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12272821033 = 1121753112573
BaseRepresentation
bin10110110111000010…
…00110001100101001
31011200022110220110011
423123201012030221
5200113320233113
65345453051521
7613063154224
oct133341061451
934608426404
1012272821033
115228762100
122466186ba1
1312078376a5
14845d585bb
154bc6b163d
hex2db846329

12272821033 has 24 divisors (see below), whose sum is σ = 14553116424. Its totient is φ = 10302589440.

The previous prime is 12272821027. The next prime is 12272821037. The reversal of 12272821033 is 33012827221.

It can be written as a sum of positive squares in 4 ways, for example, as 5371863849 + 6900957184 = 73293^2 + 83072^2 .

It is not a de Polignac number, because 12272821033 - 213 = 12272812841 is a prime.

It is a super-2 number, since 2×122728210332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12272820986 and 12272821004.

It is not an unprimeable number, because it can be changed into a prime (12272821037) 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, 52735 + ... + 165307.

It is an arithmetic number, because the mean of its divisors is an integer number (606379851).

Almost surely, 212272821033 is an apocalyptic number.

It is an amenable number.

12272821033 is a deficient number, since it is larger than the sum of its proper divisors (2280295391).

12272821033 is a wasteful number, since it uses less digits than its factorization.

12272821033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112665 (or 112654 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 12272821033 in words is "twelve billion, two hundred seventy-two million, eight hundred twenty-one thousand, thirty-three".

Divisors: 1 11 17 53 121 187 583 901 2057 6413 9911 109021 112573 1238303 1913741 5966369 13621333 21051151 65630059 101428273 231562661 721930649 1115711003 12272821033