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210111222120093 = 3378333140465169
BaseRepresentation
bin101111110001100001010100…
…110000011111111010011101
31000112221102210022220102101000
4233301201110300133322131
5210014430240330320333
62022511432442340513
762154014645256660
oct5761412460377235
91015842708812330
10210111222120093
1160a4773a331388
121b694b671ba739
139031531b81b88
1439c561a3836d7
15194571d534713
hexbf1854c1fe9d

210111222120093 has 64 divisors (see below), whose sum is σ = 361117651507200. Its totient is φ = 118258644176640.

The previous prime is 210111222120089. The next prime is 210111222120157. The reversal of 210111222120093 is 390021222111012.

210111222120093 is a `hidden beast` number, since 210 + 11 + 12 + 221 + 200 + 9 + 3 = 666.

It is not a de Polignac number, because 210111222120093 - 22 = 210111222120089 is a prime.

It is a super-3 number, since 3×2101112221200933 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210111222120013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15040188 + ... + 25424981.

It is an arithmetic number, because the mean of its divisors is an integer number (5642463304800).

Almost surely, 2210111222120093 is an apocalyptic number.

It is an amenable number.

210111222120093 is a deficient number, since it is larger than the sum of its proper divisors (151006429387107).

210111222120093 is a wasteful number, since it uses less digits than its factorization.

210111222120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40465599 (or 40465593 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 210111222120093 in words is "two hundred ten trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, ninety-three".

Divisors: 1 3 7 9 21 27 63 83 189 249 331 581 747 993 1743 2241 2317 2979 5229 6951 8937 15687 20853 27473 62559 82419 192311 247257 576933 741771 1730799 5192397 40465169 121395507 283256183 364186521 849768549 1092559563 2549305647 3358609027 7647916941 10075827081 13393970939 23510263189 30227481243 40181912817 70530789567 90682443729 93757796573 120545738451 211592368701 281273389719 361637215353 634777106103 843820169157 1111699587937 2531460507471 3335098763811 7781897115559 10005296291433 23345691346677 30015888874299 70037074040031 210111222120093