Search a number
-
+
1312131120 = 24357177003
BaseRepresentation
bin100111000110101…
…1000100000110000
310101110000011111220
41032031120200300
510141401143440
6334111305040
744341634106
oct11615304060
93343004456
101312131120
11613733593
1230751b180
1317bac4861
14c639bc76
157a2d98d0
hex4e358830

1312131120 has 80 divisors (see below), whose sum is σ = 4124950272. Its totient is φ = 344968960.

The previous prime is 1312131113. The next prime is 1312131131. The reversal of 1312131120 is 211312131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 1312131120.

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, 21462 + ... + 55541.

Almost surely, 21312131120 is an apocalyptic number.

1312131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312131120 is an abundant number, since it is smaller than the sum of its proper divisors (2812819152).

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

1312131120 is a wasteful number, since it uses less digits than its factorization.

1312131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77090 (or 77084 counting only the distinct ones).

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

The square root of 1312131120 is about 36223.3504800426. The cubic root of 1312131120 is about 1094.7772028519. Note that the first 3 decimals are identical.

Adding to 1312131120 its reverse (211312131), we get a palindrome (1523443251).

The spelling of 1312131120 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 77003 154006 231009 308012 385015 462018 616024 770030 924036 1155045 1232048 1540060 1848072 2310090 3080120 3696144 4620180 5467213 6160240 9240360 10934426 16401639 18480720 21868852 27336065 32803278 43737704 54672130 65606556 82008195 87475408 109344260 131213112 164016390 218688520 262426224 328032780 437377040 656065560 1312131120