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221020220031 = 313434773107359
BaseRepresentation
bin1100110111010111010…
…1001110101001111111
3210010111021112111112020
43031311311032221333
512110122134020111
6245311342211223
721653041605222
oct3156565165177
9703437474466
10221020220031
1185809174676
1236a03283b13
1317ac41935b0
14a9a9a995b9
155b38a67906
hex3375d4ea7f

221020220031 has 128 divisors (see below), whose sum is σ = 340282736640. Its totient is φ = 126689246208.

The previous prime is 221020219961. The next prime is 221020220041. The reversal of 221020220031 is 130022020122.

It is a happy number.

It is not a de Polignac number, because 221020220031 - 218 = 221019957887 is a prime.

It is a super-2 number, since 2×2210202200312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020220041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615655030 + ... + 615655388.

It is an arithmetic number, because the mean of its divisors is an integer number (2658458880).

Almost surely, 2221020220031 is an apocalyptic number.

221020220031 is a deficient number, since it is larger than the sum of its proper divisors (119262516609).

221020220031 is a wasteful number, since it uses less digits than its factorization.

221020220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221020220031 its reverse (130022020122), we get a palindrome (351042240153).

The spelling of 221020220031 in words is "two hundred twenty-one billion, twenty million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 13 39 43 47 73 107 129 141 219 321 359 559 611 949 1077 1391 1677 1833 2021 2847 3139 3431 4173 4601 4667 5029 6063 7811 9417 10293 13803 14001 15087 15437 16873 23433 26207 26273 38413 40807 44603 46311 50619 59813 65377 78621 78819 101543 115239 122421 133809 147533 179439 196131 200681 216247 219349 304629 335873 340691 367117 442599 499369 602043 648741 658047 725539 1007619 1022073 1101351 1126901 1231729 1498107 1651759 1805411 1917929 2176617 2804149 2811211 3380703 3695187 4366349 4772521 4955277 5416233 5753787 8412447 8433633 9432007 13099047 14317563 14649713 15786031 16012477 21472867 23470343 28296021 36453937 43949139 47358093 48037431 52964347 64418601 70411029 77632673 109361811 120578407 131795003 158893041 205218403 232898019 361735221 395385009 615655209 688536511 1009224749 1567519291 1713335039 2065609533 3027674247 4702557873 5140005117 5667185129 17001555387 73673406677 221020220031