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1311103422 = 234101227353
BaseRepresentation
bin100111000100101…
…1101100110111110
310101101001221210000
41032021131212332
510141120302142
6334033255130
744330123646
oct11611354676
93341057700
101311103422
116130a1452
123071044a6
1317b824b55
14c61b1526
157a18514c
hex4e25d9be

1311103422 has 80 divisors (see below), whose sum is σ = 2988442512. Its totient is φ = 429580800.

The previous prime is 1311103397. The next prime is 1311103457. The reversal of 1311103422 is 2243011131.

1311103422 is a `hidden beast` number, since 1 + 311 + 10 + 342 + 2 = 666.

It is a super-2 number, since 2×13111034222 = 3437984366360220168, which contains 22 as substring.

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 = 1311103395 and 1311103404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3713998 + ... + 3714350.

Almost surely, 21311103422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311103422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494221256).

1311103422 is an abundant number, since it is smaller than the sum of its proper divisors (1677339090).

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

1311103422 is a wasteful number, since it uses less digits than its factorization.

1311103422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

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

The square root of 1311103422 is about 36209.1621278372. The cubic root of 1311103422 is about 1094.4913080991.

Adding to 1311103422 its reverse (2243011131), we get a palindrome (3554114553).

The spelling of 1311103422 in words is "one billion, three hundred eleven million, one hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 227 303 353 454 606 681 706 909 1059 1362 1818 2043 2118 2727 3177 4086 5454 6129 6354 8181 9531 12258 16362 18387 19062 22927 28593 35653 36774 45854 57186 68781 71306 80131 106959 137562 160262 206343 213918 240393 320877 412686 480786 619029 641754 721179 962631 1238058 1442358 1857087 1925262 2163537 2887893 3714174 4327074 5775786 6490611 8093231 12981222 16186462 24279693 48559386 72839079 145678158 218517237 437034474 655551711 1311103422