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313233021222 = 231159157151203
BaseRepresentation
bin1001000111011100010…
…01001001100100100110
31002221111202012011020020
410203232021021210212
520113000123134342
6355521450420010
731426130515212
oct4435611114446
91087452164206
10313233021222
11110928968a80
1250859131606
13236cb579a94
1411236807942
1582342de0ec
hex48ee249926

313233021222 has 64 divisors (see below), whose sum is σ = 695456824320. Its totient is φ = 93249082400.

The previous prime is 313233021193. The next prime is 313233021239. The reversal of 313233021222 is 222120332313.

It is a super-2 number, since 2×3132330212222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313233021192 and 313233021201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6091873 + ... + 6143075.

It is an arithmetic number, because the mean of its divisors is an integer number (10866512880).

Almost surely, 2313233021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313233021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347728412160).

313233021222 is an abundant number, since it is smaller than the sum of its proper divisors (382223803098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313233021222 is a wasteful number, since it uses less digits than its factorization.

313233021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52849.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 313233021222 its reverse (222120332313), we get a palindrome (535353353535).

The spelling of 313233021222 in words is "three hundred thirteen billion, two hundred thirty-three million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 649 1298 1571 1947 3142 3894 4713 9426 17281 34562 51203 51843 92689 102406 103686 153609 185378 278067 307218 556134 563233 1019579 1126466 1689699 2039158 3020977 3058737 3379398 6041954 6117474 9062931 18125862 33230747 66461494 80439913 99692241 160879826 199384482 241319739 482639478 884839043 1769678086 2654517129 4745954867 5309034258 9491909734 14237864601 28475729202 52205503537 104411007074 156616510611 313233021222