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220121212020021 = 33131759723617681
BaseRepresentation
bin110010000011001011110110…
…101001100110010100110101
31001212101101022201220011122000
4302003023312221212110311
5212322431220234120041
62100054142213525513
764236142556452044
oct6203136651462465
91055341281804560
10220121212020021
1164156977701044
1220830b70643899
1395a945889c590
143c4dcd016655b
151a6acd04dcbb6
hexc832f6a66535

220121212020021 has 64 divisors (see below), whose sum is σ = 371855632861440. Its totient is φ = 127488677621760.

The previous prime is 220121212019957. The next prime is 220121212020053. The reversal of 220121212020021 is 120020212121022.

It is a happy number.

220121212020021 is a `hidden beast` number, since 220 + 1 + 212 + 12 + 0 + 200 + 21 = 666.

220121212020021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220121212020021 - 26 = 220121212019957 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220121212019976 and 220121212020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220121212020821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356058301 + ... + 356675981.

It is an arithmetic number, because the mean of its divisors is an integer number (5810244263460).

Almost surely, 2220121212020021 is an apocalyptic number.

It is an amenable number.

220121212020021 is a deficient number, since it is larger than the sum of its proper divisors (151734420841419).

220121212020021 is a wasteful number, since it uses less digits than its factorization.

220121212020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677443 (or 677437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220121212020021 its reverse (120020212121022), we get a palindrome (340141424141043).

The spelling of 220121212020021 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, twenty thousand, twenty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 59723 179169 537507 617681 776399 1015291 1612521 1853043 2329197 3045873 5559129 6987591 8029853 9137619 10500577 13198783 16677387 20962773 24089559 27412857 31501731 39596349 72268677 94505193 118789047 136507501 216806031 283515579 356367141 409522503 1228567509 3685702527 36889762363 110669287089 332007861267 479566910719 627125960171 996023583801 1438700732157 1881377880513 4316102196471 5644133641539 8152637482223 12948306589413 16932400924617 24457912446669 73373737340007 220121212020021