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111320104224 = 2537315343707
BaseRepresentation
bin110011110101100110…
…0011111110100100000
3101122100002102012221010
41213223030133310200
53310440421313344
6123050104100520
711020421162550
oct1475314376440
9348302365833
10111320104224
1143235329a3a
12196a8a64740
13a660b53874
145560659160
152d67e598b9
hex19eb31fd20

111320104224 has 96 divisors (see below), whose sum is σ = 344733290496. Its totient is φ = 30779746560.

The previous prime is 111320104223. The next prime is 111320104241. The reversal of 111320104224 is 422401023111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1113201042244 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 111320104224.

It is not an unprimeable number, because it can be changed into a prime (111320104223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2651022 + ... + 2692685.

It is an arithmetic number, because the mean of its divisors is an integer number (3590971776).

Almost surely, 2111320104224 is an apocalyptic number.

111320104224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111320104224 is an abundant number, since it is smaller than the sum of its proper divisors (233413186272).

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

111320104224 is a wasteful number, since it uses less digits than its factorization.

111320104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343758 (or 5343750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 111320104224 its reverse (422401023111), we get a palindrome (533721127335).

The spelling of 111320104224 in words is "one hundred eleven billion, three hundred twenty million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 5343707 10687414 16031121 21374828 32062242 37405949 42749656 64124484 74811898 85499312 112217847 128248968 149623796 165654917 170998624 224435694 256497936 299247592 331309834 448871388 496964751 512995872 598495184 662619668 897742776 993929502 1159584419 1196990368 1325239336 1795485552 1987859004 2319168838 2650478672 3478753257 3590971104 3975718008 4638337676 5300957344 6957506514 7951436016 9276675352 13915013028 15902872032 18553350704 27830026056 37106701408 55660052112 111320104224