Search a number
-
+
311212352401145 = 51343731094873621
BaseRepresentation
bin100011011000010111100010…
…1101101101110111011111001
31111210220121110221002221111122
41012300233011231232323321
5311242400344203314040
63021520551520435025
7122360231132411636
oct10660570555567371
91453817427087448
10311212352401145
1190186465706418
122aaa3057178a75
1310486277cc6930
1456bca8880118d
1525ea532b1d1b5
hex11b0bc5b6eef9

311212352401145 has 16 divisors (see below), whose sum is σ = 402274086700752. Its totient is φ = 229765798398720.

The previous prime is 311212352401109. The next prime is 311212352401157. The reversal of 311212352401145 is 541104253212113.

It can be written as a sum of positive squares in 8 ways, for example, as 67298331045136 + 243914021356009 = 8203556^2 + 15617747^2 .

It is not a de Polignac number, because 311212352401145 - 238 = 310937474494201 is a prime.

It is a super-2 number, since 2×3112123524011452 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547152566 + ... + 547721055.

It is an arithmetic number, because the mean of its divisors is an integer number (25142130418797).

Almost surely, 2311212352401145 is an apocalyptic number.

It is an amenable number.

311212352401145 is a deficient number, since it is larger than the sum of its proper divisors (91061734299607).

311212352401145 is a wasteful number, since it uses less digits than its factorization.

311212352401145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094878012.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 311212352401145 in words is "three hundred eleven trillion, two hundred twelve billion, three hundred fifty-two million, four hundred one thousand, one hundred forty-five".

Divisors: 1 5 13 65 4373 21865 56849 284245 1094873621 5474368105 14233357073 71166785365 4787882344633 23939411723165 62242470480229 311212352401145