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20221221221130 = 2355979714334277
BaseRepresentation
bin1001001100100000111101…
…01101010011001100001010
32122121010111200012220212010
410212100132231103030022
510122301030113034010
6111001300100400350
74154635466254146
oct446203655231412
978533450186763
1020221221221130
116496854238816
1223270120a60b6
13b38b11cc2197
144dc9d88ba226
152510013a4620
hex12641eb5330a

20221221221130 has 64 divisors (see below), whose sum is σ = 49415416606080. Its totient is φ = 5294278834944.

The previous prime is 20221221221099. The next prime is 20221221221153. The reversal of 20221221221130 is 3112212212202.

It is a junction number, because it is equal to n+sod(n) for n = 20221221221097 and 20221221221106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5756449 + ... + 8577828.

It is an arithmetic number, because the mean of its divisors is an integer number (772115884470).

Almost surely, 220221221221130 is an apocalyptic number.

20221221221130 is an abundant number, since it is smaller than the sum of its proper divisors (29194195384950).

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

20221221221130 is a wasteful number, since it uses less digits than its factorization.

20221221221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14335143.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20221221221130 its reverse (3112212212202), we get a palindrome (23333433433332).

The spelling of 20221221221130 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 797 885 1594 1770 2391 3985 4782 7970 11955 23910 47023 94046 141069 235115 282138 470230 705345 1410690 14334277 28668554 43002831 71671385 86005662 143342770 215014155 430028310 845722343 1691444686 2537167029 4228611715 5074334058 8457223430 11424418769 12685835145 22848837538 25371670290 34273256307 57122093845 68546512614 114244187690 171366281535 342732563070 674040707371 1348081414742 2022122122113 3370203536855 4044244244226 6740407073710 10110610610565 20221221221130