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1311431220 = 2232511662339
BaseRepresentation
bin100111000101010…
…1101101000110100
310101101200121102200
41032022231220310
510141211244340
6334044304500
744332660431
oct11612555064
93341617380
101311431220
116132a5760
12307242130
1317b90b108
14c6258b88
157a1ec330
hex4e2ada34

1311431220 has 72 divisors (see below), whose sum is σ = 4339651680. Its totient is φ = 317922240.

The previous prime is 1311431179. The next prime is 1311431239. The reversal of 1311431220 is 221341131.

1311431220 is a `hidden beast` number, since 1 + 3 + 11 + 431 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1311431193 and 1311431202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329190 + ... + 333149.

It is an arithmetic number, because the mean of its divisors is an integer number (60272940).

Almost surely, 21311431220 is an apocalyptic number.

1311431220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311431220 is an abundant number, since it is smaller than the sum of its proper divisors (3028220460).

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

1311431220 is a wasteful number, since it uses less digits than its factorization.

1311431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662365 (or 662360 counting only the distinct ones).

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

The square root of 1311431220 is about 36213.6882960021. The cubic root of 1311431220 is about 1094.5825142695.

Adding to 1311431220 its reverse (221341131), we get a palindrome (1532772351).

The spelling of 1311431220 in words is "one billion, three hundred eleven million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 662339 1324678 1987017 2649356 3311695 3974034 5961051 6623390 7285729 7948068 9935085 11922102 13246780 14571458 19870170 21857187 23844204 29142916 29805255 36428645 39740340 43714374 59610510 65571561 72857290 87428748 109285935 119221020 131143122 145714580 218571870 262286244 327857805 437143740 655715610 1311431220