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102111200201322 = 23213480190892033
BaseRepresentation
bin10111001101111010011101…
…110100001100101001101010
3111101112201212002221220022200
4113031322131310030221222
5101340442214222420242
61001101123210001030
730336201505565064
oct2715723564145152
9441481762856280
10102111200201322
112a599131531094
12b551a02416176
1344c907773c1c0
141b302cc028734
15bc122ee2004c
hex5cde9dd0ca6a

102111200201322 has 48 divisors (see below), whose sum is σ = 238309096808328. Its totient is φ = 31412286259200.

The previous prime is 102111200201299. The next prime is 102111200201327. The reversal of 102111200201322 is 223102002111201.

102111200201322 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 120 + 0 + 201 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52868153560401 + 49243046640921 = 7271049^2 + 7017339^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102111200201295 and 102111200201304.

It is not an unprimeable number, because it can be changed into a prime (102111200201327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44322583 + ... + 46569450.

Almost surely, 2102111200201322 is an apocalyptic number.

102111200201322 is an abundant number, since it is smaller than the sum of its proper divisors (136197896607006).

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

102111200201322 is a wasteful number, since it uses less digits than its factorization.

102111200201322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90896855 (or 90896852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102111200201322 its reverse (223102002111201), we get a palindrome (325213202312523).

The spelling of 102111200201322 in words is "one hundred two trillion, one hundred eleven billion, two hundred million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4801 9602 14403 28806 43209 62413 86418 124826 187239 374478 561717 1123434 90892033 181784066 272676099 545352198 818028297 1181596429 1636056594 2363192858 3544789287 7089578574 10634367861 21268735722 436372650433 872745300866 1309117951299 2618235902598 3927353853897 5672844455629 7854707707794 11345688911258 17018533366887 34037066733774 51055600100661 102111200201322