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10101252 = 2237241419
BaseRepresentation
bin100110100010…
…001000000100
3201000012022110
4212202020010
510041220002
61000301020
7151600500
oct46421004
921005273
1010101252
11577a247
123471770
132128995
1414ad300
15d47e6c
hex9a2204

10101252 has 72 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 2808960.

The previous prime is 10101239. The next prime is 10101277. The reversal of 10101252 is 25210101.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23899 + ... + 24317.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 210101252 is an apocalyptic number.

10101252 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 10101252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).

10101252 is an abundant number, since it is smaller than the sum of its proper divisors (18052188).

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

10101252 is a wasteful number, since it uses less digits than its factorization.

10101252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

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

The square root of 10101252 is about 3178.2466864609. The cubic root of 10101252 is about 216.1681646535.

Adding to 10101252 its reverse (25210101), we get a palindrome (35311353).

It can be divided in two parts, 10101 and 252, that multiplied together give a palindrome (2545452).

The spelling of 10101252 in words is "ten million, one hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 419 492 574 588 838 861 1148 1257 1676 1722 2009 2514 2933 3444 4018 5028 5866 6027 8036 8799 11732 12054 17179 17598 20531 24108 34358 35196 41062 51537 61593 68716 82124 103074 120253 123186 206148 240506 246372 360759 481012 721518 841771 1443036 1683542 2525313 3367084 5050626 10101252