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2001010220132 = 2272111367678941
BaseRepresentation
bin11101000111100101100…
…000001101110001100100
321002021221211202100110112
4131013211200031301210
5230241032104021012
64131130145312152
7264365620143200
oct35074540156144
97067854670415
102001010220132
11701695115160
12283986335658
1311690493c371
146cbc6adbb00
15370b6a2c122
hex1d1e580dc64

2001010220132 has 72 divisors (see below), whose sum is σ = 4447059236928. Its totient is φ = 779042913600.

The previous prime is 2001010220117. The next prime is 2001010220171. The reversal of 2001010220132 is 2310220101002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2607782 + ... + 3286722.

It is an arithmetic number, because the mean of its divisors is an integer number (61764711624).

Almost surely, 22001010220132 is an apocalyptic number.

2001010220132 is a gapful number since it is divisible by the number (22) 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 2001010220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223529618464).

2001010220132 is an abundant number, since it is smaller than the sum of its proper divisors (2446049016796).

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

2001010220132 is a wasteful number, since it uses less digits than its factorization.

2001010220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680337 (or 680328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2001010220132 its reverse (2310220101002), we get a palindrome (4311230321134).

The spelling of 2001010220132 in words is "two trillion, one billion, ten million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1367 2156 2734 5468 9569 15037 19138 30074 38276 60148 66983 105259 133966 210518 267932 421036 678941 736813 1357882 1473626 2715764 2947252 4752587 7468351 9505174 14936702 19010348 29873404 33268109 52278457 66536218 104556914 133072436 209113828 365949199 731898398 928112347 1463796796 1856224694 3712449388 6496786429 10209235817 12993572858 20418471634 25987145716 40836943268 45477505003 71464650719 90955010006 142929301438 181910020012 285858602876 500252555033 1000505110066 2001010220132