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2121001101220 = 2251731397198689
BaseRepresentation
bin11110110111010101100…
…001000110011110100100
321111202200012202200011111
4132313111201012132210
5234222302240214340
64302212514314404
7306144245615641
oct36672541063644
97452605680144
102121001101220
11748569911091
122a3092b88a04
13125017c82c11
147492ab4cdc8
153a28acd0aea
hex1edd58467a4

2121001101220 has 48 divisors (see below), whose sum is σ = 4716282276720. Its totient is φ = 798465081344.

The previous prime is 2121001101217. The next prime is 2121001101227. The reversal of 2121001101220 is 221011001212.

It can be written as a sum of positive squares in 8 ways, for example, as 29743831296 + 2091257269924 = 172464^2 + 1446118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2121001101220.

It is not an unprimeable number, because it can be changed into a prime (2121001101227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10575636 + ... + 10774324.

It is an arithmetic number, because the mean of its divisors is an integer number (98255880765).

Almost surely, 22121001101220 is an apocalyptic number.

2121001101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121001101220 is an abundant number, since it is smaller than the sum of its proper divisors (2595281175500).

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

2121001101220 is a wasteful number, since it uses less digits than its factorization.

2121001101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230112 (or 230110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121001101220 its reverse (221011001212), we get a palindrome (2342012102432).

The spelling of 2121001101220 in words is "two trillion, one hundred twenty-one billion, one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 31397 62794 125588 156985 198689 313970 397378 533749 627940 794756 993445 1067498 1986890 2134996 2668745 3377713 3973780 5337490 6755426 10674980 13510852 16888565 33777130 67554260 6238238533 12476477066 24952954132 31191192665 62382385330 106050055061 124764770660 212100110122 424200220244 530250275305 1060500550610 2121001101220