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2023212102032 = 241178509146423
BaseRepresentation
bin11101011100010000110…
…101101011000110010000
321011102021010111210211202
4131130100311223012100
5231122014244231112
64145241212530332
7266113040054642
oct35342065530620
97142233453752
102023212102032
11710048539690
122881417809a8
13118a325570a4
146dcd15d0892
1537965c376c2
hex1d710d6b190

2023212102032 has 40 divisors (see below), whose sum is σ = 4276418345280. Its totient is φ = 919623870080.

The previous prime is 2023212102017. The next prime is 2023212102073. The reversal of 2023212102032 is 2302012123202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2023212101995 and 2023212102013.

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 7 ways as a sum of consecutive naturals, for example, 13744373 + ... + 13890795.

It is an arithmetic number, because the mean of its divisors is an integer number (106910458632).

Almost surely, 22023212102032 is an apocalyptic number.

2023212102032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2023212102032 is an abundant number, since it is smaller than the sum of its proper divisors (2253206243248).

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

2023212102032 is a wasteful number, since it uses less digits than its factorization.

2023212102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224951 (or 224945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2023212102032 its reverse (2302012123202), we get a palindrome (4325224225234).

The spelling of 2023212102032 in words is "two trillion, twenty-three billion, two hundred twelve million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 78509 146423 157018 292846 314036 585692 628072 863599 1171384 1256144 1610653 1727198 2342768 3221306 3454396 6442612 6908792 12885224 13817584 25770448 11495523307 22991046614 45982093228 91964186456 126450756377 183928372912 252901512754 505803025508 1011606051016 2023212102032