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101044152 = 23331123432
BaseRepresentation
bin1100000010111…
…00111110111000
321001010120112000
412001130332320
5201331403102
614005421000
72334601236
oct601347670
9231116460
10101044152
1152044a70
1229a0a760
1317c1ab51
14d5c3956
158d0e01c
hex605cfb8

101044152 has 192 divisors, whose sum is σ = 327110400. Its totient is φ = 28607040.

The previous prime is 101044127. The next prime is 101044169. The reversal of 101044152 is 251440101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2349843 + ... + 2349885.

It is an arithmetic number, because the mean of its divisors is an integer number (1703700).

Almost surely, 2101044152 is an apocalyptic number.

101044152 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 101044152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163555200).

101044152 is an abundant number, since it is smaller than the sum of its proper divisors (226066248).

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

101044152 is a wasteful number, since it uses less digits than its factorization.

101044152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101044152 is about 10052.0720252095. The cubic root of 101044152 is about 465.7688010541.

Adding to 101044152 its reverse (251440101), we get a palindrome (352484253).

The spelling of 101044152 in words is "one hundred one million, forty-four thousand, one hundred fifty-two".