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21132332023 = 1142116972689
BaseRepresentation
bin10011101011100101…
…011100101111110111
32000112202012200202211
4103223211130233313
5321234334111043
613412535114251
71345451600305
oct235345345767
960482180684
1021132332023
118a64717910
124119212987
131cba168b9a
14104683d275
1583a38ba9d
hex4eb95cbf7

21132332023 has 16 divisors (see below), whose sum is σ = 23130427680. Its totient is φ = 19147161600.

The previous prime is 21132332017. The next prime is 21132332071. The reversal of 21132332023 is 32023323112.

It is a cyclic number.

It is not a de Polignac number, because 21132332023 - 25 = 21132331991 is a prime.

It is a super-3 number, since 3×211323320233 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21132331985 and 21132332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132332723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7857463 + ... + 7860151.

It is an arithmetic number, because the mean of its divisors is an integer number (1445651730).

Almost surely, 221132332023 is an apocalyptic number.

21132332023 is a deficient number, since it is larger than the sum of its proper divisors (1998095657).

21132332023 is a wasteful number, since it uses less digits than its factorization.

21132332023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818.

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

Adding to 21132332023 its reverse (32023323112), we get a palindrome (53155655135).

The spelling of 21132332023 in words is "twenty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, twenty-three".

Divisors: 1 11 421 1697 2689 4631 18667 29579 714437 1132069 4563233 7858807 12452759 50195563 1921121093 21132332023