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132333221020 = 225731113277487
BaseRepresentation
bin111101100111110101…
…1001011010010011100
3110122120112022011011011
41323033223023102130
54132004301033040
6140443144105004
712363224551000
oct1731753132234
9418515264134
10132333221020
1151138720670
1221792165164
13c62c3abaa0
146595304700
153697ae83ea
hex1ecfacb49c

132333221020 has 384 divisors, whose sum is σ = 382898073600. Its totient is φ = 37858544640.

The previous prime is 132333220961. The next prime is 132333221029. The reversal of 132333221020 is 20122333231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 132333220982 and 132333221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333221029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271731217 + ... + 271731703.

It is an arithmetic number, because the mean of its divisors is an integer number (997130400).

Almost surely, 2132333221020 is an apocalyptic number.

132333221020 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 132333221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191449036800).

132333221020 is an abundant number, since it is smaller than the sum of its proper divisors (250564852580).

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

132333221020 is a wasteful number, since it uses less digits than its factorization.

132333221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 132333221020 its reverse (20122333231), we get a palindrome (152455554251).

It can be divided in two parts, 132333 and 221020, that added together give a palindrome (353353).

The spelling of 132333221020 in words is "one hundred thirty-two billion, three hundred thirty-three million, two hundred twenty-one thousand, twenty".