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132300000120 = 23351577022293
BaseRepresentation
bin111101100110110110…
…0011100101101111000
3110122111012210100122110
41323031230130231320
54131422300000440
6140440000052320
712362342306031
oct1731554345570
9418435710573
10132300000120
11511209a0282
12217830040a0
13c625549a52
146590b37a88
153694c35080
hex1ecdb1cb78

132300000120 has 64 divisors (see below), whose sum is σ = 399428082720. Its totient is φ = 35055281664.

The previous prime is 132300000113. The next prime is 132300000149. The reversal of 132300000120 is 21000003231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132300000096 and 132300000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492307 + ... + 3529986.

Almost surely, 2132300000120 is an apocalyptic number.

132300000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300000120 is an abundant number, since it is smaller than the sum of its proper divisors (267128082600).

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

132300000120 is a wasteful number, since it uses less digits than its factorization.

132300000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022464 (or 7022460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 132300000120 its reverse (21000003231), we get a palindrome (153300003351).

It can be divided in two parts, 132300000 and 120, that multiplied together give a square (15876000000 = 1260002).

The spelling of 132300000120 in words is "one hundred thirty-two billion, three hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 7022293 14044586 21066879 28089172 35111465 42133758 56178344 70222930 84267516 105334395 140445860 168535032 210668790 280891720 421337580 842675160 1102500001 2205000002 3307500003 4410000004 5512500005 6615000006 8820000008 11025000010 13230000012 16537500015 22050000020 26460000024 33075000030 44100000040 66150000060 132300000120