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122332210020 = 2232523269109847
BaseRepresentation
bin111000111101110010…
…0010110001101100100
3102200202112122011012100
41301323210112031210
54001014021210040
6132110523452100
711560335425346
oct1617344261544
9380675564170
10122332210020
1147976386019
121b860987030
13b6c74293b7
145cc6d9b296
1532aeadab30
hex1c7b916364

122332210020 has 144 divisors (see below), whose sum is σ = 388651011840. Its totient is φ = 31087296768.

The previous prime is 122332209953. The next prime is 122332210037. The reversal of 122332210020 is 20012233221.

122332210020 is a `hidden beast` number, since 1 + 223 + 322 + 100 + 20 = 666.

122332210020 is digitally balanced in base 3, 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 = 122332209975 and 122332210002.

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 47 ways as a sum of consecutive naturals, for example, 1058737 + ... + 1168583.

It is an arithmetic number, because the mean of its divisors is an integer number (2698965360).

Almost surely, 2122332210020 is an apocalyptic number.

122332210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122332210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194325505920).

122332210020 is an abundant number, since it is smaller than the sum of its proper divisors (266318801820).

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

122332210020 is a wasteful number, since it uses less digits than its factorization.

122332210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110154 (or 110149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122332210020 its reverse (20012233221), we get a palindrome (142344443241).

The spelling of 122332210020 in words is "one hundred twenty-two billion, three hundred thirty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 269 276 345 414 460 538 690 807 828 1035 1076 1345 1380 1614 2070 2421 2690 3228 4035 4140 4842 5380 6187 8070 9684 12105 12374 16140 18561 24210 24748 30935 37122 48420 55683 61870 74244 92805 109847 111366 123740 185610 219694 222732 278415 329541 371220 439388 549235 556830 659082 988623 1098470 1113660 1318164 1647705 1977246 2196940 2526481 3295410 3954492 4943115 5052962 6590820 7579443 9886230 10105924 12632405 15158886 19772460 22738329 25264810 29548843 30317772 37897215 45476658 50529620 59097686 75794430 88646529 90953316 113691645 118195372 147744215 151588860 177293058 227383290 265939587 295488430 354586116 443232645 454766580 531879174 590976860 679623389 886465290 1063758348 1329697935 1359246778 1772930580 2038870167 2659395870 2718493556 3398116945 4077740334 5318791740 6116610501 6796233890 8155480668 10194350835 12233221002 13592467780 20388701670 24466442004 30583052505 40777403340 61166105010 122332210020