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1033010320113 = 32972574604233
BaseRepresentation
bin11110000100001000011…
…01101001001011110001
310122202101021011102201200
433002010031221023301
5113411101120220423
62110320340121413
7134426646562242
oct17020415511361
93582337142650
101033010320113
11369108438a92
12148255096269
1376549219635
1437dd85c2cc9
151bd0e7c1d43
hexf0843692f1

1033010320113 has 24 divisors (see below), whose sum is σ = 1513374881928. Its totient is φ = 678921633792.

The previous prime is 1033010320073. The next prime is 1033010320129. The reversal of 1033010320113 is 3110230103301.

It is a happy number.

1033010320113 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 0 + 320 + 1 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 359007085584 + 674003234529 = 599172^2 + 820977^2 .

It is not a de Polignac number, because 1033010320113 - 26 = 1033010320049 is a prime.

It is a super-2 number, since 2×10330103201132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033010330113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2077756 + ... + 2526477.

It is an arithmetic number, because the mean of its divisors is an integer number (63057286747).

Almost surely, 21033010320113 is an apocalyptic number.

It is an amenable number.

1033010320113 is a deficient number, since it is larger than the sum of its proper divisors (480364561815).

1033010320113 is a wasteful number, since it uses less digits than its factorization.

1033010320113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604593 (or 4604590 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1033010320113 its reverse (3110230103301), we get a palindrome (4143240423414).

The spelling of 1033010320113 in words is "one trillion, thirty-three billion, ten million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 97 257 291 771 873 2313 24929 74787 224361 4604233 13812699 41438097 446610601 1183287881 1339831803 3549863643 4019495409 10649590929 114778924457 344336773371 1033010320113