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111098889225 = 38528232
BaseRepresentation
bin110011101111000000…
…0101000010000001001
3101121202200011100000000
41213132000220100021
53310012303423400
6123012122433213
711012063656062
oct1473600502011
9347680140000
10111098889225
1143131476925
1219646962809
13a62707c10c
14553d113569
152d5380e600
hex19de028409

111098889225 has 81 divisors (see below), whose sum is σ = 206884813863. Its totient is φ = 59180744880.

The previous prime is 111098889217. The next prime is 111098889227. The reversal of 111098889225 is 522988890111.

The square root of 111098889225 is 333315.

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

It can be written as a sum of positive squares in only one way, i.e., 39995600121 + 71103289104 = 199989^2 + 266652^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 111098889225 - 23 = 111098889217 is a prime.

It is a super-2 number, since 2×1110988892252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111098889227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 134992164 + ... + 134992986.

Almost surely, 2111098889225 is an apocalyptic number.

111098889225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111098889225 is the 333315-th square number.

111098889225 is the 166658-th centered octagonal number.

It is an amenable number.

111098889225 is a deficient number, since it is larger than the sum of its proper divisors (95785924638).

111098889225 is an frugal number, since it uses more digits than its factorization.

111098889225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 111098889225 in words is "one hundred eleven billion, ninety-eight million, eight hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 823 1215 2025 2187 2469 3645 4115 6075 6561 7407 10935 12345 18225 20575 22221 32805 37035 54675 61725 66663 111105 164025 185175 199989 333315 555525 599967 677329 999945 1666575 1799901 2031987 2999835 3386645 4999725 5399703 6095961 8999505 10159935 14999175 16933225 18287883 26998515 30479805 44997525 50799675 54863649 91439415 134992575 152399025 164590947 274318245 457197075 493772841 822954735 1371591225 1481318523 2468864205 4114773675 4443955569 7406592615 12344321025 22219777845 37032963075 111098889225