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34010023333 = 1121321621121
BaseRepresentation
bin11111101011001001…
…111100010110100101
310020210012212012020211
4133223021330112211
51024123031221313
623342440455421
72312541266656
oct375311742645
9106705765224
1034010023333
1113472853a00
126711a7a571
1332900b5b80
141908c4b52d
15d40bcde3d
hex7eb27c5a5

34010023333 has 12 divisors (see below), whose sum is σ = 40258529164. Its totient is φ = 28539878400.

The previous prime is 34010023291. The next prime is 34010023379. The reversal of 34010023333 is 33332001043.

It can be written as a sum of positive squares in 2 ways, for example, as 12143599204 + 21866424129 = 110198^2 + 147873^2 .

It is not a de Polignac number, because 34010023333 - 29 = 34010022821 is a prime.

It is a super-2 number, since 2×340100233332 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010020333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10808988 + ... + 10812133.

Almost surely, 234010023333 is an apocalyptic number.

It is an amenable number.

34010023333 is a deficient number, since it is larger than the sum of its proper divisors (6248505831).

34010023333 is a wasteful number, since it uses less digits than its factorization.

34010023333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21621156 (or 21621145 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 34010023333 its reverse (33332001043), we get a palindrome (67342024376).

The spelling of 34010023333 in words is "thirty-four billion, ten million, twenty-three thousand, three hundred thirty-three".

Divisors: 1 11 13 121 143 1573 21621121 237832331 281074573 2616155641 3091820303 34010023333