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12123104311 = 1731411314283
BaseRepresentation
bin10110100101001011…
…11110010000110111
31011021212202111201101
423102211332100313
5144312003314221
65322544110531
7606264454303
oct132245762067
934255674641
1012123104311
1151611a377a
122424005447
1311b2807706
14830104d03
154ae48ad91
hex2d297e437

12123104311 has 32 divisors (see below), whose sum is σ = 13680285696. Its totient is φ = 10687872000.

The previous prime is 12123104269. The next prime is 12123104347. The reversal of 12123104311 is 11340132121.

It is a cyclic number.

It is not a de Polignac number, because 12123104311 - 27 = 12123104183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123104711) 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, 2828376 + ... + 2832658.

It is an arithmetic number, because the mean of its divisors is an integer number (427508928).

Almost surely, 212123104311 is an apocalyptic number.

12123104311 is a deficient number, since it is larger than the sum of its proper divisors (1557181385).

12123104311 is a wasteful number, since it uses less digits than its factorization.

12123104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12123104311 its reverse (11340132121), we get a palindrome (23463236432).

The spelling of 12123104311 in words is "twelve billion, one hundred twenty-three million, one hundred four thousand, three hundred eleven".

Divisors: 1 17 31 41 131 527 697 1271 2227 4061 4283 5371 21607 69037 72811 91307 132773 166501 175603 561073 2257141 2830517 2985251 5443693 9538241 17393263 23003993 92542781 295685471 391067881 713123783 12123104311