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132311231120 = 24511231472743
BaseRepresentation
bin111101100111001011…
…1010010101010010000
3110122111222220221200102
41323032113102222100
54131433133343440
6140441040511532
712362536623335
oct1731627225220
9418458827612
10132311231120
11511272712a2
122178691b5a8
13c62797ca03
14659241c98c
153695c02b15
hex1ece5d2a90

132311231120 has 40 divisors (see below), whose sum is σ = 307897751616. Its totient is φ = 52877328768.

The previous prime is 132311231071. The next prime is 132311231123. The reversal of 132311231120 is 21132113231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 132311231092 and 132311231101.

It is not an unprimeable number, because it can be changed into a prime (132311231123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646532 + ... + 826211.

Almost surely, 2132311231120 is an apocalyptic number.

132311231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132311231120 is an abundant number, since it is smaller than the sum of its proper divisors (175586520496).

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

132311231120 is a wasteful number, since it uses less digits than its factorization.

132311231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473879 (or 1473873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132311231120 its reverse (21132113231), we get a palindrome (153443344351).

The spelling of 132311231120 in words is "one hundred thirty-two billion, three hundred eleven million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1123 2246 4492 5615 8984 11230 17968 22460 44920 89840 1472743 2945486 5890972 7363715 11781944 14727430 23563888 29454860 58909720 117819440 1653890389 3307780778 6615561556 8269451945 13231123112 16538903890 26462246224 33077807780 66155615560 132311231120