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9011010112 = 261385312697
BaseRepresentation
bin10000110010001100…
…10001101001000000
3212020222210202001021
420121012101221000
5121423304310422
64050053115224
7436205215336
oct103106215100
925228722037
109011010112
1139045312a5
1218b5928b14
13b07b36860
14616a7db56
1537b153dc7
hex219191a40

9011010112 has 56 divisors (see below), whose sum is σ = 19280795576. Its totient is φ = 4153724928.

The previous prime is 9011010109. The next prime is 9011010119. The reversal of 9011010112 is 2110101109.

It can be written as a sum of positive squares in 4 ways, for example, as 477684736 + 8533325376 = 21856^2 + 92376^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (9011010119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703348 + ... + 716044.

It is an arithmetic number, because the mean of its divisors is an integer number (344299921).

Almost surely, 29011010112 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 9011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640397788).

9011010112 is an abundant number, since it is smaller than the sum of its proper divisors (10269785464).

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

9011010112 is a wasteful number, since it uses less digits than its factorization.

9011010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

The square root of 9011010112 is about 94926.3404540594. The cubic root of 9011010112 is about 2080.9316979852.

The spelling of 9011010112 in words is "nine billion, eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 853 1706 3412 6824 11089 12697 13648 22178 25394 27296 44356 50788 54592 88712 101576 165061 177424 203152 330122 354848 406304 660244 709696 812608 1320488 2640976 5281952 10563904 10830541 21661082 43322164 86644328 140797033 173288656 281594066 346577312 563188132 693154624 1126376264 2252752528 4505505056 9011010112