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10330853027561 = 1125315349104953
BaseRepresentation
bin1001011001010101011011…
…0100110010111011101001
31100120121201220120110202222
42112111112310302323221
52323230041333340221
633545532305403425
72114244111566423
oct226252664627351
940517656513688
1010330853027561
113323321233600
1211aa231939575
1359c26ccaa551
1427a031ac9813
1512dae10799ab
hex96556d32ee9

10330853027561 has 24 divisors (see below), whose sum is σ = 11570517289800. Its totient is φ = 9213794853120.

The previous prime is 10330853027543. The next prime is 10330853027567. The reversal of 10330853027561 is 16572035803301.

It can be written as a sum of positive squares in 4 ways, for example, as 730888206400 + 9599964821161 = 854920^2 + 3098381^2 .

It is not a de Polignac number, because 10330853027561 - 210 = 10330853026537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10330853027567) 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, 98380661 + ... + 98485613.

It is an arithmetic number, because the mean of its divisors is an integer number (482104887075).

Almost surely, 210330853027561 is an apocalyptic number.

10330853027561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10330853027561 is a deficient number, since it is larger than the sum of its proper divisors (1239664262239).

10330853027561 is a wasteful number, since it uses less digits than its factorization.

10330853027561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120377 (or 120366 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 10330853027561 in words is "ten trillion, three hundred thirty billion, eight hundred fifty-three million, twenty-seven thousand, five hundred sixty-one".

Divisors: 1 11 53 121 583 6413 15349 104953 168839 813497 1154483 1857229 5562509 8948467 12699313 61187599 98433137 673063589 1610923597 17720159567 85378950641 194921755237 939168457051 10330853027561