Search a number
-
+
20212112222001 = 337157681161737
BaseRepresentation
bin1001001100001111111111…
…10001001110011100110001
32122120020222212000211011000
410212013333301032130301
510122123401212101001
6110553152143112213
74154163661120320
oct446077761163461
978506885024130
1020212112222001
1164929aa469967
1223252ab5a2669
13b37cbca9a27b
144dc3b2c100b7
15250b6b846a86
hex1261ffc4e731

20212112222001 has 32 divisors (see below), whose sum is σ = 34439537473280. Its totient is φ = 11476212928128.

The previous prime is 20212112221979. The next prime is 20212112222011. The reversal of 20212112222001 is 10022221121202.

It is a happy number.

20212112222001 is a `hidden beast` number, since 20 + 212 + 11 + 222 + 200 + 1 = 666.

It is not a de Polignac number, because 20212112222001 - 211 = 20212112219953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20212112222011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340551196 + ... + 340610541.

It is an arithmetic number, because the mean of its divisors is an integer number (1076235546040).

Almost surely, 220212112222001 is an apocalyptic number.

20212112222001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20212112222001 is a deficient number, since it is larger than the sum of its proper divisors (14227425251279).

20212112222001 is a wasteful number, since it uses less digits than its factorization.

20212112222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681161910 (or 681161904 counting only the distinct ones).

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

Adding to 20212112222001 its reverse (10022221121202), we get a palindrome (30234333343203).

The spelling of 20212112222001 in words is "twenty trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one".

Divisors: 1 3 7 9 21 27 63 157 189 471 1099 1413 3297 4239 9891 29673 681161737 2043485211 4768132159 6130455633 14304396477 18391366899 42913189431 106942392709 128739568293 320827178127 748596748963 962481534381 2245790246889 2887444603143 6737370740667 20212112222001