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2123013103232 = 27716271456321
BaseRepresentation
bin11110111001001101011…
…100010001111010000000
321111221212102200222001112
4132321031130101322000
5234240412323300412
64303144310422452
7306245146426010
oct36711534217200
97457772628045
102123013103232
11749401605a6a
122a3554961a28
13125278a70158
1474a7c04dc40
153a357764722
hex1ee4d711e80

2123013103232 has 64 divisors (see below), whose sum is σ = 4836620120640. Its totient is φ = 909302906880.

The previous prime is 2123013103157. The next prime is 2123013103247. The reversal of 2123013103232 is 2323013103212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2123013103198 and 2123013103207.

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, 729632 + ... + 2185952.

It is an arithmetic number, because the mean of its divisors is an integer number (75572189385).

Almost surely, 22123013103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123013103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418310060320).

2123013103232 is an abundant number, since it is smaller than the sum of its proper divisors (2713607017408).

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

2123013103232 is a wasteful number, since it uses less digits than its factorization.

2123013103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457969 (or 1457957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2123013103232 its reverse (2323013103212), we get a palindrome (4446026206444).

The spelling of 2123013103232 in words is "two trillion, one hundred twenty-three billion, thirteen million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1627 3254 6508 11389 13016 22778 26032 45556 52064 91112 104128 182224 208256 364448 728896 1456321 1457792 2912642 5825284 10194247 11650568 20388494 23301136 40776988 46602272 81553976 93204544 163107952 186409088 326215904 652431808 1304863616 2369434267 4738868534 9477737068 16586039869 18955474136 33172079738 37910948272 66344159476 75821896544 132688318952 151643793088 265376637904 303287586176 530753275808 1061506551616 2123013103232