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11300232096 = 2532317271741
BaseRepresentation
bin10101000011000101…
…11101101110100000
31002011112101021020200
422201202331232200
5141120324411341
65105151105200
7550013250036
oct124142755640
932145337220
1011300232096
11487976069a
122234512200
1310b11a6c8a
14792b04556
154620e6db6
hex2a18bdba0

11300232096 has 144 divisors (see below), whose sum is σ = 33236356608. Its totient is φ = 3638131200.

The previous prime is 11300232079. The next prime is 11300232101. The reversal of 11300232096 is 69023200311.

It is a tau number, because it is divible by the number of its divisors (144).

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, 6489786 + ... + 6491526.

It is an arithmetic number, because the mean of its divisors is an integer number (230808032).

Almost surely, 211300232096 is an apocalyptic number.

11300232096 is a gapful number since it is divisible by the number (16) 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 11300232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618178304).

11300232096 is an abundant number, since it is smaller than the sum of its proper divisors (21936124512).

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

11300232096 is a wasteful number, since it uses less digits than its factorization.

11300232096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11300232096 in words is "eleven billion, three hundred million, two hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 727 744 992 1116 1454 1488 1741 2181 2232 2908 2976 3482 4362 4464 5223 5816 6543 6964 8724 8928 10446 11632 13086 13928 15669 17448 20892 22537 23264 26172 27856 31338 34896 41784 45074 52344 53971 55712 62676 67611 69792 83568 90148 104688 107942 125352 135222 161913 167136 180296 202833 209376 215884 250704 270444 323826 360592 405666 431768 485739 501408 540888 647652 721184 811332 863536 971478 1081776 1265707 1295304 1622664 1727072 1942956 2163552 2531414 2590608 3245328 3797121 3885912 5062828 5181216 6490656 7594242 7771824 10125656 11391363 15188484 15543648 20251312 22782726 30376968 39236917 40502624 45565452 60753936 78473834 91130904 117710751 121507872 156947668 182261808 235421502 313895336 353132253 364523616 470843004 627790672 706264506 941686008 1255581344 1412529012 1883372016 2825058024 3766744032 5650116048 11300232096