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20213240112 = 24321361177011
BaseRepresentation
bin10010110100110011…
…011001000100110000
31221011200202222200200
4102310303121010300
5312344042140422
613141423515200
71313621464122
oct226463310460
957150688620
1020213240112
11863293551a
123b01458b00
131ba1919510
14d9a753212
157d483d2ac
hex4b4cd9130

20213240112 has 120 divisors (see below), whose sum is σ = 61919505648. Its totient is φ = 6117465600.

The previous prime is 20213240101. The next prime is 20213240123. The reversal of 20213240112 is 21104231202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20213240101) and next prime (20213240123).

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

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, 25687 + ... + 202697.

Almost surely, 220213240112 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 20213240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959752824).

20213240112 is an abundant number, since it is smaller than the sum of its proper divisors (41706265536).

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

20213240112 is a wasteful number, since it uses less digits than its factorization.

20213240112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177099 (or 177090 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20213240112 its reverse (21104231202), we get a palindrome (41317471314).

The spelling of 20213240112 in words is "twenty billion, two hundred thirteen million, two hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 468 488 549 624 732 793 936 976 1098 1464 1586 1872 2196 2379 2928 3172 4392 4758 6344 7137 8784 9516 12688 14274 19032 28548 38064 57096 114192 177011 354022 531033 708044 1062066 1416088 1593099 2124132 2301143 2832176 3186198 4248264 4602286 6372396 6903429 8496528 9204572 10797671 12744792 13806858 18409144 20710287 21595342 25489584 27613716 32393013 36818288 41420574 43190684 55227432 64786026 82841148 86381368 97179039 110454864 129572052 140369723 165682296 172762736 194358078 259144104 280739446 331364592 388716156 421109169 518288208 561478892 777432312 842218338 1122957784 1263327507 1554864624 1684436676 2245915568 2526655014 3368873352 5053310028 6737746704 10106620056 20213240112