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22431100104 = 233271979149199
BaseRepresentation
bin10100111000111111…
…110110110011001000
32010220021001221122100
4110320333312303020
5331414330200404
614145452153400
71422602130210
oct247077666310
963807057570
1022431100104
119570853566
124420168860
1321662621ca
14112b11d240
158b43d6d39
hex538ff6cc8

22431100104 has 384 divisors, whose sum is σ = 74880000000. Its totient is φ = 5924565504.

The previous prime is 22431100073. The next prime is 22431100141. The reversal of 22431100104 is 40100113422.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112718997 + ... + 112719195.

It is an arithmetic number, because the mean of its divisors is an integer number (195000000).

Almost surely, 222431100104 is an apocalyptic number.

22431100104 is a gapful number since it is divisible by the number (24) 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 22431100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37440000000).

22431100104 is an abundant number, since it is smaller than the sum of its proper divisors (52448899896).

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

22431100104 is a wasteful number, since it uses less digits than its factorization.

22431100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22431100104 its reverse (40100113422), we get a palindrome (62531213526).

The spelling of 22431100104 in words is "twenty-two billion, four hundred thirty-one million, one hundred thousand, one hundred four".