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13111201312 = 2511173975519
BaseRepresentation
bin11000011010111110…
…10000111000100000
31020211202001000222121
430031133100320200
5203322431420222
610005002314024
7642623241466
oct141537207040
936752030877
1013111201312
115618a27670
12265aab8914
13130c437ab1
148c5434836
1551b0ba5c7
hex30d7d0e20

13111201312 has 96 divisors (see below), whose sum is σ = 29896231680. Its totient is φ = 5593927680.

The previous prime is 13111201307. The next prime is 13111201331. The reversal of 13111201312 is 21310211131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372889 + ... + 2378407.

It is an arithmetic number, because the mean of its divisors is an integer number (311419080).

Almost surely, 213111201312 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 13111201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948115840).

13111201312 is an abundant number, since it is smaller than the sum of its proper divisors (16785030368).

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

13111201312 is a wasteful number, since it uses less digits than its factorization.

13111201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13111201312 its reverse (21310211131), we get a palindrome (34421412443).

The spelling of 13111201312 in words is "thirteen billion, one hundred eleven million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 397 544 748 794 1496 1588 2992 3176 4367 5519 5984 6352 6749 8734 11038 12704 13498 17468 22076 26996 34936 44152 53992 60709 69872 74239 88304 93823 107984 121418 139744 148478 176608 187646 215968 242836 296956 375292 485672 593912 750584 971344 1032053 1187824 1501168 1942688 2064106 2191043 2375648 3002336 4128212 4382086 8256424 8764172 16512848 17528344 24101473 33025696 35056688 37247731 48202946 70113376 74495462 96405892 148990924 192811784 297981848 385623568 409725041 595963696 771247136 819450082 1191927392 1638900164 3277800328 6555600656 13111201312