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12300211220231 = 1167601165716759
BaseRepresentation
bin1011001011111101110110…
…1110000110111100000111
31121112212222212110020020002
42302333131232012330013
53103011313033021411
642054350010231515
72406442462203314
oct262773556067407
947485885406202
1012300211220231
113a12543627a80
121467a43a2559b
136b2b9c20387c
14307494bc3d0b
15164e53e0333b
hexb2fddb86f07

12300211220231 has 32 divisors (see below), whose sum is σ = 13650394114560. Its totient is φ = 10989494208000.

The previous prime is 12300211220201. The next prime is 12300211220237. The reversal of 12300211220231 is 13202211200321.

It is a de Polignac number, because none of the positive numbers 2k-12300211220231 is a prime.

It is a super-2 number, since 2×123002112202312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300211220237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733938230 + ... + 733954988.

It is an arithmetic number, because the mean of its divisors is an integer number (426574816080).

Almost surely, 212300211220231 is an apocalyptic number.

12300211220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12300211220231 is a deficient number, since it is larger than the sum of its proper divisors (1350182894329).

12300211220231 is a wasteful number, since it uses less digits than its factorization.

12300211220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19095.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12300211220231 its reverse (13202211200321), we get a palindrome (25502422420552).

The spelling of 12300211220231 in words is "twelve trillion, three hundred billion, two hundred eleven million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 11 67 601 737 1657 6611 16759 18227 40267 111019 184349 442937 995857 1122853 1221209 10072159 10954427 12351383 27769663 66722419 110793749 305466293 674834653 733946609 1860567421 7423181183 16689567463 20466241631 183585242093 1118201020021 12300211220231