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101269038 = 231312710223
BaseRepresentation
bin1100000100100…
…11111000101110
321001120000000010
412002103320232
5201411102123
614014314050
72336526003
oct602237056
9231500003
10101269038
1152188a22
1229ab8926
1317c99310
14d6418aa
158d55993
hex6093e2e

101269038 has 32 divisors (see below), whose sum is σ = 219856896. Its totient is φ = 30911328.

The previous prime is 101269027. The next prime is 101269039. The reversal of 101269038 is 830962101.

It is a junction number, because it is equal to n+sod(n) for n = 101268996 and 101269014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101269039) 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 15 ways as a sum of consecutive naturals, for example, 4795 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (6870528).

Almost surely, 2101269038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101269038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109928448).

101269038 is an abundant number, since it is smaller than the sum of its proper divisors (118587858).

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

101269038 is a wasteful number, since it uses less digits than its factorization.

101269038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 101269038 is about 10063.2518601096. The cubic root of 101269038 is about 466.1140866512.

The spelling of 101269038 in words is "one hundred one million, two hundred sixty-nine thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 4953 9906 10223 20446 30669 61338 132899 265798 398697 797394 1298321 2596642 3894963 7789926 16878173 33756346 50634519 101269038