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112001100210 = 23256135357793
BaseRepresentation
bin110100001001111001…
…0010010100110110010
3101201002112211101210200
41220103302102212302
53313334240201320
6123241432140030
711043330433566
oct1502362224662
9351075741720
10112001100210
114355477933a
1219858b37616
13a73bc6ac7c
1455c6c876a6
152da7b26290
hex1a13c929b2

112001100210 has 96 divisors (see below), whose sum is σ = 296820274608. Its totient is φ = 29293608960.

The previous prime is 112001100181. The next prime is 112001100259. The reversal of 112001100210 is 12001100211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25068705561 + 86932394649 = 158331^2 + 294843^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112001100192 and 112001100201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909074 + ... + 1966866.

Almost surely, 2112001100210 is an apocalyptic number.

112001100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148410137304).

112001100210 is an abundant number, since it is smaller than the sum of its proper divisors (184819174398).

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

112001100210 is a wasteful number, since it uses less digits than its factorization.

112001100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58220 (or 58217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112001100210 its reverse (12001100211), we get a palindrome (124002200421).

Subtracting from 112001100210 its reverse (12001100211), we obtain a palindrome (99999999999).

The spelling of 112001100210 in words is "one hundred twelve billion, one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 353 366 549 610 706 915 1059 1098 1765 1830 2118 2745 3177 3530 5295 5490 6354 10590 15885 21533 31770 43066 57793 64599 107665 115586 129198 173379 193797 215330 288965 322995 346758 387594 520137 577930 645990 866895 968985 1040274 1733790 1937970 2600685 3525373 5201370 7050746 10576119 17626865 20400929 21152238 31728357 35253730 40801858 52880595 61202787 63456714 102004645 105761190 122405574 158641785 183608361 204009290 306013935 317283570 367216722 612027870 918041805 1244456669 1836083610 2488913338 3733370007 6222283345 7466740014 11200110021 12444566690 18666850035 22400220042 37333700070 56000550105 112001100210