Search a number
-
+
2121011012020 = 225106050550601
BaseRepresentation
bin11110110111010110000…
…110111010000110110100
321111202200220102012020011
4132313112012322012310
5234222312304341040
64302213510550004
7306144426064255
oct36672606720664
97452626365204
102121011012020
1174857447022a
122a3096368304
1312501a042cb4
147492c1acb2c
153a28badc3ea
hex1edd61ba1b4

2121011012020 has 12 divisors (see below), whose sum is σ = 4454123125284. Its totient is φ = 848404404800.

The previous prime is 2121011011967. The next prime is 2121011012063. The reversal of 2121011012020 is 202101101212.

It can be written as a sum of positive squares in 2 ways, for example, as 885898853284 + 1235112158736 = 941222^2 + 1111356^2 .

It is a super-2 number, since 2×21210110120202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 53025275281 + ... + 53025275320.

It is an arithmetic number, because the mean of its divisors is an integer number (371176927107).

Almost surely, 22121011012020 is an apocalyptic number.

2121011012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011012020 is an abundant number, since it is smaller than the sum of its proper divisors (2333112113264).

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

2121011012020 is a wasteful number, since it uses less digits than its factorization.

2121011012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106050550610 (or 106050550608 counting only the distinct ones).

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

Adding to 2121011012020 its reverse (202101101212), we get a palindrome (2323112113232).

The spelling of 2121011012020 in words is "two trillion, one hundred twenty-one billion, eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 106050550601 212101101202 424202202404 530252753005 1060505506010 2121011012020