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22132113102 = 232111719401863
BaseRepresentation
bin10100100111001011…
…010011111011001110
32010010102110211120200
4110213023103323032
5330311310104402
614100051554330
71412311600041
oct244713237316
963112424520
1022132113102
119428001170
124357bbb9a6
13211932a518
1410dd530c58
1589802821c
hex5272d3ece

22132113102 has 192 divisors, whose sum is σ = 58517821440. Its totient is φ = 5958144000.

The previous prime is 22132113071. The next prime is 22132113109. The reversal of 22132113102 is 20131123122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132113109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25645123 + ... + 25645985.

It is an arithmetic number, because the mean of its divisors is an integer number (304780320).

Almost surely, 222132113102 is an apocalyptic number.

22132113102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258910720).

22132113102 is an abundant number, since it is smaller than the sum of its proper divisors (36385708338).

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

22132113102 is a wasteful number, since it uses less digits than its factorization.

22132113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22132113102 its reverse (20131123122), we get a palindrome (42263236224).

The spelling of 22132113102 in words is "twenty-two billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred two".