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22110222210102 = 232133761230918131
BaseRepresentation
bin1010000011011111011111…
…11100001101010000110110
32220021201100101211202221200
411001233233330031100312
510344223213341210402
6115005143523353330
74441260626610165
oct501575774152066
986251311752850
1022110222210102
117054990030744
122591138822846
13c44ca60a7670
145661d76153dc
1528520e70121c
hex141beff0d436

22110222210102 has 192 divisors, whose sum is σ = 53879755849920. Its totient is φ = 6507585100800.

The previous prime is 22110222210091. The next prime is 22110222210107. The reversal of 22110222210102 is 20101222201122.

It is a happy number.

22110222210102 is a `hidden beast` number, since 22 + 110 + 222 + 210 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110222210107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1219461577 + ... + 1219479707.

It is an arithmetic number, because the mean of its divisors is an integer number (280623728385).

Almost surely, 222110222210102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110222210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939877924960).

22110222210102 is an abundant number, since it is smaller than the sum of its proper divisors (31769533639818).

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

22110222210102 is a wasteful number, since it uses less digits than its factorization.

22110222210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20559 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22110222210102 its reverse (20101222201122), we get a palindrome (42211444411224).

The spelling of 22110222210102 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, two hundred ten thousand, one hundred two".