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21323433432312 = 23321126923527061
BaseRepresentation
bin1001101100100101111111…
…01011001101010011111000
32210111111111201221122211100
410312102333223031103320
510243330342424313222
6113203503341331400
74330365362420034
oct466227753152370
983444451848740
1021323433432312
1168812432a9810
12248475a866b60
13bb8a391b5c4b
1453a0b9abd1c4
1526ea111854ac
hex1364bfacd4f8

21323433432312 has 48 divisors (see below), whose sum is σ = 63001053325080. Its totient is φ = 6461646494400.

The previous prime is 21323433432283. The next prime is 21323433432313.

21323433432312 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 4 + 334 + 3 + 2 + 312 = 666.

21323433432312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213234334323122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323433432313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13461762739 + ... + 13461764322.

Almost surely, 221323433432312 is an apocalyptic number.

21323433432312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21323433432312 is an abundant number, since it is smaller than the sum of its proper divisors (41677619892768).

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

21323433432312 is a wasteful number, since it uses less digits than its factorization.

21323433432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26923527084 (or 26923527077 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 2132343 and 3432312, that added together give a palindrome (5564655).

The spelling of 21323433432312 in words is "twenty-one trillion, three hundred twenty-three billion, four hundred thirty-three million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 26923527061 53847054122 80770581183 107694108244 161541162366 215388216488 242311743549 296158797671 323082324732 484623487098 592317595342 646164649464 888476393013 969246974196 1184635190684 1776952786026 1938493948392 2369270381368 2665429179039 3553905572052 5330858358078 7107811144104 10661716716156 21323433432312