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210111002112 = 2931119076521
BaseRepresentation
bin1100001110101110010…
…1110111011000000000
3202002022222220210220010
43003223211313120000
511420301404031422
6240305035544520
721115514023164
oct3035345673000
9662288823803
10210111002112
11811202017a0
12348798bb140
1316a76002b6b
14a252c9aca4
1556eae5bb0c
hex30eb977600

210111002112 has 160 divisors (see below), whose sum is σ = 611048997504. Its totient is φ = 63626854400.

The previous prime is 210111002083. The next prime is 210111002117. The reversal of 210111002112 is 211200111012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210111002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32217412 + ... + 32223932.

Almost surely, 2210111002112 is an apocalyptic number.

210111002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305524498752).

210111002112 is an abundant number, since it is smaller than the sum of its proper divisors (400937995392).

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

210111002112 is a wasteful number, since it uses less digits than its factorization.

210111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210111002112 its reverse (211200111012), we get a palindrome (421311113124).

The spelling of 210111002112 in words is "two hundred ten billion, one hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1907 2112 2816 3814 4224 5632 5721 6521 7628 8448 11442 13042 15256 16896 19563 20977 22884 26084 30512 39126 41954 45768 52168 61024 62931 71731 78252 83908 91536 104336 122048 125862 143462 156504 167816 183072 208672 215193 244096 251724 286924 313008 335632 366144 417344 430386 488192 503448 573848 626016 671264 732288 834688 860772 976384 1006896 1147696 1252032 1342528 1464576 1669376 1721544 2013792 2295392 2504064 2685056 2929152 3338752 3443088 4027584 4590784 5008128 5370112 6886176 8055168 9181568 10016256 10740224 12435547 13772352 16110336 18363136 24871094 27544704 32220672 36726272 37306641 49742188 55089408 74613282 99484376 110178816 136791017 149226564 198968752 273582034 298453128 397937504 410373051 547164068 596906256 795875008 820746102 1094328136 1193812512 1591750016 1641492204 2188656272 2387625024 3183500032 3282984408 4377312544 4775250048 6367000064 6565968816 8754625088 9550500096 13131937632 17509250176 19101000192 26263875264 35018500352 52527750528 70037000704 105055501056 210111002112