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10233412033 = 1329613731193
BaseRepresentation
bin10011000011111010…
…10111100111000001
3222102011222012020111
421201331113213001
5131424223141113
64411241311321
7511410365335
oct114175274701
928364865214
1010233412033
114381548a19
121b97195541
13c711727c0
146d11617c5
153ed61713d
hex261f579c1

10233412033 has 32 divisors (see below), whose sum is σ = 11628318240. Its totient is φ = 8939427840.

The previous prime is 10233412009. The next prime is 10233412039. The reversal of 10233412033 is 33021433201.

It can be written as a sum of positive squares in 16 ways, for example, as 5768098704 + 4465313329 = 75948^2 + 66823^2 .

It is a cyclic number.

It is not a de Polignac number, because 10233412033 - 25 = 10233412001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10233411995 and 10233412013.

It is not an unprimeable number, because it can be changed into a prime (10233412039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8577285 + ... + 8578477.

It is an arithmetic number, because the mean of its divisors is an integer number (363384945).

Almost surely, 210233412033 is an apocalyptic number.

10233412033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10233412033 is a deficient number, since it is larger than the sum of its proper divisors (1394906207).

10233412033 is a wasteful number, since it uses less digits than its factorization.

10233412033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669.

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

Adding to 10233412033 its reverse (33021433201), we get a palindrome (43254845234).

The spelling of 10233412033 in words is "ten billion, two hundred thirty-three million, four hundred twelve thousand, thirty-three".

Divisors: 1 13 29 61 373 377 793 1193 1769 4849 10817 15509 22753 22997 34597 72773 140621 295789 444989 449761 659837 946049 2110417 5784857 8577881 12904681 27144329 27435421 167760853 352876277 787185541 10233412033