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132111424033120 = 2557216850946943
BaseRepresentation
bin11110000010011110010110…
…100000000001000101100000
3122022202201200021211111022101
4132002132112200001011200
5114304003144023024440
61144551052250420144
736553510146650200
oct3602362640010540
9568681607744271
10132111424033120
113910515a8022a4
12129980b4731654
13589409135acac
14248a326ddc400
1510417c46ae69a
hex782796801160

132111424033120 has 72 divisors (see below), whose sum is σ = 363070502855424. Its totient is φ = 45295345380096.

The previous prime is 132111424033117. The next prime is 132111424033123. The reversal of 132111424033120 is 21330424111231.

It is an interprime number because it is at equal distance from previous prime (132111424033117) and next prime (132111424033123).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132111424033123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8425465632 + ... + 8425481311.

It is an arithmetic number, because the mean of its divisors is an integer number (5042645872992).

Almost surely, 2132111424033120 is an apocalyptic number.

132111424033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132111424033120 is an abundant number, since it is smaller than the sum of its proper divisors (230959078822304).

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

132111424033120 is a wasteful number, since it uses less digits than its factorization.

132111424033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850946972 (or 16850946957 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132111424033120 its reverse (21330424111231), we get a palindrome (153441848144351).

The spelling of 132111424033120 in words is "one hundred thirty-two trillion, one hundred eleven billion, four hundred twenty-four million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 16850946943 33701893886 67403787772 84254734715 117956628601 134807575544 168509469430 235913257202 269615151088 337018938860 471826514404 539230302176 589783143005 674037877720 825696400207 943653028808 1179566286010 1348075755440 1651392800414 1887306057616 2359132572020 2696151510880 3302785600828 3774612115232 4128482001035 4718265144040 6605571201656 8256964002070 9436530288080 13211142403312 16513928004140 18873060576160 26422284806624 33027856008280 66055712016560 132111424033120