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31222022022213 = 311210115140913789
BaseRepresentation
bin1110001100101011100011…
…00010000010010001000101
311002112210111101201111201220
413012111301202002101011
513043020200114202323
6150223110544110553
76401500545241521
oct706256142022105
9132483441644656
1031222022022213
119a48204525400
123603054005459
1314562bb2b9919
1479d222548d81
15392252ee30e3
hex1c6571882445

31222022022213 has 96 divisors (see below), whose sum is σ = 46634090899200. Its totient is φ = 18564163200000.

The previous prime is 31222022022193. The next prime is 31222022022251.

31222022022213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31222022022213 - 217 = 31222021891141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222022022013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2264263323 + ... + 2264277111.

It is an arithmetic number, because the mean of its divisors is an integer number (485771780200).

Almost surely, 231222022022213 is an apocalyptic number.

31222022022213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31222022022213 is a deficient number, since it is larger than the sum of its proper divisors (15412068876987).

31222022022213 is a wasteful number, since it uses less digits than its factorization.

31222022022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 3122202 and 2022213, that added together give a palindrome (5144415).

The spelling of 31222022022213 in words is "thirty-one trillion, two hundred twenty-two billion, twenty-two million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 11 33 101 121 151 303 363 409 453 1111 1227 1661 3333 4499 4983 12221 13497 13789 15251 18271 36663 41309 41367 45753 49489 54813 61759 123927 148467 151679 167761 185277 454399 455037 503283 679349 1363197 1392689 1668469 1845371 2038047 2082139 4178067 4998389 5005407 5536113 5639701 6237659 6246417 7472839 14995167 15319579 16919103 18712977 22418517 22903529 45958737 62036711 68614249 68710587 168515369 186110133 205842747 210296039 251938819 505546107 569609801 630888117 682403821 754756739 755816457 851594851 1708829403 2047211463 2264270217 2313256429 2554784553 6265707811 6939769287 9367543361 18797123433 25445820719 28102630083 68922785921 76337462157 86011079951 103042976971 206768357763 258033239853 309128930913 946121879461 2838365638383 10407340674071 31222022022213