Search a number
-
+
21102002323101 = 327863388125629
BaseRepresentation
bin1001100110001001100010…
…10110100011111010011101
32202201022221211020211022100
410303010301112203322131
510231213400043314401
6112514043120235313
74305366201145050
oct463046126437235
982638854224270
1021102002323101
1167a6344202007
122449861a6bb39
13ba0baab6a87b
1452d4b1626a97
15268da1507b86
hex1331315a3e9d

21102002323101 has 24 divisors (see below), whose sum is σ = 34875416609280. Its totient is φ = 12044314488096.

The previous prime is 21102002323091. The next prime is 21102002323141. The reversal of 21102002323101 is 10132320020112.

21102002323101 is a `hidden beast` number, since 21 + 102 + 0 + 0 + 232 + 310 + 1 = 666.

It is not a de Polignac number, because 21102002323101 - 213 = 21102002314909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102002323141) 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, 194008446 + ... + 194117183.

It is an arithmetic number, because the mean of its divisors is an integer number (1453142358720).

Almost surely, 221102002323101 is an apocalyptic number.

21102002323101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21102002323101 is a deficient number, since it is larger than the sum of its proper divisors (13773414286179).

21102002323101 is a wasteful number, since it uses less digits than its factorization.

21102002323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388126505 (or 388126502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21102002323101 its reverse (10132320020112), we get a palindrome (31234322343213).

The spelling of 21102002323101 in words is "twenty-one trillion, one hundred two billion, two million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 3 7 9 21 63 863 2589 6041 7767 18123 54369 388125629 1164376887 2716879403 3493130661 8150638209 24451914627 334952417827 1004857253481 2344666924789 3014571760443 7034000774367 21102002323101