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1120140211032 = 233241613619007
BaseRepresentation
bin10000010011001101100…
…011110011001101011000
310222002021111102111100200
4100103031203303031120
5121323021343223112
62214330232102200
7143633055460653
oct20231543631530
93862244374320
101120140211032
113a2059a466a7
12161110834960
13818235352cb
143c30224a89a
151e20dbb5cdc
hex104cd8f3358

1120140211032 has 96 divisors (see below), whose sum is σ = 3112780769280. Its totient is φ = 363678405120.

The previous prime is 1120140210989. The next prime is 1120140211049. The reversal of 1120140211032 is 2301120410211.

1120140211032 is a `hidden beast` number, since 1 + 120 + 1 + 402 + 110 + 32 = 666.

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 = 1120140210996 and 1120140211014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500073 + ... + 2119079.

It is an arithmetic number, because the mean of its divisors is an integer number (32424799680).

Almost surely, 21120140211032 is an apocalyptic number.

1120140211032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120140211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556390384640).

1120140211032 is an abundant number, since it is smaller than the sum of its proper divisors (1992640558248).

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

1120140211032 is a wasteful number, since it uses less digits than its factorization.

1120140211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619673 (or 619666 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1120140211032 its reverse (2301120410211), we get a palindrome (3421260621243).

The spelling of 1120140211032 in words is "one trillion, one hundred twenty billion, one hundred forty million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 613 738 984 1226 1476 1839 2452 2952 3678 4904 5517 7356 11034 14712 22068 25133 44136 50266 75399 100532 150798 201064 226197 301596 452394 603192 619007 904788 1238014 1809576 1857021 2476028 3714042 4952056 5571063 7428084 11142126 14856168 22284252 25379287 44568504 50758574 76137861 101517148 152275722 203034296 228413583 304551444 379451291 456827166 609102888 758902582 913654332 1138353873 1517805164 1827308664 2276707746 3035610328 3415061619 4553415492 6830123238 9106830984 13660246476 15557502931 27320492952 31115005862 46672508793 62230011724 93345017586 124460023448 140017526379 186690035172 280035052758 373380070344 560070105516 1120140211032