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102021232221220 = 225131631292405393
BaseRepresentation
bin10111001100100110101011…
…010011100101110000100100
3111101020010122002022222020111
4113030212223103211300210
5101333003440422034340
61000551523531542404
730326535145432024
oct2714465323456044
9441203562288214
10102021232221220
112a563a639a0024
12b5384942baa04
1344c073a44b410
141b29bd54a3a84
15bbdc167baaea
hex5cc9ab4e5c24

102021232221220 has 48 divisors (see below), whose sum is σ = 230726450853360. Its totient is φ = 37669131472896.

The previous prime is 102021232221203. The next prime is 102021232221229. The reversal of 102021232221220 is 22122232120201.

It is a happy number.

102021232221220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 26118559439424 + 75902672781796 = 5110632^2 + 8712214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102021232221191 and 102021232221200.

It is not an unprimeable number, because it can be changed into a prime (102021232221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41210844 + ... + 43616236.

It is an arithmetic number, because the mean of its divisors is an integer number (4806801059445).

Almost surely, 2102021232221220 is an apocalyptic number.

102021232221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021232221220 is an abundant number, since it is smaller than the sum of its proper divisors (128705218632140).

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

102021232221220 is a wasteful number, since it uses less digits than its factorization.

102021232221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568544 (or 2568542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102021232221220 its reverse (22122232120201), we get a palindrome (124143464341421).

The spelling of 102021232221220 in words is "one hundred two trillion, twenty-one billion, two hundred thirty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 163129 326258 652516 815645 1631290 2120677 2405393 3262580 4241354 4810786 8482708 9621572 10603385 12026965 21206770 24053930 31270109 42413540 48107860 62540218 125080436 156350545 312701090 625402180 392389354697 784778709394 1569557418788 1961946773485 3923893546970 5101061611061 7847787093940 10202123222122 20404246444244 25505308055305 51010616110610 102021232221220