Search a number
-
+
12035311353021 = 311395699216973
BaseRepresentation
bin1010111100100011000001…
…1101010011110010111101
31120121120020112121200210010
42233020300131103302331
53034141304201244041
641332540134533433
72351344143401415
oct257106035236275
946546215550703
1012035311353021
113920168553a90
121424635507279
13693c04287a08
142d87255b5645
1515d0ecea3a16
hexaf230753cbd

12035311353021 has 16 divisors (see below), whose sum is σ = 17506351736640. Its totient is φ = 7293942961920.

The previous prime is 12035311352963. The next prime is 12035311353031.

12035311353021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12035311353021 - 26 = 12035311352957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12035311353021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12035311353031) 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, 3302710 + ... + 5914263.

It is an arithmetic number, because the mean of its divisors is an integer number (1094146983540).

Almost surely, 212035311353021 is an apocalyptic number.

12035311353021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12035311353021 is a deficient number, since it is larger than the sum of its proper divisors (5471040383619).

12035311353021 is a wasteful number, since it uses less digits than its factorization.

12035311353021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256556.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 1203531 and 1353021, that added together give a palindrome (2556552).

The spelling of 12035311353021 in words is "twelve trillion, thirty-five billion, three hundred eleven million, three hundred fifty-three thousand, twenty-one".

Divisors: 1 3 11 33 39569 118707 435259 1305777 9216973 27650919 101386703 304160109 364706404637 1094119213911 4011770451007 12035311353021