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132020300010020 = 22527253242212417
BaseRepresentation
bin11110000001001001011111…
…000101011101001000100100
3122022110000110200220111100212
4132001021133011131020210
5114301010033300310040
61144441142154354552
736544103051354312
oct3601113705351044
9568400420814325
10132020300010020
113907a549658aa4
121298250342ba58
1358885cb6c66b6
142485b60b0b0b2
15103e23e803d65
hex78125f15d224

132020300010020 has 24 divisors (see below), whose sum is σ = 277252804087224. Its totient is φ = 52806182086656.

The previous prime is 132020300009971. The next prime is 132020300010043. The reversal of 132020300010020 is 20010003020231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94539030784 + 131925760979236 = 307472^2 + 11485894^2 .

It is a super-2 number, since 2×1320203000100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132020300009977 and 132020300010004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120561149 + ... + 121651268.

It is an arithmetic number, because the mean of its divisors is an integer number (11552200170301).

Almost surely, 2132020300010020 is an apocalyptic number.

132020300010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132020300010020 is an abundant number, since it is smaller than the sum of its proper divisors (145232504077204).

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

132020300010020 is a wasteful number, since it uses less digits than its factorization.

132020300010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242239679 (or 242239677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 132020300010020 its reverse (20010003020231), we get a palindrome (152030303030251).

The spelling of 132020300010020 in words is "one hundred thirty-two trillion, twenty billion, three hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 27253 54506 109012 136265 272530 545060 242212417 484424834 968849668 1211062085 2422124170 4844248340 6601015000501 13202030001002 26404060002004 33005075002505 66010150005010 132020300010020