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1310011300 = 2252131007701
BaseRepresentation
bin100111000010101…
…0010111110100100
310101022000110200001
41032011102332210
510140330330200
6333554031044
744314624633
oct11605227644
93338013601
101310011300
11612515974
12306878484
1317b531a20
14c5da951a
157a01b76a
hex4e152fa4

1310011300 has 36 divisors (see below), whose sum is σ = 3061398676. Its totient is φ = 483696000.

The previous prime is 1310011291. The next prime is 1310011319. The reversal of 1310011300 is 31100131.

It can be written as a sum of positive squares in 6 ways, for example, as 296735076 + 1013276224 = 17226^2 + 31832^2 .

It is a super-2 number, since 2×13100113002 = 3432259212255380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502551 + ... + 505150.

Almost surely, 21310011300 is an apocalyptic number.

1310011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310011300 is an abundant number, since it is smaller than the sum of its proper divisors (1751387376).

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

1310011300 is a wasteful number, since it uses less digits than its factorization.

1310011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007728 (or 1007721 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1310011300 is about 36194.0782449284. The cubic root of 1310011300 is about 1094.1873274820.

Adding to 1310011300 its reverse (31100131), we get a palindrome (1341111431).

The spelling of 1310011300 in words is "one billion, three hundred ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1007701 2015402 4030804 5038505 10077010 13100113 20154020 25192525 26200226 50385050 52400452 65500565 100770100 131001130 262002260 327502825 655005650 1310011300