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221131231020 = 223257175500977
BaseRepresentation
bin1100110111110001110…
…0101100111100101100
3210010210000102102222100
43031330130230330230
512110334043343040
6245330345415100
721655560310350
oct3157434547454
9703700372870
10221131231020
11858658a6897
1236a3449a490
1317b11190b7b
14a9ba715460
155b43694b30
hex337c72cf2c

221131231020 has 72 divisors (see below), whose sum is σ = 766588271904. Its totient is φ = 50544281088.

The previous prime is 221131231001. The next prime is 221131231127. The reversal of 221131231020 is 20132131122.

221131231020 is a `hidden beast` number, since 2 + 21 + 1 + 312 + 310 + 20 = 666.

It is a super-2 number, since 2×2211312310202 (a number of 23 digits) contains 22 as substring.

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 = 221131230984 and 221131231002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87749229 + ... + 87751748.

It is an arithmetic number, because the mean of its divisors is an integer number (10647059332).

Almost surely, 2221131231020 is an apocalyptic number.

221131231020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131231020 is an abundant number, since it is smaller than the sum of its proper divisors (545457040884).

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

221131231020 is a wasteful number, since it uses less digits than its factorization.

221131231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175500999 (or 175500994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221131231020 its reverse (20132131122), we get a palindrome (241263362142).

The spelling of 221131231020 in words is "two hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 175500977 351001954 526502931 702003908 877504885 1053005862 1228506839 1579508793 1755009770 2106011724 2457013678 2632514655 3159017586 3510019540 3685520517 4914027356 5265029310 6142534195 6318035172 7371041034 7897543965 10530058620 11056561551 12285068390 14742082068 15795087930 18427602585 22113123102 24570136780 31590175860 36855205170 44226246204 55282807755 73710410340 110565615510 221131231020