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1311114402 = 2321323594129
BaseRepresentation
bin100111000100110…
…0000010010100010
310101101002111211200
41032021200102202
510141121130102
6334033422030
744330200653
oct11611402242
93341074750
101311114402
116130a9724
1230710a916
1317b829b50
14c61b552a
157a18851c
hex4e2604a2

1311114402 has 96 divisors (see below), whose sum is σ = 3247171200. Its totient is φ = 379247616.

The previous prime is 1311114377. The next prime is 1311114407. The reversal of 1311114402 is 2044111131.

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

It is not an unprimeable number, because it can be changed into a prime (1311114407) 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 47 ways as a sum of consecutive naturals, for example, 315474 + ... + 319602.

It is an arithmetic number, because the mean of its divisors is an integer number (33824700).

Almost surely, 21311114402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311114402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623585600).

1311114402 is an abundant number, since it is smaller than the sum of its proper divisors (1936056798).

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

1311114402 is a wasteful number, since it uses less digits than its factorization.

1311114402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1311114402 is about 36209.3137466039. The cubic root of 1311114402 is about 1094.4943634088.

Adding to 1311114402 its reverse (2044111131), we get a palindrome (3355225533).

The spelling of 1311114402 in words is "one billion, three hundred eleven million, one hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 59 69 78 117 118 138 177 207 234 299 354 414 531 598 767 897 1062 1357 1534 1794 2301 2691 2714 4071 4129 4602 5382 6903 8142 8258 12213 12387 13806 17641 24426 24774 35282 37161 52923 53677 74322 94967 105846 107354 158769 161031 189934 243611 284901 317538 322062 483093 487222 569802 730833 854703 966186 1234571 1461666 1709406 2192499 2469142 3166943 3703713 4384998 5603053 6333886 7407426 9500829 11111139 11206106 16809159 19001658 22222278 28502487 33618318 50427477 57004974 72839689 100854954 145679378 218519067 437038134 655557201 1311114402