Search a number
-
+
20212122002202 = 23213433199484041
BaseRepresentation
bin1001001100010000000000…
…10110100010001100011010
32122120021000112102201001200
410212020000112202030122
510122123411213032302
6110553153132455030
74154164140213114
oct446100026421432
978507015381050
1020212122002202
116492a04a39979
1223252b291a476
13b37cc1b12a80
144dc3b42383b4
15250b6c62981c
hex1262005a231a

20212122002202 has 48 divisors (see below), whose sum is σ = 47270536528488. Its totient is φ = 6204751580160.

The previous prime is 20212122002117. The next prime is 20212122002213. The reversal of 20212122002202 is 20220022121202.

20212122002202 is a `hidden beast` number, since 20 + 212 + 12 + 200 + 220 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15977535890481 + 4234586111721 = 3997191^2 + 2057811^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99640699 + ... + 99843342.

Almost surely, 220212122002202 is an apocalyptic number.

20212122002202 is an abundant number, since it is smaller than the sum of its proper divisors (27058414526286).

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

20212122002202 is a wasteful number, since it uses less digits than its factorization.

20212122002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199484495 (or 199484492 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212122002202 its reverse (20220022121202), we get a palindrome (40432144123404).

The spelling of 20212122002202 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 433 866 1299 2598 3897 5629 7794 11258 16887 33774 50661 101322 199484041 398968082 598452123 1196904246 1795356369 2593292533 3590712738 5186585066 7779877599 15559755198 23339632797 46679265594 86376589753 172753179506 259129769259 518259538518 777389307777 1122895666789 1554778615554 2245791333578 3368687000367 6737374000734 10106061001101 20212122002202