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210311412112 = 241747107153749
BaseRepresentation
bin1100001111011110001…
…0010111100110010000
3202002211222000200201201
43003313202113212100
511421204210141422
6240340555240544
721123466335664
oct3036742274620
9662758020651
10210311412112
118121334479a
1234914a49154
1316aa86a1969
14a2717488a4
15570d847727
hex30f7897990

210311412112 has 80 divisors (see below), whose sum is σ = 444748320000. Its totient is φ = 95958431744.

The previous prime is 210311412089. The next prime is 210311412187. The reversal of 210311412112 is 211214113012.

210311412112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 210311412112.

It is an unprimeable number.

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, 1291014 + ... + 1444762.

It is an arithmetic number, because the mean of its divisors is an integer number (5559354000).

Almost surely, 2210311412112 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 210311412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222374160000).

210311412112 is an abundant number, since it is smaller than the sum of its proper divisors (234436907888).

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

210311412112 is a wasteful number, since it uses less digits than its factorization.

210311412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153928 (or 153922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 210311412112 its reverse (211214113012), we get a palindrome (421525525124).

The spelling of 210311412112 in words is "two hundred ten billion, three hundred eleven million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 47 68 94 107 136 188 214 272 376 428 752 799 856 1598 1712 1819 3196 3638 5029 6392 7276 10058 12784 14552 20116 29104 40232 80464 85493 153749 170986 307498 341972 614996 683944 1229992 1367888 2459984 2613733 5227466 7226203 10454932 14452406 16451143 20909864 28904812 32902286 41819728 57809624 65804572 115619248 122845451 131609144 245690902 263218288 279669431 491381804 559338862 773203721 982763608 1118677724 1546407442 1965527216 2237355448 3092814884 4474710896 6185629768 12371259536 13144463257 26288926514 52577853028 105155706056 210311412112