Search a number
-
+
20112122102112 = 253269833757299
BaseRepresentation
bin1001001001010101101111…
…11001001100000101100000
32122012200220100222102212100
410210222313321030011200
510114004111224231422
6110435214211530400
74144024064121645
oct444526771140540
978180810872770
1020112122102112
116454559671947
122309a44bb9a00
13b2b746339961
144d7609201dcc
1524d26840e7ac
hex124ab7e4c160

20112122102112 has 36 divisors (see below), whose sum is σ = 57193847228700. Its totient is φ = 6704040700608.

The previous prime is 20112122102089. The next prime is 20112122102129. The reversal of 20112122102112 is 21120122121102.

20112122102112 is a `hidden beast` number, since 20 + 11 + 212 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34916878362 + ... + 34916878937.

It is an arithmetic number, because the mean of its divisors is an integer number (1588717978575).

Almost surely, 220112122102112 is an apocalyptic number.

It is an amenable number.

20112122102112 is an abundant number, since it is smaller than the sum of its proper divisors (37081725126588).

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

20112122102112 is a wasteful number, since it uses less digits than its factorization.

20112122102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69833757315 (or 69833757304 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20112122102112 its reverse (21120122121102), we get a palindrome (41232244223214).

The spelling of 20112122102112 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69833757299 139667514598 209501271897 279335029196 419002543794 558670058392 628503815691 838005087588 1117340116784 1257007631382 1676010175176 2234680233568 2514015262764 3352020350352 5028030525528 6704040700704 10056061051056 20112122102112