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11013063432 = 23372910122381
BaseRepresentation
bin10100100000110111…
…00000001100001000
31001102112000120220020
422100123200030020
5140023321012212
65020452100440
7536625331440
oct122033401410
931375016806
1011013063432
114741650618
122174304720
13106684c6a7
14766911120
15446cbed8c
hex2906e0308

11013063432 has 128 divisors (see below), whose sum is σ = 32874681600. Its totient is φ = 3007872000.

The previous prime is 11013063421. The next prime is 11013063433. The reversal of 11013063432 is 23436031011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11013063433) 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 31 ways as a sum of consecutive naturals, for example, 480882 + ... + 503262.

It is an arithmetic number, because the mean of its divisors is an integer number (256833450).

Almost surely, 211013063432 is an apocalyptic number.

11013063432 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 11013063432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437340800).

11013063432 is an abundant number, since it is smaller than the sum of its proper divisors (21861618168).

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

11013063432 is a wasteful number, since it uses less digits than its factorization.

11013063432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22527 (or 22523 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11013063432 its reverse (23436031011), we get a palindrome (34449094443).

The spelling of 11013063432 in words is "eleven billion, thirteen million, sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 101 116 168 174 202 203 232 303 348 404 406 606 609 696 707 808 812 1212 1218 1414 1624 2121 2424 2436 2828 2929 4242 4872 5656 5858 8484 8787 11716 16968 17574 20503 22381 23432 35148 41006 44762 61509 67143 70296 82012 89524 123018 134286 156667 164024 179048 246036 268572 313334 470001 492072 537144 626668 649049 940002 1253336 1298098 1880004 1947147 2260481 2596196 3760008 3894294 4520962 4543343 5192392 6781443 7788588 9041924 9086686 13562886 13630029 15577176 15823367 18083848 18173372 27125772 27260058 31646734 36346744 47470101 54251544 54520116 63293468 65553949 94940202 109040232 126586936 131107898 189880404 196661847 262215796 379760808 393323694 458877643 524431592 786647388 917755286 1376632929 1573294776 1835510572 2753265858 3671021144 5506531716 11013063432