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101001252 = 223115314437
BaseRepresentation
bin1100000010100…
…10100000100100
321001001101200010
412001102200210
5201324020002
614004450220
72334332202
oct601224044
9231041603
10101001252
1152015810
12299a9970
1317c04471
14d5b2072
158d0146c
hex6052824

101001252 has 48 divisors (see below), whose sum is σ = 261963072. Its totient is φ = 30026880.

The previous prime is 101001217. The next prime is 101001331. The reversal of 101001252 is 252100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (5457564).

Almost surely, 2101001252 is an apocalyptic number.

101001252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130981536).

101001252 is an abundant number, since it is smaller than the sum of its proper divisors (160961820).

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

101001252 is a wasteful number, since it uses less digits than its factorization.

101001252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14508 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101001252 is about 10049.9379102560. The cubic root of 101001252 is about 465.7028750549.

Adding to 101001252 its reverse (252100101), we get a palindrome (353101353).

The spelling of 101001252 in words is "one hundred one million, one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 14437 28874 43311 57748 86622 158807 173244 317614 476421 635228 765161 952842 1530322 1905684 2295483 3060644 4590966 8416771 9181932 16833542 25250313 33667084 50500626 101001252