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11302031312 = 24111328117579
BaseRepresentation
bin10101000011010011…
…10100111111010000
31002011122202200022022
422201221310333100
5141121310000222
65105253431012
7550034452415
oct124151647720
932148680268
1011302031312
11487a77a450
12223503b468
1310b1686bc0
1479305210c
15462350042
hex2a1a74fd0

11302031312 has 80 divisors (see below), whose sum is σ = 25818972480. Its totient is φ = 4724966400.

The previous prime is 11302031311. The next prime is 11302031329. The reversal of 11302031312 is 21313020311.

11302031312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634139 + ... + 651717.

It is an arithmetic number, because the mean of its divisors is an integer number (322737156).

Almost surely, 211302031312 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 11302031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12909486240).

11302031312 is an abundant number, since it is smaller than the sum of its proper divisors (14516941168).

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

11302031312 is a wasteful number, since it uses less digits than its factorization.

11302031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17892 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11302031312 its reverse (21313020311), we get a palindrome (32615051623).

The spelling of 11302031312 in words is "eleven billion, three hundred two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 281 286 562 572 1124 1144 2248 2288 3091 3653 4496 6182 7306 12364 14612 17579 24728 29224 35158 40183 49456 58448 70316 80366 140632 160732 193369 228527 281264 321464 386738 457054 642928 773476 914108 1546952 1828216 2513797 3093904 3656432 4939699 5027594 9879398 10055188 19758796 20110376 39517592 40220752 54336689 64216087 79035184 108673378 128432174 217346756 256864348 434693512 513728696 706376957 869387024 1027457392 1412753914 2825507828 5651015656 11302031312