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1003313230131 = 34361193166029
BaseRepresentation
bin11101001100110100010…
…00001111000100110011
310112220201121211221210010
432212122020033010303
5112414241141331011
62044525444310003
7132326015513052
oct16463210170463
93486647757703
101003313230131
11357559186813
121425476a2303
13737c5830a44
14367bc4a8399
151b17257e1a6
hexe99a20f133

1003313230131 has 32 divisors (see below), whose sum is σ = 1392043403520. Its totient is φ = 642267561600.

The previous prime is 1003313230079. The next prime is 1003313230133. The reversal of 1003313230131 is 1310323133001.

It is not a de Polignac number, because 1003313230131 - 29 = 1003313229619 is a prime.

It is a super-2 number, since 2×10033132301312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003313230098 and 1003313230107.

It is not an unprimeable number, because it can be changed into a prime (1003313230133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15162025 + ... + 15228053.

It is an arithmetic number, because the mean of its divisors is an integer number (43501356360).

Almost surely, 21003313230131 is an apocalyptic number.

1003313230131 is a deficient number, since it is larger than the sum of its proper divisors (388730173389).

1003313230131 is a wasteful number, since it uses less digits than its factorization.

1003313230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68067.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1003313230131 its reverse (1310323133001), we get a palindrome (2313636363132).

The spelling of 1003313230131 in words is "one trillion, three billion, three hundred thirteen million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 43 61 129 183 1931 2623 5793 7869 66029 83033 117791 198087 249099 353373 2839247 4027769 5065013 8517741 12083307 15195039 127501999 173194067 382505997 519582201 5482585957 7777621939 16447757871 23332865817 334437743377 1003313230131