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312321112103 = 72111344572729
BaseRepresentation
bin1001000101101111100…
…10011111100000100111
31002212011012021101002102
410202313302133200213
520104113201041403
6355251153202315
731364415436100
oct4426762374047
91085135241072
10312321112103
11110500142180
125064386039b
13235b46738a0
141118b66b3a7
1581ce20db88
hex48b7c9f827

312321112103 has 24 divisors (see below), whose sum is σ = 426828462480. Its totient is φ = 224646549120.

The previous prime is 312321112099. The next prime is 312321112123. The reversal of 312321112103 is 301211123213.

It is a happy number.

It is not a de Polignac number, because 312321112103 - 22 = 312321112099 is a prime.

It is a super-3 number, since 3×3123211121033 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321112123) 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, 22279358 + ... + 22293371.

It is an arithmetic number, because the mean of its divisors is an integer number (17784519270).

Almost surely, 2312321112103 is an apocalyptic number.

312321112103 is a deficient number, since it is larger than the sum of its proper divisors (114507350377).

312321112103 is a wasteful number, since it uses less digits than its factorization.

312321112103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44572767 (or 44572760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312321112103 its reverse (301211123213), we get a palindrome (613532235316).

It can be divided in two parts, 312321 and 112103, that added together give a palindrome (424424).

The spelling of 312321112103 in words is "three hundred twelve billion, three hundred twenty-one million, one hundred twelve thousand, one hundred three".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 44572729 312009103 490300019 579445477 2184063721 3432100133 4056118339 6373900247 24024700931 28392828373 44617301729 312321112103