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1107737305081 = 11216325872
BaseRepresentation
bin10000000111101010010…
…010011101111111111001
310220220021010011120221121
4100013222102131333321
5121122121222230311
62204515410505241
7143013522510211
oct20075222357771
93826233146847
101107737305081
11397874914900
1215a82ab95221
13805c7a825c4
143b886d0d241
151dc34daab71
hex101ea49dff9

1107737305081 has 27 divisors (see below), whose sum is σ = 1227201916773. Its totient is φ = 999150756120.

The previous prime is 1107737305001. The next prime is 1107737305117. The reversal of 1107737305081 is 1805037377011.

The square root of 1107737305081 is 1052491.

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

It is not a de Polignac number, because 1107737305081 - 217 = 1107737174009 is a prime.

It is a super-2 number, since 2×11077373050812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1107737305001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1887116070 + ... + 1887116656.

Almost surely, 21107737305081 is an apocalyptic number.

1107737305081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1107737305081 is the 1052491-st square number.

1107737305081 is the 526246-th centered octagonal number.

It is an amenable number.

1107737305081 is a deficient number, since it is larger than the sum of its proper divisors (119464611692).

1107737305081 is an frugal number, since it uses more digits than its factorization.

1107737305081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 43.

The spelling of 1107737305081 in words is "one trillion, one hundred seven billion, seven hundred thirty-seven million, three hundred five thousand, eighty-one".

Divisors: 1 11 121 163 587 1793 6457 19723 26569 71027 95681 292259 344569 1052491 3214849 3790259 11577401 15596003 41692849 56164747 171556033 617812217 1887116363 6795934387 9154853761 100703391371 1107737305081