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220131202131022 = 272131913169420427
BaseRepresentation
bin110010000011010101001010…
…000110110110010001001110
31001212102100002222001101121011
4302003111022012312101032
5212323112200221143042
62100102513404355434
764236645254136100
oct6203251206662116
91055370088041534
10220131202131022
1164160133881326
1220832a9a245b7a
1395aa38b506870
143c5059ac73570
151a6b1b7595a17
hexc8354a1b644e

220131202131022 has 96 divisors (see below), whose sum is σ = 438748212228480. Its totient is φ = 81871673607360.

The previous prime is 220131202131013. The next prime is 220131202131037.

220131202131022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220131202130984 and 220131202131002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31539228 + ... + 37881199.

It is an arithmetic number, because the mean of its divisors is an integer number (4570293877380).

Almost surely, 2220131202131022 is an apocalyptic number.

220131202131022 is a deficient number, since it is larger than the sum of its proper divisors (218617010097458).

220131202131022 is a wasteful number, since it uses less digits than its factorization.

220131202131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69420606 (or 69420599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 22013120 and 2131022, that added together give a palindrome (24144142).

The spelling of 220131202131022 in words is "two hundred twenty trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 7 13 14 19 26 38 49 91 98 131 133 182 247 262 266 494 637 917 931 1274 1703 1729 1834 1862 2489 3406 3458 4978 6419 11921 12103 12838 17423 23842 24206 32357 34846 64714 83447 121961 166894 226499 243922 452998 1585493 3170986 69420427 138840854 485942989 902465551 971885978 1318988113 1804931102 2637976226 3401600923 6317258857 6803201846 9094075937 9232916791 12634517714 17146845469 18188151874 18465833582 34293690938 44220811999 63658531559 64630417537 88441623998 118222987181 120027918283 127317063118 129260835074 172787442803 236445974362 240055836566 345574885606 445609720913 827560910267 840195427981 891219441826 1209512099621 1655121820534 1680390855962 2246236756439 2419024199242 4492473512878 5792926371869 8466584697347 11585852743738 15723657295073 16933169394694 31447314590146 110065601065511 220131202131022