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1001112252 = 2237174117099
BaseRepresentation
bin111011101010111…
…100001010111100
32120202202202211120
4323222330022330
54022241043002
6243201150540
733544212420
oct7352741274
92522682746
101001112252
114741134a8
1223b32b450
1312c53951a
1496d5ab80
155cd50cbc
hex3babc2bc

1001112252 has 96 divisors (see below), whose sum is σ = 2895782400. Its totient is φ = 262625280.

The previous prime is 1001112251. The next prime is 1001112271. The reversal of 1001112252 is 2522111001.

It is a super-2 number, since 2×10011122522 = 2004451482209023008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49999 + ... + 67097.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 21001112252 is an apocalyptic number.

1001112252 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 1001112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

1001112252 is an abundant number, since it is smaller than the sum of its proper divisors (1894670148).

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

1001112252 is a wasteful number, since it uses less digits than its factorization.

1001112252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17171 (or 17169 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1001112252 is about 31640.3579625768. The cubic root of 1001112252 is about 1000.3706132955.

Adding to 1001112252 its reverse (2522111001), we get a palindrome (3523223253).

The spelling of 1001112252 in words is "one billion, one million, one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 574 697 714 861 1148 1394 1428 1722 2091 2788 3444 4182 4879 8364 9758 14637 17099 19516 29274 34198 51297 58548 68396 102594 119693 205188 239386 290683 359079 478772 581366 701059 718158 872049 1162732 1402118 1436316 1744098 2034781 2103177 2804236 3488196 4069562 4206354 4907413 6104343 8139124 8412708 9814826 11918003 12208686 14722239 19629652 23836006 24417372 29444478 35754009 47672012 58888956 71508018 83426021 143016036 166852042 250278063 333704084 500556126 1001112252