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131021221224432 = 243721110369488399
BaseRepresentation
bin11101110010100111000001…
…010110010101111111110000
3122011220111200011220121111010
4131302213001112111333300
5114133122430113140212
61142354152412550520
736411654000661500
oct3562470126257760
9564814604817433
10131021221224432
1138824873735130
1212840959a82440
13581532c241656
14244d664b83a00
151023268daa03c
hex7729c1595ff0

131021221224432 has 240 divisors, whose sum is σ = 429568273728000. Its totient is φ = 34028134318080.

The previous prime is 131021221224431. The next prime is 131021221224433. The reversal of 131021221224432 is 234422122120131.

It is an interprime number because it is at equal distance from previous prime (131021221224431) and next prime (131021221224433).

It is a super-2 number, since 2×1310212212244322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131021221224432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021221224431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268022569 + ... + 268510967.

It is an arithmetic number, because the mean of its divisors is an integer number (1789867807200).

Almost surely, 2131021221224432 is an apocalyptic number.

131021221224432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131021221224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214784136864000).

131021221224432 is an abundant number, since it is smaller than the sum of its proper divisors (298547052503568).

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

131021221224432 is a wasteful number, since it uses less digits than its factorization.

131021221224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498804 (or 498791 counting only the distinct ones).

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

Adding to 131021221224432 its reverse (234422122120131), we get a palindrome (365443343344563).

The spelling of 131021221224432 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty-one million, two hundred twenty-four thousand, four hundred thirty-two".