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1107893079225 = 325247214932
BaseRepresentation
bin10000000111110011100…
…100101100110010111001
310220220122222021201220100
4100013303210230302321
5121122431112013400
62204543053350013
7143020423536222
oct20076344546271
93826588251810
101107893079225
11397944840269
1215a873198309
138062112375a
143b89d89c249
151dc438cb100
hex101f392ccb9

1107893079225 has 81 divisors (see below), whose sum is σ = 2028837227053. Its totient is φ = 577917128640.

The previous prime is 1107893079211. The next prime is 1107893079263. The reversal of 1107893079225 is 5229703987011.

It is a happy number.

The square root of 1107893079225 is 1052565.

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

1107893079225 is a `hidden beast` number, since 1 + 107 + 8 + 9 + 307 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84121461369 + 1023771617856 = 290037^2 + 1011816^2 .

It is not a de Polignac number, because 1107893079225 - 29 = 1107893078713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 742057579 + ... + 742059071.

Almost surely, 21107893079225 is an apocalyptic number.

1107893079225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1107893079225 is the 1052565-th square number.

1107893079225 is the 526283-rd centered octagonal number.

It is an amenable number.

1107893079225 is a deficient number, since it is larger than the sum of its proper divisors (920944147828).

1107893079225 is an frugal number, since it uses more digits than its factorization.

1107893079225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1107893079225 in words is "one trillion, one hundred seven billion, eight hundred ninety-three million, seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 1493 2115 2209 3525 4479 6627 7465 10575 11045 13437 19881 22395 33135 37325 55225 67185 70171 99405 111975 165675 210513 335925 350855 497025 631539 1052565 1754275 2229049 3157695 3298037 5262825 6687147 9894111 11145245 15788475 16490185 20061441 29682333 33435735 49470555 55726225 82450925 100307205 104765303 148411665 167178675 247352775 314295909 501536025 523826515 742058325 942887727 1571479545 2619132575 4714438635 4923969241 7857397725 14771907723 23572193175 24619846205 44315723169 73859538615 123099231025 221578615845 369297693075 1107893079225