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13301104432 = 2471119599631
BaseRepresentation
bin11000110001100111…
…01011111100110000
31021022222101010002111
430120303223330300
5204220040320212
610035504455104
7650420344060
oct143063537460
937288333074
1013301104432
1157061436a0
1226b261a494
13133c8983c5
149027493a0
1552caccea7
hex318cebf30

13301104432 has 160 divisors (see below), whose sum is σ = 34397798400. Its totient is φ = 4825785600.

The previous prime is 13301104423. The next prime is 13301104463. The reversal of 13301104432 is 23440110331.

It is a super-2 number, since 2×133011044322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376257 + ... + 1385887.

It is an arithmetic number, because the mean of its divisors is an integer number (214986240).

Almost surely, 213301104432 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 13301104432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198899200).

13301104432 is an abundant number, since it is smaller than the sum of its proper divisors (21096693968).

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

13301104432 is a wasteful number, since it uses less digits than its factorization.

13301104432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13301104432 its reverse (23440110331), we get a palindrome (36741214763).

The spelling of 13301104432 in words is "thirteen billion, three hundred one million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 59 76 77 88 112 118 133 152 154 176 209 236 266 304 308 413 418 472 532 616 649 826 836 944 1064 1121 1232 1298 1463 1652 1672 2128 2242 2596 2926 3304 3344 4484 4543 5192 5852 6608 7847 8968 9086 9631 10384 11704 12331 15694 17936 18172 19262 23408 24662 31388 36344 38524 49324 62776 67417 72688 77048 86317 98648 105941 125552 134834 154096 172634 182989 197296 211882 269668 345268 365978 423764 539336 568229 690536 731956 741587 847528 1078672 1136458 1280923 1381072 1463912 1483174 1695056 2012879 2272916 2561846 2927824 2966348 3977603 4025758 4545832 5123692 5932696 6250519 7955206 8051516 9091664 10247384 10796351 11865392 12501038 14090153 15910412 16103032 20494768 21592702 25002076 28180306 31820824 32206064 43185404 43753633 50004152 56360612 63641648 75574457 86370808 87507266 100008304 112721224 118759861 151148914 172741616 175014532 225442448 237519722 302297828 350029064 475039444 604595656 700058128 831319027 950078888 1209191312 1662638054 1900157776 3325276108 6650552216 13301104432