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132124314303140 = 225173167911845901
BaseRepresentation
bin11110000010101010010110…
…110100011111101010100100
3122022210221221122011001112112
4132002222112310133222210
5114304211043430200030
61145001023321540152
736554444451306305
oct3602522664375244
9568727848131475
10132124314303140
113910a674a4aa15
121299a6b1644658
135895366a904c3
14248abcad627ac
151041ccb188a95
hex782a96d1faa4

132124314303140 has 96 divisors (see below), whose sum is σ = 303303967561728. Its totient is φ = 48129258240000.

The previous prime is 132124314303133. The next prime is 132124314303143. The reversal of 132124314303140 is 41303413421231.

It is a junction number, because it is equal to n+sod(n) for n = 132124314303097 and 132124314303106.

It is not an unprimeable number, because it can be changed into a prime (132124314303143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70654190 + ... + 72500090.

It is an arithmetic number, because the mean of its divisors is an integer number (3159416328768).

Almost surely, 2132124314303140 is an apocalyptic number.

132124314303140 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 132124314303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151651983780864).

132124314303140 is an abundant number, since it is smaller than the sum of its proper divisors (171179653258588).

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

132124314303140 is a wasteful number, since it uses less digits than its factorization.

132124314303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852749 (or 1852747 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 132124314303140 its reverse (41303413421231), we get a palindrome (173427727724371).

The spelling of 132124314303140 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred fourteen million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 6791 10540 13582 27164 33955 67910 115447 135820 210521 230894 421042 461788 577235 842084 1052605 1154470 1845901 2105210 2308940 3578857 3691802 4210420 7157714 7383604 9229505 14315428 17894285 18459010 31380317 35788570 36918020 57222931 62760634 71577140 114445862 125521268 156901585 228891724 286114655 313803170 572229310 627606340 972789827 1144458620 1945579654 3891159308 4863949135 9727898270 12535513691 19455796540 25071027382 50142054764 62677568455 125355136910 213103732747 250710273820 388600924421 426207465494 777201848842 852414930988 1065518663735 1554403697684 1943004622105 2131037327470 3886009244210 4262074654940 6606215715157 7772018488420 13212431430314 26424862860628 33031078575785 66062157151570 132124314303140