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1311019424 = 251113286499
BaseRepresentation
bin100111000100100…
…1001000110100000
310101100220200112222
41032021021012200
510141110110144
6334031410212
744326324031
oct11611110640
93340820488
101311019424
11613044330
12307083968
1317b7c5850
14c618ca88
157a16a2ee
hex4e2491a0

1311019424 has 48 divisors (see below), whose sum is σ = 3032316000. Its totient is φ = 550076160.

The previous prime is 1311019421. The next prime is 1311019429. The reversal of 1311019424 is 4249101131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1311019393 and 1311019402.

It is not an unprimeable number, because it can be changed into a prime (1311019421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138674 + ... + 147825.

It is an arithmetic number, because the mean of its divisors is an integer number (63173250).

Almost surely, 21311019424 is an apocalyptic number.

It is an amenable number.

1311019424 is an abundant number, since it is smaller than the sum of its proper divisors (1721296576).

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

1311019424 is a wasteful number, since it uses less digits than its factorization.

1311019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286533 (or 286525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1311019424 is about 36208.0022094564. The cubic root of 1311019424 is about 1094.4679341372.

The spelling of 1311019424 in words is "one billion, three hundred eleven million, nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 286499 572998 1145996 2291992 3151489 3724487 4583984 6302978 7448974 9167968 12605956 14897948 25211912 29795896 40969357 50423824 59591792 81938714 100847648 119183584 163877428 327754856 655509712 1311019424