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132114201013120 = 275305377675979
BaseRepresentation
bin11110000010100000111100…
…000001010110101110000000
3122022202222211211012200201111
4132002200330001112232000
5114304024340424404440
61144552232011013104
736553636026620614
oct3602407401265600
9568688754180644
10132114201013120
1139106355297497
121299874a73a194
135894414788321
14248a50bb4d344
1510418d839d4ea
hex78283c056b80

132114201013120 has 64 divisors (see below), whose sum is σ = 315837013273200. Its totient is φ = 52845429178368.

The previous prime is 132114201013079. The next prime is 132114201013139. The reversal of 132114201013120 is 21310102411231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132114201013091 and 132114201013100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195103291 + ... + 195779269.

Almost surely, 2132114201013120 is an apocalyptic number.

132114201013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114201013120 is an abundant number, since it is smaller than the sum of its proper divisors (183722812260080).

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

132114201013120 is an equidigital number, since it uses as much as digits as its factorization.

132114201013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981375 (or 981363 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 132114201013120 its reverse (21310102411231), we get a palindrome (153424303424351).

The spelling of 132114201013120 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 305377 610754 675979 1221508 1351958 1526885 2443016 2703916 3053770 3379895 4886032 5407832 6107540 6759790 9772064 10815664 12215080 13519580 19544128 21631328 24430160 27039160 39088256 43262656 48860320 54078320 86525312 97720640 108156640 195441280 216313280 432626560 206428439083 412856878166 825713756332 1032142195415 1651427512664 2064284390830 3302855025328 4128568781660 6605710050656 8257137563320 13211420101312 16514275126640 26422840202624 33028550253280 66057100506560 132114201013120