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101924145 = 32513991619
BaseRepresentation
bin1100001001100…
…11110100110001
321002210021122100
412010303310301
5202043033040
614040331013
72345224641
oct604636461
9232707570
10101924145
1152596134
122a173a69
131816855b
14d772521
158e34b30
hex6133d31

101924145 has 24 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 54287136.

The previous prime is 101924143. The next prime is 101924149. The reversal of 101924145 is 541429101.

It is not a de Polignac number, because 101924145 - 21 = 101924143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101924143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62146 + ... + 63764.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2101924145 is an apocalyptic number.

101924145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101924145 is a deficient number, since it is larger than the sum of its proper divisors (74979855).

101924145 is a wasteful number, since it uses less digits than its factorization.

101924145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101924145 is about 10095.7488578114. The cubic root of 101924145 is about 467.1170207473.

The spelling of 101924145 in words is "one hundred one million, nine hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 1399 1619 4197 4857 6995 8095 12591 14571 20985 24285 62955 72855 2264981 6794943 11324905 20384829 33974715 101924145