Search a number
-
+
11231368002 = 23217293125269
BaseRepresentation
bin10100111010111000…
…10001001101000010
31001222201210121110200
422131130101031002
5141000212234002
65054251110030
7545216024061
oct123534211502
931881717420
1011231368002
1148438a6018
122215442316
13109cb454aa
147878da1d8
1545b042b1c
hex29d711342

11231368002 has 48 divisors (see below), whose sum is σ = 25854224760. Its totient is φ = 3511512576.

The previous prime is 11231367991. The next prime is 11231368091. The reversal of 11231368002 is 20086313211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11064725721 + 166642281 = 105189^2 + 12909^2 .

It is a super-2 number, since 2×112313680022 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27024 + ... + 152292.

Almost surely, 211231368002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231368002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927112380).

11231368002 is an abundant number, since it is smaller than the sum of its proper divisors (14622856758).

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

11231368002 is a wasteful number, since it uses less digits than its factorization.

11231368002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125587 (or 125584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11231368002 in words is "eleven billion, two hundred thirty-one million, three hundred sixty-eight thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 293 306 586 879 1758 2637 4981 5274 9962 14943 29886 44829 89658 125269 250538 375807 751614 1127421 2129573 2254842 4259146 6388719 12777438 19166157 36703817 38332314 73407634 110111451 220222902 330334353 623964889 660668706 1247929778 1871894667 3743789334 5615684001 11231368002