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21321033012312 = 2331180999828787
BaseRepresentation
bin1001101100100001100001…
…00110010101010001011000
32210111021022110010200121220
410312100300212111101120
510243310433422343222
6113202425232132040
74330252034244015
oct466206046252130
983437273120556
1021321033012312
11688022132a730
1224841aa997020
13bb8745ab1097
14539d2cd9070c
1526e920579b5c
hex136430995458

21321033012312 has 64 divisors (see below), whose sum is σ = 58220149161600. Its totient is φ = 6452932727040.

The previous prime is 21321033012311. The next prime is 21321033012317.

21321033012312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321033012311) 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, 49700818 + ... + 50127969.

It is an arithmetic number, because the mean of its divisors is an integer number (909689830650).

Almost surely, 221321033012312 is an apocalyptic number.

21321033012312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21321033012312 is an abundant number, since it is smaller than the sum of its proper divisors (36899116149288).

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

21321033012312 is a wasteful number, since it uses less digits than its factorization.

21321033012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99829616 (or 99829612 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2132103 and 3012312, that added together give a palindrome (5144415).

The spelling of 21321033012312 in words is "twenty-one trillion, three hundred twenty-one billion, thirty-three million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 809 1618 2427 3236 4854 6472 8899 9708 17798 19416 26697 35596 53394 71192 106788 213576 99828787 199657574 299486361 399315148 598972722 798630296 1098116657 1197945444 2196233314 2395890888 3294349971 4392466628 6588699942 8784933256 13177399884 26354799768 80761488683 161522977366 242284466049 323045954732 484568932098 646091909464 888376375513 969137864196 1776752751026 1938275728392 2665129126539 3553505502052 5330258253078 7107011004104 10660516506156 21321033012312