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1233103130 = 25723537129
BaseRepresentation
bin100100101111111…
…1010100100011010
310011221022010111022
41021133322210122
510011133300010
6322205402442
742362126600
oct11137724432
93157263438
101233103130
115830666a6
122a4b69422
13168614a2c
14b9aa9870
15733c8d55
hex497fa91a

1233103130 has 48 divisors (see below), whose sum is σ = 2589644520. Its totient is φ = 421521408.

The previous prime is 1233103129. The next prime is 1233103133. The reversal of 1233103130 is 313013321.

It can be written as a sum of positive squares in 4 ways, for example, as 1005968089 + 227135041 = 31717^2 + 15071^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1233103099 and 1233103108.

It is not an unprimeable number, because it can be changed into a prime (1233103133) 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 23 ways as a sum of consecutive naturals, for example, 169406 + ... + 176534.

Almost surely, 21233103130 is an apocalyptic number.

1233103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1233103130 is an abundant number, since it is smaller than the sum of its proper divisors (1356541390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1233103130 is a wasteful number, since it uses less digits than its factorization.

1233103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7503 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1233103130 is about 35115.5681998740. The cubic root of 1233103130 is about 1072.3415486688.

Adding to 1233103130 its reverse (313013321), we get a palindrome (1546116451).

The spelling of 1233103130 in words is "one billion, two hundred thirty-three million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 353 490 706 1765 2471 3530 4942 7129 12355 14258 17297 24710 34594 35645 49903 71290 86485 99806 172970 249515 349321 499030 698642 1746605 2516537 3493210 5033074 12582685 17615759 25165370 35231518 88078795 123310313 176157590 246620626 616551565 1233103130