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2123838431 = 111340936313
BaseRepresentation
bin111111010010111…
…0011001111011111
312111000101011121122
41332211303033133
513322200312211
6550425121155
7103426220531
oct17645631737
95430334548
102123838431
1199a940280
124b33291bb
1327b016440
141620d3851
15c66c56db
hex7e9733df

2123838431 has 16 divisors (see below), whose sum is σ = 2501308320. Its totient is φ = 1777835520.

The previous prime is 2123838391. The next prime is 2123838433. The reversal of 2123838431 is 1348383212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123838431 is a prime.

It is a super-2 number, since 2×21238384312 = 9021379361985083522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2123838391 and 2123838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123838433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40331 + ... + 76643.

It is an arithmetic number, because the mean of its divisors is an integer number (156331770).

Almost surely, 22123838431 is an apocalyptic number.

2123838431 is a deficient number, since it is larger than the sum of its proper divisors (377469889).

2123838431 is a wasteful number, since it uses less digits than its factorization.

2123838431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36746.

The product of its digits is 27648, while the sum is 35.

The square root of 2123838431 is about 46085.1215795293. The cubic root of 2123838431 is about 1285.4065000074.

The spelling of 2123838431 in words is "two billion, one hundred twenty-three million, eight hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 11 13 143 409 4499 5317 36313 58487 399443 472069 5192759 14852017 163372187 193076221 2123838431