Search a number
-
+
20314432311201 = 3272103447227887
BaseRepresentation
bin1001001111001110100101…
…00001011000111110100001
32122221001002201022220110100
410213213102201120332201
510130312424132424301
6111112153225453013
74164445366410300
oct447472241307641
978831081286410
1020314432311201
116522336497356
1223410a6341169
13b44848166a52
1450331c04c437
152536595c0286
hex1279d2858fa1

20314432311201 has 36 divisors (see below), whose sum is σ = 34465169960832. Its totient is φ = 11495545581744.

The previous prime is 20314432311191. The next prime is 20314432311209. The reversal of 20314432311201 is 10211323441302.

20314432311201 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 443 + 2 + 3 + 11 + 201 = 666.

It is not a de Polignac number, because 20314432311201 - 26 = 20314432311137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20314432311209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223568521 + ... + 223659366.

Almost surely, 220314432311201 is an apocalyptic number.

20314432311201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20314432311201 is a deficient number, since it is larger than the sum of its proper divisors (14150737649631).

20314432311201 is a wasteful number, since it uses less digits than its factorization.

20314432311201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447228010 (or 447228000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20314432311201 its reverse (10211323441302), we get a palindrome (30525755752503).

The spelling of 20314432311201 in words is "twenty trillion, three hundred fourteen billion, four hundred thirty-two million, three hundred eleven thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 103 147 309 441 721 927 2163 5047 6489 15141 45423 447227887 1341683661 3130595209 4025050983 9391785627 21914166463 28175356881 46064472361 65742499389 138193417083 197227498167 322451306527 414580251249 967353919581 2257159145689 2902061758743 6771477437067 20314432311201