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1023113121120 = 25335236831741
BaseRepresentation
bin11101110001101100100…
…10110100110101100000
310121210211111211122002000
432320312102310311200
5113230313424333440
62102002304524000
7133626461016546
oct16706622646540
93553744748060
101023113121120
11364999758992
12146352620600
137562c91387c
1437739d7dd96
151b93096d730
hexee364b4d60

1023113121120 has 96 divisors (see below), whose sum is σ = 3580895939040. Its totient is φ = 272830164480.

The previous prime is 1023113121119. The next prime is 1023113121187. The reversal of 1023113121120 is 211213113201.

1023113121120 is a `hidden beast` number, since 1 + 0 + 231 + 1 + 312 + 1 + 120 = 666.

1023113121120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023113121093 and 1023113121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118411551 + ... + 118420190.

It is an arithmetic number, because the mean of its divisors is an integer number (37300999365).

Almost surely, 21023113121120 is an apocalyptic number.

1023113121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023113121120 is an abundant number, since it is smaller than the sum of its proper divisors (2557782817920).

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

1023113121120 is a wasteful number, since it uses less digits than its factorization.

1023113121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236831765 (or 236831751 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1023113121120 its reverse (211213113201), we get a palindrome (1234326234321).

The spelling of 1023113121120 in words is "one trillion, twenty-three billion, one hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 236831741 473663482 710495223 947326964 1184158705 1420990446 1894653928 2131485669 2368317410 2841980892 3552476115 3789307856 4262971338 4736634820 5683961784 6394457007 7104952230 7578615712 8525942676 9473269640 10657428345 11367923568 12788914014 14209904460 17051885352 18946539280 21314856690 22735847136 25577828028 28419808920 31972285035 34103770704 37893078560 42629713380 51155656056 56839617840 63944570070 68207541408 85259426760 102311312112 113679235680 127889140140 170518853520 204622624224 255778280280 341037707040 511556560560 1023113121120