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132014312031 = 3723467585271
BaseRepresentation
bin111101011110010101…
…0101000101001011111
3110121202022012220021010
41322330222220221133
54130331130441111
6140351352510303
712352303065120
oct1727452505137
9417668186233
10132014312031
1150a94701618
12217033ab393
13c5ab2c0344
146564c0c047
153679b01aa6
hex1ebcaa8a5f

132014312031 has 32 divisors (see below), whose sum is σ = 210360803328. Its totient is φ = 72002256480.

The previous prime is 132014311999. The next prime is 132014312063. The reversal of 132014312031 is 130213410231.

It is an interprime number because it is at equal distance from previous prime (132014311999) and next prime (132014312063).

It is not a de Polignac number, because 132014312031 - 25 = 132014311999 is a prime.

It is a super-2 number, since 2×1320143120312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132014311989 and 132014312007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132014312431) 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, 67075 + ... + 518196.

It is an arithmetic number, because the mean of its divisors is an integer number (6573775104).

Almost surely, 2132014312031 is an apocalyptic number.

132014312031 is a deficient number, since it is larger than the sum of its proper divisors (78346491297).

132014312031 is a wasteful number, since it uses less digits than its factorization.

132014312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585771.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132014312031 its reverse (130213410231), we get a palindrome (262227722262).

The spelling of 132014312031 in words is "one hundred thirty-two billion, fourteen million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 23 69 161 467 483 1401 3269 9807 10741 32223 75187 225561 585271 1755813 4096897 12290691 13461233 40383699 94228631 273321557 282685893 819964671 1913250899 5739752697 6286395811 18859187433 44004770677 132014312031