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132003111120 = 24356019071009
BaseRepresentation
bin111101011101111111…
…1111010000011010000
3110121201112010211111120
41322323333322003100
54130320244023440
6140350312442240
712352105634316
oct1727377720320
9417645124446
10132003111120
1150a89351171
12216bb6a9380
13c5a8b9ac9a
1465635340b6
153678b3cdd0
hex1ebbffa0d0

132003111120 has 160 divisors (see below), whose sum is σ = 410749127040. Its totient is φ = 35068723200.

The previous prime is 132003111067. The next prime is 132003111143. The reversal of 132003111120 is 21111300231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132003111120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130825176 + ... + 130826184.

It is an arithmetic number, because the mean of its divisors is an integer number (2567182044).

Almost surely, 2132003111120 is an apocalyptic number.

132003111120 is a gapful number since it is divisible by the number (10) 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 132003111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205374563520).

132003111120 is an abundant number, since it is smaller than the sum of its proper divisors (278746015920).

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

132003111120 is a wasteful number, since it uses less digits than its factorization.

132003111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132003111120 its reverse (21111300231), we get a palindrome (153114411351).

The spelling of 132003111120 in words is "one hundred thirty-two billion, three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 907 1009 1202 1803 1814 2018 2404 2721 3005 3027 3606 3628 4036 4535 4808 5045 5442 6010 6054 7212 7256 8072 9015 9070 9616 10090 10884 12020 12108 13605 14424 14512 15135 16144 18030 18140 20180 21768 24040 24216 27210 28848 30270 36060 36280 40360 43536 48080 48432 54420 60540 72120 72560 80720 108840 121080 144240 217680 242160 545107 606409 915163 1090214 1212818 1635321 1819227 1830326 2180428 2425636 2725535 2745489 3032045 3270642 3638454 3660652 4360856 4575815 4851272 5451070 5490978 6064090 6541284 7276908 7321304 8176605 8721712 9096135 9151630 9702544 10902140 10981956 12128180 13082568 13727445 14553816 14642608 16353210 18192270 18303260 21804280 21963912 24256360 26165136 27454890 29107632 32706420 36384540 36606520 43608560 43927824 48512720 54909780 65412840 72769080 73213040 109819560 130825680 145538160 219639120 550012963 1100025926 1650038889 2200051852 2750064815 3300077778 4400103704 5500129630 6600155556 8250194445 8800207408 11000259260 13200311112 16500388890 22000518520 26400622224 33000777780 44001037040 66001555560 132003111120