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23344420661100 = 223252711477167241
BaseRepresentation
bin1010100111011010010111…
…11001101010011101101100
310001122201000210222012100100
411103231023321222131230
511024433333142123400
6121352140115431100
74626402335422050
oct523551371523554
9101581023865310
1023344420661100
11749034996a180
12275037b2b5490
1310044a5810096
145a9c399d9c60
152a73968db100
hex153b4be6a76c

23344420661100 has 432 divisors, whose sum is σ = 93168182854656. Its totient is φ = 4747579776000.

The previous prime is 23344420661099. The next prime is 23344420661203. The reversal of 23344420661100 is 116602444332.

23344420661100 is a `hidden beast` number, since 2 + 3 + 3 + 444 + 206 + 6 + 1 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×233444206611002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326521 + ... + 6840720.

Almost surely, 223344420661100 is an apocalyptic number.

23344420661100 is a gapful number since it is divisible by the number (20) 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 23344420661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46584091427328).

23344420661100 is an abundant number, since it is smaller than the sum of its proper divisors (69823762193556).

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

23344420661100 is a wasteful number, since it uses less digits than its factorization.

23344420661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167326 (or 7167316 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23344420661100 in words is "twenty-three trillion, three hundred forty-four billion, four hundred twenty million, six hundred sixty-one thousand, one hundred".