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1144103122332 = 223315017705437
BaseRepresentation
bin10000101001100001110…
…111000011010110011100
311001101010111212111221000
4100221201313003112130
5122221110344403312
62233332124310300
7145441641040062
oct20514167032634
94041114774830
101144103122332
11401236427625
121658999a2390
1383b71c46c71
143d536990032
151eb627ccadc
hex10a61dc359c

1144103122332 has 48 divisors (see below), whose sum is σ = 2966395007520. Its totient is φ = 381341771136.

The previous prime is 1144103122319. The next prime is 1144103122397. The reversal of 1144103122332 is 2332213014411.

1144103122332 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 10 + 312 + 2 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144103122296 and 1144103122305.

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 15 ways as a sum of consecutive naturals, for example, 1269118 + ... + 1974554.

It is an arithmetic number, because the mean of its divisors is an integer number (61799895990).

Almost surely, 21144103122332 is an apocalyptic number.

1144103122332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144103122332 is an abundant number, since it is smaller than the sum of its proper divisors (1822291885188).

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

1144103122332 is a wasteful number, since it uses less digits than its factorization.

1144103122332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720467 (or 720459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1144103122332 its reverse (2332213014411), we get a palindrome (3476316136743).

The spelling of 1144103122332 in words is "one trillion, one hundred forty-four billion, one hundred three million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 15017 30034 45051 60068 90102 135153 180204 270306 405459 540612 705437 810918 1410874 1621836 2116311 2821748 4232622 6348933 8465244 12697866 19046799 25395732 38093598 76187196 10593547429 21187094858 31780642287 42374189716 63561284574 95341926861 127122569148 190683853722 286025780583 381367707444 572051561166 1144103122332