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1055106061020 = 2233511177627283
BaseRepresentation
bin11110101101010010011…
…10001101001011011100
310201212102011012101001000
433112221032031023130
5114241324122423040
62124413052350300
7136141340354034
oct17265116151334
93655364171030
101055106061020
11377516957190
121505a0a75390
137865ab5063b
14390d2d668c4
151c6a4513130
hexf5a938d2dc

1055106061020 has 96 divisors (see below), whose sum is σ = 3580966045440. Its totient is φ = 255783286080.

The previous prime is 1055106061013. The next prime is 1055106061099. The reversal of 1055106061020 is 201606015501.

It is a happy number.

1055106061020 is a `hidden beast` number, since 1 + 0 + 5 + 51 + 0 + 606 + 1 + 0 + 2 + 0 = 666.

It is a super-3 number, since 3×10551060610203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88807702 + ... + 88819581.

It is an arithmetic number, because the mean of its divisors is an integer number (37301729640).

Almost surely, 21055106061020 is an apocalyptic number.

1055106061020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055106061020 is an abundant number, since it is smaller than the sum of its proper divisors (2525859984420).

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

1055106061020 is a wasteful number, since it uses less digits than its factorization.

1055106061020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177627312 (or 177627304 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1055106061020 in words is "one trillion, fifty-five billion, one hundred six million, sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 177627283 355254566 532881849 710509132 888136415 1065763698 1598645547 1776272830 1953900113 2131527396 2664409245 3197291094 3552545660 3907800226 4795936641 5328818490 5861700339 6394582188 7815600452 7993227735 9591873282 9769500565 10657636980 11723400678 15986455470 17585101017 19183746564 19539001130 23446801356 23979683205 29308501695 31972910940 35170202034 39078002260 47959366410 52755303051 58617003390 70340404068 87925505085 95918732820 105510606102 117234006780 175851010170 211021212204 263776515255 351702020340 527553030510 1055106061020