48654 50983 53982 72981 80973 101966 145962 152949 158947 161946 218943 242919 305898 317894 437886 458847 476841 485838 728757 917694 953682 1376541 1430523 1457514 2702099 2753082 2861046 4129623 4291569 5404198 8106297 8259246 8583138 12388869 12874707 16212594 24318891 24777738 25749414 38624121 48637782 72956673 77248242 145913346 218870019 437740038 656610057 1313220114