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210122012111112 = 2334593575462917
BaseRepresentation
bin101111110001101011010111…
…111001000011000100001000
31000112222110122022011202110000
4233301223113321003010020
5210020114340100023422
62022520415245323000
762154546224550513
oct5761532771030410
91015873568152400
10210122012111112
1160a51276a70332
121b697078866460
13903256142954a
1439c5d613c7d7a
151945b5093dcac
hexbf1ad7e43108

210122012111112 has 80 divisors (see below), whose sum is σ = 588546214258860. Its totient is φ = 70039477892736.

The previous prime is 210122012111093. The next prime is 210122012111119. The reversal of 210122012111112 is 211111210221012.

It is a happy number.

210122012111112 is a `hidden beast` number, since 210 + 1 + 220 + 1 + 211 + 11 + 12 = 666.

210122012111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183102953654916 + 27019058456196 = 13531554^2 + 5197986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210122012111119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35731878 + ... + 41194794.

Almost surely, 2210122012111112 is an apocalyptic number.

It is an amenable number.

210122012111112 is an abundant number, since it is smaller than the sum of its proper divisors (378424202147748).

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

210122012111112 is a wasteful number, since it uses less digits than its factorization.

210122012111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522292 (or 5522279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210122012111112 its reverse (211111210221012), we get a palindrome (421233222332124).

The spelling of 210122012111112 in words is "two hundred ten trillion, one hundred twenty-two billion, twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 59357 118714 178071 237428 356142 474856 534213 712284 1068426 1424568 1602639 2136852 3205278 4273704 4807917 5462917 6410556 9615834 10925834 12821112 16388751 19231668 21851668 32777502 38463336 43703336 49166253 65555004 98332506 131110008 147498759 196665012 294997518 393330024 442496277 589995036 884992554 1179990072 1769985108 3539970216 324262364369 648524728738 972787093107 1297049457476 1945574186214 2594098914952 2918361279321 3891148372428 5836722558642 7782296744856 8755083837963 11673445117284 17510167675926 23346890234568 26265251513889 35020335351852 52530503027778 70040670703704 105061006055556 210122012111112