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210202000112 = 241317191311237
BaseRepresentation
bin1100001111000100000…
…0111111101011110000
3202002120100010222200102
43003301000333223300
511420443203000422
6240322050211532
721121000343366
oct3036100775360
9662510128612
10210202000112
1181167604955
12348a4283ba8
1316a8bb14130
14a260dc7636
155703e34192
hex30f103faf0

210202000112 has 80 divisors (see below), whose sum is σ = 466827121152. Its totient is φ = 90831114240.

The previous prime is 210202000103. The next prime is 210202000117. The reversal of 210202000112 is 211000202012.

It is a happy number.

210202000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210202000093 and 210202000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519758 + ... + 830994.

Almost surely, 2210202000112 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 210202000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233413560576).

210202000112 is an abundant number, since it is smaller than the sum of its proper divisors (256625121040).

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

210202000112 is a wasteful number, since it uses less digits than its factorization.

210202000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311466 (or 311460 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210202000112 its reverse (211000202012), we get a palindrome (421202202124).

The spelling of 210202000112 in words is "two hundred ten billion, two hundred two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 191 208 221 272 382 442 764 884 1528 1768 2483 3056 3247 3536 4966 6494 9932 12988 19864 25976 39728 42211 51952 84422 168844 311237 337688 622474 675376 1244948 2489896 4046081 4979792 5291029 8092162 10582058 16184324 21164116 32368648 42328232 59446267 64737296 68783377 84656464 118892534 137566754 237785068 275133508 475570136 550267016 772801471 951140272 1010586539 1100534032 1545602942 2021173078 3091205884 4042346156 6182411768 8084692312 12364823536 13137625007 16169384624 26275250014 52550500028 105101000056 210202000112