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221002031323110 = 235232293011346447
BaseRepresentation
bin110010010000000000001011…
…100100100101011111100110
31001222111120212112210220011110
4302100000023210211133212
5212431344130004314420
62102010533120245450
764356604234136322
oct6220001344453746
91058446775726143
10221002031323110
1164466487197404
1220953811170886
13964152c631a8b
143c807abdb8982
151a83b83b89ee0
hexc9000b9257e6

221002031323110 has 128 divisors (see below), whose sum is σ = 555913267015680. Its totient is φ = 56122296569856.

The previous prime is 221002031323079. The next prime is 221002031323141. The reversal of 221002031323110 is 11323130200122.

It is an interprime number because it is at equal distance from previous prime (221002031323079) and next prime (221002031323141).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4758131907 + ... + 4758178353.

It is an arithmetic number, because the mean of its divisors is an integer number (4343072398560).

Almost surely, 2221002031323110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002031323110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277956633507840).

221002031323110 is an abundant number, since it is smaller than the sum of its proper divisors (334911235692570).

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

221002031323110 is a wasteful number, since it uses less digits than its factorization.

221002031323110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76822.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221002031323110 its reverse (11323130200122), we get a palindrome (232325161523232).

The spelling of 221002031323110 in words is "two hundred twenty-one trillion, two billion, thirty-one million, three hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 229 230 345 458 687 690 1145 1374 2290 3435 5267 6870 10534 15801 26335 30113 31602 46447 52670 60226 79005 90339 92894 139341 150565 158010 180678 232235 278682 301130 451695 464470 692599 696705 903390 1068281 1385198 1393410 2077797 2136562 3204843 3462995 4155594 5341405 6409686 6895877 6925990 10388985 10636363 10682810 13791754 16024215 20687631 20777970 21272726 31909089 32048430 34479385 41375262 53181815 63818178 68958770 103438155 106363630 158605171 159545445 206876310 244636349 317210342 319090890 475815513 489272698 733909047 793025855 951631026 1223181745 1398658511 1467818094 1586051710 2379077565 2446363490 2797317022 3669545235 4195975533 4758155130 6993292555 7339090470 8391951066 13986585110 20979877665 32169145753 41959755330 64338291506 96507437259 160845728765 193014874518 320292799019 321691457530 482537186295 640585598038 960878397057 965074372590 1601463995095 1921756794114 3202927990190 4804391985285 7366734377437 9608783970570 14733468754874 22100203132311 36833671887185 44200406264622 73667343774370 110501015661555 221002031323110