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1130083557735 = 351121793478411
BaseRepresentation
bin10000011100011110001…
…110101010000101100111
311000000221110120211202210
4100130132032222011213
5122003402342321420
62223053032334503
7144434344514646
oct20343616520547
94000843524683
101130083557735
113a62a1786200
12163026844433
1382749577c02
143c9a6a6335d
151e5e1ad29e0
hex1071e3aa167

1130083557735 has 48 divisors (see below), whose sum is σ = 1998556398720. Its totient is φ = 544858142400.

The previous prime is 1130083557683. The next prime is 1130083557797. The reversal of 1130083557735 is 5377553800311.

It is not a de Polignac number, because 1130083557735 - 216 = 1130083492199 is a prime.

It is a super-4 number, since 4×11300835577354 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414321 + ... + 2064090.

It is an arithmetic number, because the mean of its divisors is an integer number (41636591640).

Almost surely, 21130083557735 is an apocalyptic number.

1130083557735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1130083557735 is a deficient number, since it is larger than the sum of its proper divisors (868472840985).

1130083557735 is a wasteful number, since it uses less digits than its factorization.

1130083557735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478620 (or 3478609 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 1130083557735 in words is "one trillion, one hundred thirty billion, eighty-three million, five hundred fifty-seven thousand, seven hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 121 165 179 363 537 605 895 1815 1969 2685 5907 9845 21659 29535 64977 108295 324885 3478411 10435233 17392055 38262521 52176165 114787563 191312605 420887731 573937815 622635569 1262663193 1867906707 2104438655 3113177845 6313315965 6848991259 9339533535 20546973777 34244956295 75338903849 102734868885 226016711547 376694519245 1130083557735