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101407338 = 23253106297
BaseRepresentation
bin1100000101101…
…01101001101010
321001211000201100
412002311221222
5201430013323
614021302230
72340643134
oct602655152
9231730640
10101407338
115227291a
1229b64976
1318017256
14d67a054
158d81943
hex60b5a6a

101407338 has 24 divisors (see below), whose sum is σ = 223863588. Its totient is φ = 33164352.

The previous prime is 101407337. The next prime is 101407357. The reversal of 101407338 is 833704101.

It can be written as a sum of positive squares in 2 ways, for example, as 98069409 + 3337929 = 9903^2 + 1827^2 .

It is not an unprimeable number, because it can be changed into a prime (101407337) 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 11 ways as a sum of consecutive naturals, for example, 52195 + ... + 54102.

Almost surely, 2101407338 is an apocalyptic number.

101407338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101407338 is an abundant number, since it is smaller than the sum of its proper divisors (122456250).

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

101407338 is a wasteful number, since it uses less digits than its factorization.

101407338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106358 (or 106355 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101407338 is about 10070.1210519040. The cubic root of 101407338 is about 466.3261760071.

The spelling of 101407338 in words is "one hundred one million, four hundred seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 106297 212594 318891 637782 956673 1913346 5633741 11267482 16901223 33802446 50703669 101407338