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10304326332513 = 331722020165371
BaseRepresentation
bin1001010111110010100110…
…1101011111000001100001
31100111002021012220202002000
42111330221231133001201
52322311230020120023
633525424150314213
72112314545445163
oct225745155370141
940432235822060
1010304326332513
113313049643a34
1211a506a058969
135999033961a5
14278a36a90933
1512d08c338243
hex95f29b5f061

10304326332513 has 48 divisors (see below), whose sum is σ = 16217522368320. Its totient is φ = 6465040704000.

The previous prime is 10304326332493. The next prime is 10304326332523. The reversal of 10304326332513 is 31523362340301.

10304326332513 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 3 + 2 + 633 + 2 + 5 + 13 = 666.

It is not a de Polignac number, because 10304326332513 - 213 = 10304326324321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10304326332523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157595718 + ... + 157661088.

It is an arithmetic number, because the mean of its divisors is an integer number (337865049340).

Almost surely, 210304326332513 is an apocalyptic number.

It is an amenable number.

10304326332513 is a deficient number, since it is larger than the sum of its proper divisors (5913196035807).

10304326332513 is a wasteful number, since it uses less digits than its factorization.

10304326332513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85615 (or 85592 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 10304326332513 its reverse (31523362340301), we get a palindrome (41827688672814).

The spelling of 10304326332513 in words is "ten trillion, three hundred four billion, three hundred twenty-six million, three hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 3 9 17 27 51 153 289 459 867 2601 7803 20201 60603 65371 181809 196113 343417 545427 588339 1030251 1111307 1765017 3090753 3333921 5838089 9272259 10001763 17514267 18892219 30005289 52542801 56676657 157628403 170029971 510089913 1320559571 3961678713 11885036139 22449512707 35655108417 67348538121 202045614363 381641716019 606136843089 1144925148057 3434775444171 10304326332513