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132020211001000 = 2353729882173727
BaseRepresentation
bin11110000001001001011001…
…110001111010011010101000
3122022110000020111102100221111
4132001021121301322122220
5114301004343004013000
61144441125254520104
736544100620656640
oct3601113161723250
9568400214370844
10132020211001000
113907a503394223
1212982499666034
1358885b613083a
142485b52d7b520
15103e236ac0cba
hex781259c7a6a8

132020211001000 has 256 divisors, whose sum is σ = 365280598425600. Its totient is φ = 43697695104000.

The previous prime is 132020211000989. The next prime is 132020211001001. The reversal of 132020211001000 is 100112020231.

It is a super-2 number, since 2×1320202110010002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132020211001001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1790626137 + ... + 1790699863.

It is an arithmetic number, because the mean of its divisors is an integer number (1426877337600).

Almost surely, 2132020211001000 is an apocalyptic number.

132020211001000 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 132020211001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182640299212800).

132020211001000 is an abundant number, since it is smaller than the sum of its proper divisors (233260387424600).

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

132020211001000 is a wasteful number, since it uses less digits than its factorization.

132020211001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82605 (or 82591 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 132020211001000 its reverse (100112020231), we get a palindrome (132120323021231).

The spelling of 132020211001000 in words is "one hundred thirty-two trillion, twenty billion, two hundred eleven million, one thousand".