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101054032 = 241512277
BaseRepresentation
bin1100000010111…
…11011001010000
321001011002001221
412001133121100
5201332212112
614005534424
72334642112
oct601373120
9231132057
10101054032
1152051432
1229a14414
1317c224b1
14d5c73b2
158d11e07
hex605f650

101054032 has 30 divisors (see below), whose sum is σ = 197808954. Its totient is φ = 50011200.

The previous prime is 101054029. The next prime is 101054039. The reversal of 101054032 is 230450101.

It can be written as a sum of positive squares in only one way, i.e., 71503936 + 29550096 = 8456^2 + 5436^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101053997 and 101054015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101054039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364678 + ... + 364954.

Almost surely, 2101054032 is an apocalyptic number.

It is an amenable number.

101054032 is a deficient number, since it is larger than the sum of its proper divisors (96754922).

101054032 is an equidigital number, since it uses as much as digits as its factorization.

101054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 101054032 is about 10052.5634541643. The cubic root of 101054032 is about 465.7839813678.

The spelling of 101054032 in words is "one hundred one million, fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 151 277 302 554 604 1108 1208 2216 2416 4432 22801 41827 45602 83654 91204 167308 182408 334616 364816 669232 6315877 12631754 25263508 50527016 101054032