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1233114025 = 521121331357
BaseRepresentation
bin100100101111111…
…1101001110101001
310011221022200102211
41021133331032221
510011134122100
6322205525121
742362203423
oct11137751651
93157280384
101233114025
11583073900
122a4b737a1
13168619990
14b9aad813
15733cc1ba
hex497fd3a9

1233114025 has 36 divisors (see below), whose sum is σ = 1810046476. Its totient is φ = 827798400.

The previous prime is 1233113951. The next prime is 1233114031. The reversal of 1233114025 is 5204113321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52229529 + 1180884496 = 7227^2 + 34364^2 .

It is not a de Polignac number, because 1233114025 - 221 = 1231016873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1233113987 and 1233114005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23647 + ... + 55003.

Almost surely, 21233114025 is an apocalyptic number.

It is an amenable number.

1233114025 is a deficient number, since it is larger than the sum of its proper divisors (576932451).

1233114025 is a wasteful number, since it uses less digits than its factorization.

1233114025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31402 (or 31386 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1233114025 is about 35115.7233301551. The cubic root of 1233114025 is about 1072.3447068601.

Adding to 1233114025 its reverse (5204113321), we get a palindrome (6437227346).

The spelling of 1233114025 in words is "one billion, two hundred thirty-three million, one hundred fourteen thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 275 325 605 715 1573 3025 3575 7865 31357 39325 156785 344927 407641 783925 1724635 2038205 3794197 4484051 8623175 10191025 18970985 22420255 49324561 94854925 112101275 246622805 1233114025