Search a number
-
+
21102120022221 = 337234854409943
BaseRepresentation
bin1001100110001001110000…
…10111100011000011001101
32202201100021000201120011000
410303010320113203003031
510231214120211202341
6112514102523050513
74305402130444140
oct463047027430315
982640230646130
1021102120022221
1167a63a4692107
122449895370a39
13ba0bc936a414
1452d4c3104057
15268daba068b6
hex1331385e30cd

21102120022221 has 32 divisors (see below), whose sum is σ = 37281868369920. Its totient is φ = 11534078022192.

The previous prime is 21102120022213. The next prime is 21102120022229. The reversal of 21102120022221 is 12222002120112.

It is a happy number.

21102120022221 is a `hidden beast` number, since 211 + 0 + 212 + 0 + 0 + 22 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21102120022213) and next prime (21102120022229).

It is not a de Polignac number, because 21102120022221 - 23 = 21102120022213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21102120022194 and 21102120022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102120022229) 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, 2427200625 + ... + 2427209318.

It is an arithmetic number, because the mean of its divisors is an integer number (1165058386560).

Almost surely, 221102120022221 is an apocalyptic number.

21102120022221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102120022221 is a deficient number, since it is larger than the sum of its proper divisors (16179748347699).

21102120022221 is a wasteful number, since it uses less digits than its factorization.

21102120022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854409982 (or 4854409976 counting only the distinct ones).

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

Adding to 21102120022221 its reverse (12222002120112), we get a palindrome (33324122142333).

The spelling of 21102120022221 in words is "twenty-one trillion, one hundred two billion, one hundred twenty million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 4854409943 14563229829 33980869601 43689689487 101942608803 111651428689 131069068461 305827826409 334954286067 781560000823 917483479227 1004862858201 2344680002469 3014588574603 7034040007407 21102120022221