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21235123134 = 235211207079
BaseRepresentation
bin10011110001101101…
…100100001110111110
32000210220122000200000
4103301231210032332
5321442142420014
613431050215130
71351140365661
oct236155441676
960726560600
1021235123134
119007745345
1241477244a6
132005548c24
1410563596d8
158443e3509
hex4f1b643be

21235123134 has 48 divisors (see below), whose sum is σ = 47939848320. Its totient is φ = 7044793560.

The previous prime is 21235123061. The next prime is 21235123207. The reversal of 21235123134 is 43132153212.

21235123134 is a `hidden beast` number, since 2 + 12 + 3 + 512 + 3 + 134 = 666.

It is an interprime number because it is at equal distance from previous prime (21235123061) and next prime (21235123207).

It is a super-2 number, since 2×212351231342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21235123098 and 21235123107.

It is a congruent number.

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, 994 + ... + 206085.

It is an arithmetic number, because the mean of its divisors is an integer number (998746840).

Almost surely, 221235123134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21235123134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969924160).

21235123134 is an abundant number, since it is smaller than the sum of its proper divisors (26704725186).

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

21235123134 is a wasteful number, since it uses less digits than its factorization.

21235123134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207307 (or 207295 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 21235123134 its reverse (43132153212), we get a palindrome (64367276346).

The spelling of 21235123134 in words is "twenty-one billion, two hundred thirty-five million, one hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 243 422 486 633 1266 1899 3798 5697 11394 17091 34182 51273 102546 207079 414158 621237 1242474 1863711 3727422 5591133 11182266 16773399 33546798 43693669 50320197 87387338 100640394 131081007 262162014 393243021 786486042 1179729063 2359458126 3539187189 7078374378 10617561567 21235123134