Search a number
-
+
2121003100323 = 322387711683457
BaseRepresentation
bin11110110111010101101…
…000101110100010100011
321111202200100112020102100
4132313111220232202203
5234222303243202243
64302213025221443
7306144301613142
oct36672550564243
97452610466370
102121003100323
1174856aa57038
122a3093791883
13125018502b13
147492b10d759
153a28b0780d3
hex1edd5a2e8a3

2121003100323 has 24 divisors (see below), whose sum is σ = 3200519750688. Its totient is φ = 1350981384192.

The previous prime is 2121003100243. The next prime is 2121003100331. The reversal of 2121003100323 is 3230013001212.

2121003100323 is a `hidden beast` number, since 21 + 2 + 10 + 0 + 310 + 0 + 323 = 666.

It is not a de Polignac number, because 2121003100323 - 28 = 2121003100067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121003100296 and 2121003100305.

It is not an unprimeable number, because it can be changed into a prime (2121003100423) 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 23 ways as a sum of consecutive naturals, for example, 5660190 + ... + 6023267.

It is an arithmetic number, because the mean of its divisors is an integer number (133354989612).

Almost surely, 22121003100323 is an apocalyptic number.

2121003100323 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2121003100323 is a deficient number, since it is larger than the sum of its proper divisors (1079516650365).

2121003100323 is a wasteful number, since it uses less digits than its factorization.

2121003100323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684363 (or 11684360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2121003100323 its reverse (3230013001212), we get a palindrome (5351016101535).

The spelling of 2121003100323 in words is "two trillion, one hundred twenty-one billion, three million, one hundred thousand, three hundred twenty-three".

Divisors: 1 3 9 23 69 207 877 2631 7893 20171 60513 181539 11683457 35050371 105151113 268719511 806158533 2418475599 10246391789 30739175367 92217526101 235667011147 707001033441 2121003100323