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22221312102 = 232111741161017
BaseRepresentation
bin10100101100011111…
…100101000001100110
32010100122022121121100
4110230133211001212
5331002123441402
614112555500530
71414444015323
oct245437450146
963318277540
1022221312102
119473395750
124381a57746
13213195b9b2
14110b30db4a
158a0c9771c
hex52c7e5066

22221312102 has 96 divisors (see below), whose sum is σ = 56969456544. Its totient is φ = 6183014400.

The previous prime is 22221312059. The next prime is 22221312109. The reversal of 22221312102 is 20121312222.

22221312102 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (22221312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57498 + ... + 218514.

It is an arithmetic number, because the mean of its divisors is an integer number (593431839).

Almost surely, 222221312102 is an apocalyptic number.

22221312102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221312102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484728272).

22221312102 is an abundant number, since it is smaller than the sum of its proper divisors (34748144442).

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

22221312102 is a wasteful number, since it uses less digits than its factorization.

22221312102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161094 (or 161091 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22221312102 its reverse (20121312222), we get a palindrome (42342624324).

The spelling of 22221312102 in words is "twenty-two billion, two hundred twenty-one million, three hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 41 51 66 82 99 102 123 153 187 198 246 306 369 374 451 561 697 738 902 1122 1353 1394 1683 2091 2706 3366 4059 4182 6273 7667 8118 12546 15334 23001 46002 69003 138006 161017 322034 483051 966102 1449153 1771187 2737289 2898306 3542374 5313561 5474578 6601697 8211867 10627122 13203394 15940683 16423734 19805091 24635601 30110179 31881366 39610182 49271202 59415273 60220358 72618667 90330537 112228849 118830546 145237334 180661074 217856001 224457698 270991611 336686547 435712002 541983222 653568003 673373094 1010059641 1234517339 1307136006 2020119282 2469034678 3703552017 7407104034 11110656051 22221312102