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132014330120 = 23529891278713
BaseRepresentation
bin111101011110010101…
…0101101000100001000
3110121202022020211002002
41322330222231010020
54130331132030440
6140351353130132
712352303201631
oct1727452550410
9417668224062
10132014330120
1150a94714172
12217033b9948
13c5ab2c864a
146564c14888
153679b07115
hex1ebcaad108

132014330120 has 64 divisors (see below), whose sum is σ = 310727502000. Its totient is φ = 50411941888.

The previous prime is 132014330117. The next prime is 132014330171. The reversal of 132014330120 is 21033410231.

It can be written as a sum of positive squares in 8 ways, for example, as 4403915044 + 127610415076 = 66362^2 + 357226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132014330092 and 132014330101.

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, 536117 + ... + 742596.

Almost surely, 2132014330120 is an apocalyptic number.

132014330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014330120 is an abundant number, since it is smaller than the sum of its proper divisors (178713171880).

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

132014330120 is a wasteful number, since it uses less digits than its factorization.

132014330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278842 (or 1278838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132014330120 its reverse (21033410231), we get a palindrome (153047740351).

The spelling of 132014330120 in words is "one hundred thirty-two billion, fourteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 89 116 145 178 232 290 356 445 580 712 890 1160 1780 2581 3560 5162 10324 12905 20648 25810 51620 103240 1278713 2557426 5114852 6393565 10229704 12787130 25574260 37082677 51148520 74165354 113805457 148330708 185413385 227610914 296661416 370826770 455221828 569027285 741653540 910443656 1138054570 1483307080 2276109140 3300358253 4552218280 6600716506 13201433012 16501791265 26402866024 33003582530 66007165060 132014330120