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312312021011223 = 3712579416062983
BaseRepresentation
bin100011100000010111100111…
…1000100100100101100010111
31111221210201220201121100201120
41013000233033010210230113
5311413410004334324343
63024122054535255023
7122532541011362052
oct10700571704445427
91457721821540646
10312312021011223
119056a8699a3242
122b0401b3b1a473
1310535b8823359c
145719da7c83a99
152618e4445e683
hex11c0bcf124b17

312312021011223 has 32 divisors (see below), whose sum is σ = 424374733274112. Its totient is φ = 204259438387200.

The previous prime is 312312021011203. The next prime is 312312021011369. The reversal of 312312021011223 is 322110120213213.

It is not a de Polignac number, because 312312021011223 - 233 = 312303431076631 is a prime.

It is a super-2 number, since 2×3123120210112232 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312312021011193 and 312312021011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312021011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48479790 + ... + 54542772.

It is an arithmetic number, because the mean of its divisors is an integer number (13261710414816).

Almost surely, 2312312021011223 is an apocalyptic number.

312312021011223 is a deficient number, since it is larger than the sum of its proper divisors (112062712262889).

312312021011223 is a wasteful number, since it uses less digits than its factorization.

312312021011223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064255.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312312021011223 its reverse (322110120213213), we get a palindrome (634422141224436).

The spelling of 312312021011223 in words is "three hundred twelve trillion, three hundred twelve billion, twenty-one million, eleven thousand, two hundred twenty-three".

Divisors: 1 3 71 213 257 771 941 2823 18247 54741 66811 200433 241837 725511 6062983 17170427 18188949 51511281 430471793 1291415379 1558186631 4674559893 5705267003 17115801009 110631250801 331893752403 405073957213 1215221871639 1466253619771 4398760859313 104104007003741 312312021011223