Search a number
-
+
305116257157331 = 31148916993890591
BaseRepresentation
bin100010101100000000110101…
…0000111111000000011010011
31111000022211101120102012212012
41011120001222013320003103
5304443011043313013311
63000532250135053135
7121160631200662664
oct10530015207700323
91430284346365765
10305116257157331
1189246094889aa4
122a2796a92111ab
131013345510c129
14554b9c43d136b
152541b9265a78b
hex115806a1f80d3

305116257157331 has 16 divisors (see below), whose sum is σ = 315355825152000. Its totient is φ = 294901742044800.

The previous prime is 305116257157307. The next prime is 305116257157339. The reversal of 305116257157331 is 133751752611503.

It is a de Polignac number, because none of the positive numbers 2k-305116257157331 is a prime.

It is a super-2 number, since 2×3051162571573312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 305116257157331.

It is not an unprimeable number, because it can be changed into a prime (305116257157339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76478846 + ... + 80369436.

It is an arithmetic number, because the mean of its divisors is an integer number (19709739072000).

Almost surely, 2305116257157331 is an apocalyptic number.

305116257157331 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

305116257157331 is a deficient number, since it is larger than the sum of its proper divisors (10239567994669).

305116257157331 is a wasteful number, since it uses less digits than its factorization.

305116257157331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893810.

The product of its (nonzero) digits is 1984500, while the sum is 50.

The spelling of 305116257157331 in words is "three hundred five trillion, one hundred sixteen billion, two hundred fifty-seven million, one hundred fifty-seven thousand, three hundred thirty-one".

Divisors: 1 31 1489 1699 46159 52669 2529811 3890591 78424141 120608321 5793089999 6610114109 179585789969 204913537379 9842459908301 305116257157331