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111341007684 = 223219229272
BaseRepresentation
bin110011110110001110…
…0001111001101000100
3101122101112202020002100
41213230130033031010
53311011244221214
6123052132112100
711021063643564
oct1475434171504
9348345666070
10111341007684
1143246107025
12196b3a65630
13a66529228a
14556333ada4
152d69bd8309
hex19ec70f344

111341007684 has 81 divisors (see below), whose sum is σ = 297139380447. Its totient is φ = 35148305808.

The previous prime is 111341007667. The next prime is 111341007691. The reversal of 111341007684 is 486700143111.

The square root of 111341007684 is 333678.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38037829 + ... + 38040755.

Almost surely, 2111341007684 is an apocalyptic number.

111341007684 is the 333678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111341007684

111341007684 is an abundant number, since it is smaller than the sum of its proper divisors (185798372763).

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

111341007684 is an equidigital number, since it uses as much as digits as its factorization.

111341007684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 111341007684 by its sum of digits (36), we get a square (4008276276624 = 20020682).

111341007684 divided by its sum of digits (36) gives a square (3092805769 = 556132).

The spelling of 111341007684 in words is "one hundred eleven billion, three hundred forty-one million, seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2927 3249 4332 5854 6498 8781 11708 12996 17562 26343 35124 52686 55613 105372 111226 166839 222452 333678 500517 667356 1001034 1056647 2002068 2113294 3169941 4226588 6339882 8567329 9509823 12679764 17134658 19019646 25701987 34269316 38039292 51403974 77105961 102807948 154211922 162779251 308423844 325558502 488337753 651117004 976675506 1465013259 1953351012 2930026518 3092805769 5860053036 6185611538 9278417307 12371223076 18556834614 27835251921 37113669228 55670503842 111341007684