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1127997112319 = 72112817447541
BaseRepresentation
bin10000011010100001110…
…111011111111111111111
310222211120001120102201122
4100122201313133333333
5121440114230043234
62222110020501155
7144331551153500
oct20324167377777
93884501512648
101127997112319
113a5420a65950
12162743b4a7bb
13824a622481c
143c849904ba7
151e51d84692e
hex106a1ddffff

1127997112319 has 24 divisors (see below), whose sum is σ = 1436541481296. Its totient is φ = 875830704000.

The previous prime is 1127997112303. The next prime is 1127997112327. The reversal of 1127997112319 is 9132117997211.

It is not a de Polignac number, because 1127997112319 - 24 = 1127997112303 is a prime.

It is a super-2 number, since 2×11279971123192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127997112339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3572312 + ... + 3875229.

It is an arithmetic number, because the mean of its divisors is an integer number (59855895054).

Almost surely, 21127997112319 is an apocalyptic number.

1127997112319 is a deficient number, since it is larger than the sum of its proper divisors (308544368977).

1127997112319 is a wasteful number, since it uses less digits than its factorization.

1127997112319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447847 (or 7447840 counting only the distinct ones).

The product of its digits is 428652, while the sum is 53.

The spelling of 1127997112319 in words is "one trillion, one hundred twenty-seven billion, nine hundred ninety-seven million, one hundred twelve thousand, three hundred nineteen".

Divisors: 1 7 11 49 77 281 539 1967 3091 13769 21637 151459 7447541 52132787 81922951 364929509 573460657 2092759021 4014224599 14649313147 23020349231 102545192029 161142444617 1127997112319