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31233300012123 = 3111935578804231
BaseRepresentation
bin1110001101000000100011…
…10000001001110001011011
311002120212121101020202102220
413012200101300021301123
513043211244300341443
6150232214022355123
76402350201463546
oct706402160116133
9132525541222386
1031233300012123
119a51a71674120
123605280b8baa3
1314573979a6a31
1479d9b22dd85d
153926b3194a83
hex1c6811c09c5b

31233300012123 has 32 divisors (see below), whose sum is σ = 45747634678272. Its totient is φ = 18797383219200.

The previous prime is 31233300012077. The next prime is 31233300012139. The reversal of 31233300012123 is 32121000333213.

It is not a de Polignac number, because 31233300012123 - 217 = 31233299881051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31233300012093 and 31233300012102.

It is not an unprimeable number, because it can be changed into a prime (31233300012143) 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, 854583 + ... + 7949648.

It is an arithmetic number, because the mean of its divisors is an integer number (1429613583696).

Almost surely, 231233300012123 is an apocalyptic number.

31233300012123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

31233300012123 is a deficient number, since it is larger than the sum of its proper divisors (14514334666149).

31233300012123 is a wasteful number, since it uses less digits than its factorization.

31233300012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804995.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31233300012123 its reverse (32121000333213), we get a palindrome (63354300345336).

The spelling of 31233300012123 in words is "thirty-one trillion, two hundred thirty-three billion, three hundred million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 11 33 193 557 579 1671 2123 6127 6369 18381 107501 322503 1182511 3547533 8804231 26412693 96846541 290539623 1699216583 4903956667 5097649749 14711870001 18691382413 53943523337 56074147239 161830570011 946463636731 2839390910193 10411100004041 31233300012123