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10003233233 = 722931435281
BaseRepresentation
bin10010101000011110…
…10011100111010001
3221211010211220021202
421110033103213101
5130441311430413
64332340000545
7502614036200
oct112417234721
927733756252
1010003233233
114273623204
121b32090155
13c35580026
146ac765237
153d82eae58
hex2543d39d1

10003233233 has 48 divisors (see below), whose sum is σ = 12717365760. Its totient is φ = 7823692800.

The previous prime is 10003233223. The next prime is 10003233271. The reversal of 10003233233 is 33233230001.

10003233233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003233233 - 210 = 10003232209 is a prime.

It is a super-2 number, since 2×100032332332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003233223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891553 + ... + 1896833.

It is an arithmetic number, because the mean of its divisors is an integer number (264945120).

Almost surely, 210003233233 is an apocalyptic number.

It is an amenable number.

10003233233 is a deficient number, since it is larger than the sum of its proper divisors (2714132527).

10003233233 is a wasteful number, since it uses less digits than its factorization.

10003233233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 10003233233 its reverse (33233230001), we get a palindrome (43236463234).

The spelling of 10003233233 in words is "ten billion, three million, two hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 7 29 31 43 49 203 217 301 899 1247 1333 1421 1519 2107 5281 6293 8729 9331 36967 38657 44051 61103 65317 153149 163711 227083 258769 270599 1072043 1145977 1589581 1894193 4747619 6585407 7039573 7504301 8021839 11127067 33233333 46097849 49277011 204147617 232633331 322684943 344939077 1429033319 10003233233