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21231422413212 = 22311187185966921
BaseRepresentation
bin1001101001111010100110…
…11001000001100110011100
32210011201000022222121010010
410310331103121001212130
510240323423114210322
6113053325242043220
74320630303566034
oct464752331014634
983151008877103
1021231422413212
1168462174a5270
12246a9604a9510
13bb016485bc4b
1453586ba988c4
1526c4284bb20c
hex134f5364199c

21231422413212 has 48 divisors (see below), whose sum is σ = 54072506202624. Its totient is φ = 6430325616000.

The previous prime is 21231422413189. The next prime is 21231422413219.

21231422413212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21231422413212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231422413219) 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, 42736489 + ... + 43230432.

It is an arithmetic number, because the mean of its divisors is an integer number (1126510545888).

Almost surely, 221231422413212 is an apocalyptic number.

21231422413212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21231422413212 is an abundant number, since it is smaller than the sum of its proper divisors (32841083789412).

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

21231422413212 is a wasteful number, since it uses less digits than its factorization.

21231422413212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85968810 (or 85968808 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2123142 and 2413212, that added together give a palindrome (4536354).

The spelling of 21231422413212 in words is "twenty-one trillion, two hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1871 3742 5613 7484 11226 20581 22452 41162 61743 82324 123486 246972 85966921 171933842 257900763 343867684 515801526 945636131 1031603052 1891272262 2836908393 3782544524 5673816786 11347633572 160844109191 321688218382 482532327573 643376436764 965064655146 1769285201101 1930129310292 3538570402202 5307855603303 7077140804404 10615711206606 21231422413212