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101986052 = 22724711071
BaseRepresentation
bin1100001010000…
…10111100000100
321002220102120012
412011002330010
5202102023202
614041525352
72345603300
oct605027404
9232812505
10101986052
11526286a3
122a1a3858
131818a79c
14d78ad00
158e48152
hex6142f04

101986052 has 36 divisors (see below), whose sum is σ = 212050944. Its totient is φ = 42774480.

The previous prime is 101986051. The next prime is 101986123. The reversal of 101986052 is 250689101.

It is not an unprimeable number, because it can be changed into a prime (101986051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3677 + ... + 14747.

It is an arithmetic number, because the mean of its divisors is an integer number (5890304).

Almost surely, 2101986052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101986052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106025472).

101986052 is an abundant number, since it is smaller than the sum of its proper divisors (110064892).

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

101986052 is a wasteful number, since it uses less digits than its factorization.

101986052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 101986052 is about 10098.8143858574. The cubic root of 101986052 is about 467.2115745964.

The spelling of 101986052 in words is "one hundred one million, nine hundred eighty-six thousand, fifty-two".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2303 4606 9212 11071 22142 44284 77497 154994 309988 520337 542479 1040674 1084958 2081348 2169916 3642359 7284718 14569436 25496513 50993026 101986052