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2221131101220 = 223451780651093
BaseRepresentation
bin100000010100100101101…
…110101111010000100100
321212100010110000200220000
4200110211232233100210
5242342334030214340
64420212403541300
7316320461565123
oct40244556572044
97770113020800
102221131101220
11786a816690a9
122ba57838a830
131315b46ab125
147970916daba
153cb9b648d30
hex20525baf424

2221131101220 has 120 divisors (see below), whose sum is σ = 7377639474744. Its totient is φ = 557460347904.

The previous prime is 2221131101197. The next prime is 2221131101269. The reversal of 2221131101220 is 221011311222.

2221131101220 is a `hidden beast` number, since 22 + 211 + 311 + 0 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 989137658916 + 1231993442304 = 994554^2 + 1109952^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221131101193 and 2221131101202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40298007 + ... + 40353086.

Almost surely, 22221131101220 is an apocalyptic number.

2221131101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221131101220 is an abundant number, since it is smaller than the sum of its proper divisors (5156508373524).

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

2221131101220 is a wasteful number, since it uses less digits than its factorization.

2221131101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80651131 (or 80651120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2221131101220 its reverse (221011311222), we get a palindrome (2442142412442).

The spelling of 2221131101220 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 80651093 161302186 241953279 322604372 403255465 483906558 725859837 806510930 967813116 1209766395 1371068581 1451719674 1613021860 2177579511 2419532790 2742137162 2903439348 3629299185 4113205743 4355159022 4839065580 5484274324 6532738533 6855342905 7258598370 8226411486 8710318044 10887897555 12339617229 13065477066 13710685810 14517196740 16452822972 20566028715 21775795110 24679234458 26130954132 27421371620 32663692665 37018851687 41132057430 43551590220 49358468916 61698086145 65327385330 74037703374 82264114860 111056555061 123396172290 130654770660 148075406748 185094258435 222113110122 246792344580 370188516870 444226220244 555282775305 740377033740 1110565550610 2221131101220