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1313112120 = 233513779873
BaseRepresentation
bin100111001000100…
…1000000000111000
310101111212000012020
41032101020000320
510142124041440
6334144314440
744353161135
oct11621100070
93344760166
101313112120
11614243631
12307912a20
1317c079228
14c657558c
157a4303d0
hex4e448038

1313112120 has 64 divisors (see below), whose sum is σ = 3968140320. Its totient is φ = 347602944.

The previous prime is 1313112109. The next prime is 1313112131. The reversal of 1313112120 is 212113131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313112109) and next prime (1313112131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23497 + ... + 56376.

Almost surely, 21313112120 is an apocalyptic number.

1313112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313112120 is an abundant number, since it is smaller than the sum of its proper divisors (2655028200).

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

1313112120 is a wasteful number, since it uses less digits than its factorization.

1313112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80024 (or 80020 counting only the distinct ones).

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

The square root of 1313112120 is about 36236.8889393116. Note that the first 3 decimals coincide. The cubic root of 1313112120 is about 1095.0499674869.

Adding to 1313112120 its reverse (212113131), we get a palindrome (1525225251).

The spelling of 1313112120 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 79873 159746 239619 319492 399365 479238 638984 798730 958476 1198095 1597460 1916952 2396190 3194920 4792380 9584760 10942601 21885202 32827803 43770404 54713005 65655606 87540808 109426010 131311212 164139015 218852020 262622424 328278030 437704040 656556060 1313112120