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101057238 = 23219476287
BaseRepresentation
bin1100000011000…
…00001011010110
321001011020110200
412001200023112
5201332312423
614010001330
72334654342
oct601401326
9231136420
10101057238
1152053887
1229a16246
1317c23aa9
14d5c8622
158d12d43
hex60602d6

101057238 has 48 divisors (see below), whose sum is σ = 235422720. Its totient is φ = 31228848.

The previous prime is 101057237. The next prime is 101057269. The reversal of 101057238 is 832750101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12931 + ... + 19217.

It is an arithmetic number, because the mean of its divisors is an integer number (4904640).

Almost surely, 2101057238 is an apocalyptic number.

101057238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101057238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117711360).

101057238 is an abundant number, since it is smaller than the sum of its proper divisors (134365482).

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

101057238 is a wasteful number, since it uses less digits than its factorization.

101057238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101057238 is about 10052.7229147132. The cubic root of 101057238 is about 465.7889070748.

The spelling of 101057238 in words is "one hundred one million, fifty-seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 6287 8037 12574 16074 18861 37722 56583 113166 119453 238906 295489 358359 590978 716718 886467 1075077 1772934 2150154 2659401 5318802 5614291 11228582 16842873 33685746 50528619 101057238