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101213252 = 22753241283
BaseRepresentation
bin1100000100001…
…10010001000100
321001110011110222
412002012101010
5201402311002
614013203512
72336204240
oct602062104
9231404428
10101213252
1152150018
1229a90598
1317c79aca
14d629420
158d441a2
hex6086444

101213252 has 48 divisors (see below), whose sum is σ = 207833472. Its totient is φ = 42232320.

The previous prime is 101213249. The next prime is 101213279. The reversal of 101213252 is 252312101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101213252.

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, 357503 + ... + 357785.

It is an arithmetic number, because the mean of its divisors is an integer number (4329864).

Almost surely, 2101213252 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 101213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103916736).

101213252 is an abundant number, since it is smaller than the sum of its proper divisors (106620220).

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

101213252 is a wasteful number, since it uses less digits than its factorization.

101213252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 101213252 is about 10060.4797102325. The cubic root of 101213252 is about 466.0284816229.

Adding to 101213252 its reverse (252312101), we get a palindrome (353525353).

The spelling of 101213252 in words is "one hundred one million, two hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 53 106 212 241 283 371 482 566 742 964 1132 1484 1687 1981 3374 3962 6748 7924 12773 14999 25546 29998 51092 59996 68203 89411 104993 136406 178822 209986 272812 357644 419972 477421 954842 1909684 3614759 7229518 14459036 25303313 50606626 101213252