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210210211112 = 231121731412067
BaseRepresentation
bin1100001111000110000…
…0010100010100101000
3202002120220121011001112
43003301200110110220
511421002303223422
6240322542205452
721121130212226
oct3036140242450
9662526534045
10210210211112
1181171202a00
12348a6b83888
1316a9072a605
14a262123b16
155704a06ee2
hex30f1814528

210210211112 has 96 divisors (see below), whose sum is σ = 473515580160. Its totient is φ = 87028339200.

The previous prime is 210210211091. The next prime is 210210211153. The reversal of 210210211112 is 211112012012.

210210211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 304103 + ... + 716169.

It is an arithmetic number, because the mean of its divisors is an integer number (4932453960).

Almost surely, 2210210211112 is an apocalyptic number.

210210211112 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 210210211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236757790080).

210210211112 is an abundant number, since it is smaller than the sum of its proper divisors (263305369048).

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

210210211112 is a wasteful number, since it uses less digits than its factorization.

210210211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412143 (or 412128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210210211112 its reverse (211112012012), we get a palindrome (421322223124).

Subtracting 210210211112 from its reverse (211112012012), we obtain a square (901800900 = 300302).

The spelling of 210210211112 in words is "two hundred ten billion, two hundred ten million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 121 124 136 187 242 248 341 374 484 527 682 748 968 1054 1364 1496 2057 2108 2728 3751 4114 4216 5797 7502 8228 11594 15004 16456 23188 30008 46376 63767 127534 255068 412067 510136 824134 1648268 3296536 4532737 7005139 9065474 12774077 14010278 18130948 25548154 28020556 36261896 49860107 51096308 56041112 77056529 99720214 102192616 140514847 154113058 199440428 217159309 281029694 308226116 398880856 434318618 562059388 616452232 847621819 868637236 1124118776 1545663317 1695243638 1737274472 2388752399 3091326634 3390487276 4777504798 6182653268 6780974552 9555009596 12365306536 19110019192 26276276389 52552552778 105105105556 210210211112