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2230102010322 = 232372591533899
BaseRepresentation
bin100000011100111100011…
…100000010100111010010
321220012021122101002200200
4200130330130002213102
5243014222103312242
64424254505400030
7320056002215064
oct40347434024722
97805248332620
102230102010322
1178a86549a96a
12300260799016
131323b4114174
1479d1a771734
153d023ecb04c
hex2073c7029d2

2230102010322 has 72 divisors (see below), whose sum is σ = 5050181682000. Its totient is φ = 711016943328.

The previous prime is 2230102010303. The next prime is 2230102010329.

2230102010322 is a `hidden beast` number, since 2 + 230 + 102 + 0 + 10 + 322 = 666.

2230102010322 is nontrivially palindromic in base 10.

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 = 2230102010295 and 2230102010304.

It is not an unprimeable number, because it can be changed into a prime (2230102010329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686929 + ... + 2220827.

It is an arithmetic number, because the mean of its divisors is an integer number (70141412250).

Almost surely, 22230102010322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230102010322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525090841000).

2230102010322 is an abundant number, since it is smaller than the sum of its proper divisors (2820079671678).

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

2230102010322 is a wasteful number, since it uses less digits than its factorization.

2230102010322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534040 (or 1534000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 2230102010322 in words is "two trillion, two hundred thirty billion, one hundred two million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 59 74 111 118 177 222 333 354 531 666 1062 1369 2183 2738 4107 4366 6549 8214 12321 13098 19647 24642 39294 80771 161542 242313 484626 726939 1453878 1533899 3067798 4601697 9203394 13805091 27610182 56754263 90500041 113508526 170262789 181000082 271500123 340525578 510788367 543000246 814500369 1021576734 1629000738 2099907731 3348501517 4199815462 6299723193 6697003034 10045504551 12599446386 18899169579 20091009102 30136513653 37798339158 60273027306 123894556129 247789112258 371683668387 743367336774 1115051005161 2230102010322