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313122210023 = 7192294399367
BaseRepresentation
bin1001000111001111000…
…10011100000011100111
31002221020000200100211202
410203213202130003213
520112233241210043
6355502451353115
731423313604410
oct4434742340347
91087200610752
10313122210023
11110881362977
1250827bb279b
13236b161c41c
1411225c00807
1582297011b8
hex48e789c0e7

313122210023 has 48 divisors (see below), whose sum is σ = 399793236480. Its totient is φ = 239785261632.

The previous prime is 313122209999. The next prime is 313122210029. The reversal of 313122210023 is 320012221313.

It is not a de Polignac number, because 313122210023 - 212 = 313122205927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313122209977 and 313122210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313122210029) 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 47 ways as a sum of consecutive naturals, for example, 3101486 + ... + 3200852.

It is an arithmetic number, because the mean of its divisors is an integer number (8329025760).

Almost surely, 2313122210023 is an apocalyptic number.

313122210023 is a deficient number, since it is larger than the sum of its proper divisors (86671026457).

313122210023 is a wasteful number, since it uses less digits than its factorization.

313122210023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99484 (or 99465 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 313122210023 its reverse (320012221313), we get a palindrome (633134431336).

The spelling of 313122210023 in words is "three hundred thirteen billion, one hundred twenty-two million, two hundred ten thousand, twenty-three".

Divisors: 1 7 19 29 43 133 203 301 361 551 817 1247 2527 3857 5719 8729 10469 15523 23693 73283 99367 108661 165851 450167 695569 1887973 2881643 3151169 4272781 13215811 20171501 29909467 35871487 54751217 81182839 123910649 251100409 383258519 568279873 867374543 1040273123 1542473941 2354302331 7281911861 10797317587 16480116317 44731744289 313122210023