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1020165113640 = 23359787643051
BaseRepresentation
bin11101101100001101001…
…01000100011100101000
310121112020001122100001210
432312012211010130220
5113203244232114030
62100353554513120
7133463433250551
oct16660645043450
93545201570053
101020165113640
1136371667a272
1214586b2957a0
137527cc3464a
143753a62d328
151b80bc49bb0
hexed86944728

1020165113640 has 64 divisors (see below), whose sum is σ = 3092046874560. Its totient is φ = 269239449600.

The previous prime is 1020165113599. The next prime is 1020165113647. The reversal of 1020165113640 is 463115610201.

It is a happy number.

It is a super-2 number, since 2×10201651136402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1020165113598 and 1020165113607.

It is not an unprimeable number, because it can be changed into a prime (1020165113647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43809886 + ... + 43833165.

It is an arithmetic number, because the mean of its divisors is an integer number (48313232415).

Almost surely, 21020165113640 is an apocalyptic number.

1020165113640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020165113640 is an abundant number, since it is smaller than the sum of its proper divisors (2071881760920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020165113640 is a wasteful number, since it uses less digits than its factorization.

1020165113640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87643162 (or 87643158 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1020165113640 in words is "one trillion, twenty billion, one hundred sixty-five million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 87643051 175286102 262929153 350572204 438215255 525858306 701144408 876430510 1051716612 1314645765 1752861020 2103433224 2629291530 3505722040 5258583060 8501375947 10517166120 17002751894 25504127841 34005503788 42506879735 51008255682 68011007576 85013759470 102016511364 127520639205 170027518940 204033022728 255041278410 340055037880 510082556820 1020165113640