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101145252 = 223135031289
BaseRepresentation
bin1100000011101…
…01101010100100
321001022201012110
412001311222210
5201343122002
614011521020
72335502055
oct601655244
9231281173
10101145252
1152103a1a
1229a59170
1317c54b80
14d60c72c
158d2de6c
hex6075aa4

101145252 has 48 divisors (see below), whose sum is σ = 254862720. Its totient is φ = 31035648.

The previous prime is 101145221. The next prime is 101145263. The reversal of 101145252 is 252541101.

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, 77824 + ... + 79112.

It is an arithmetic number, because the mean of its divisors is an integer number (5309640).

Almost surely, 2101145252 is an apocalyptic number.

101145252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101145252 is an abundant number, since it is smaller than the sum of its proper divisors (153717468).

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

101145252 is a wasteful number, since it uses less digits than its factorization.

101145252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 101145252 is about 10057.0995818874. The cubic root of 101145252 is about 465.9240913521.

Adding to 101145252 its reverse (252541101), we get a palindrome (353686353).

The spelling of 101145252 in words is "one hundred one million, one hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 503 1006 1289 1509 2012 2578 3018 3867 5156 6036 6539 7734 13078 15468 16757 19617 26156 33514 39234 50271 67028 78468 100542 201084 648367 1296734 1945101 2593468 3890202 7780404 8428771 16857542 25286313 33715084 50572626 101145252