Search a number
-
+
132010212210120 = 233251932050992641
BaseRepresentation
bin11110000001000000000101…
…110011100011010111001000
3122022102001102122221011102100
4132001000011303203113020
5114300323403311210440
61144432353154033400
736543265056442056
oct3601000563432710
9568361378834370
10132010212210120
1139076242325692
1212980568b78860
13588768177782a
1424854850511d6
15103dd4dda1230
hex781005ce35c8

132010212210120 has 192 divisors, whose sum is σ = 431281842591600. Its totient is φ = 35018240163840.

The previous prime is 132010212210119. The next prime is 132010212210127. The reversal of 132010212210120 is 21012212010231.

132010212210120 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 2 + 1 + 221 + 0 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63177603052356 + 68832609157764 = 7948434^2 + 8296542^2 .

It is a super-2 number, since 2×1320102122101202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132010212210093 and 132010212210102.

It is not an unprimeable number, because it can be changed into a prime (132010212210127) 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 47 ways as a sum of consecutive naturals, for example, 1424919000 + ... + 1425011640.

Almost surely, 2132010212210120 is an apocalyptic number.

132010212210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010212210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215640921295800).

132010212210120 is an abundant number, since it is smaller than the sum of its proper divisors (299271630381480).

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

132010212210120 is a wasteful number, since it uses less digits than its factorization.

132010212210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113360 (or 113353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 132010212210120 its reverse (21012212010231), we get a palindrome (153022424220351).

The spelling of 132010212210120 in words is "one hundred thirty-two trillion, ten billion, two hundred twelve million, two hundred ten thousand, one hundred twenty".