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20123213112 = 233215111091669
BaseRepresentation
bin10010101111011011…
…111101110100111000
31220221102101010212100
4102233123331310320
5312203020304422
613124450143400
71311446326542
oct225733756470
956842333770
1020123213112
118597035942
123a97281b60
131b890881c2
14d8c7da692
157cb9a87ac
hex4af6fdd38

20123213112 has 96 divisors (see below), whose sum is σ = 54943668000. Its totient is φ = 6653318400.

The previous prime is 20123213111. The next prime is 20123213189. The reversal of 20123213112 is 21131232102.

20123213112 is a `hidden beast` number, since 20 + 12 + 321 + 311 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123213111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12056214 + ... + 12057882.

It is an arithmetic number, because the mean of its divisors is an integer number (572329875).

Almost surely, 220123213112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471834000).

20123213112 is an abundant number, since it is smaller than the sum of its proper divisors (34820454888).

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

20123213112 is a wasteful number, since it uses less digits than its factorization.

20123213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2934 counting only the distinct ones).

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

Adding to 20123213112 its reverse (21131232102), we get a palindrome (41254445214).

The spelling of 20123213112 in words is "twenty billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1109 1208 1359 1669 1812 2218 2718 3327 3338 3624 4436 5007 5436 6654 6676 8872 9981 10014 10872 13308 13352 15021 19962 20028 26616 30042 39924 40056 60084 79848 120168 167459 252019 334918 502377 504038 669836 756057 1004754 1008076 1339672 1507131 1512114 1850921 2009508 2016152 2268171 3014262 3024228 3701842 4019016 4536342 5552763 6028524 6048456 7403684 9072684 11105526 12057048 14807368 16658289 18145368 22211052 33316578 44422104 66633156 133266312 279489071 558978142 838467213 1117956284 1676934426 2235912568 2515401639 3353868852 5030803278 6707737704 10061606556 20123213112