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221132212020 = 2232510631155703
BaseRepresentation
bin1100110111110010000…
…0011100011100110100
3210010210002021021122200
43031330200130130310
512110334321241040
6245330422424500
721655601534406
oct3157440343464
9703702237580
10221132212020
1185866406935
1236a34892130
1317b11445545
14a9ba8ccb76
155b437da630
hex337c81c734

221132212020 has 72 divisors (see below), whose sum is σ = 671399304576. Its totient is φ = 58913065152.

The previous prime is 221132212019. The next prime is 221132212033. The reversal of 221132212020 is 20212231122.

221132212020 is a `hidden beast` number, since 221 + 1 + 322 + 120 + 2 + 0 = 666.

221132212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 221132211984 and 221132212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386512 + ... + 769191.

Almost surely, 2221132212020 is an apocalyptic number.

221132212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132212020 is an abundant number, since it is smaller than the sum of its proper divisors (450267092556).

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

221132212020 is a wasteful number, since it uses less digits than its factorization.

221132212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156781 (or 1156776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221132212020 its reverse (20212231122), we get a palindrome (241344443142).

The spelling of 221132212020 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1063 2126 3189 4252 5315 6378 9567 10630 12756 15945 19134 21260 31890 38268 47835 63780 95670 191340 1155703 2311406 3467109 4622812 5778515 6934218 10401327 11557030 13868436 17335545 20802654 23114060 34671090 41605308 52006635 69342180 104013270 208026540 1228512289 2457024578 3685536867 4914049156 6142561445 7371073734 11056610601 12285122890 14742147468 18427684335 22113221202 24570245780 36855368670 44226442404 55283053005 73710737340 110566106010 221132212020