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311121222102 = 23416319161687
BaseRepresentation
bin1001000011100000100…
…01010001100111010110
31002202001120110122110000
410201300101101213112
520044134013101402
6354532131312130
731322605516365
oct4416021214726
91082046418400
10311121222102
1110aa44901049
1250369a4b646
1323452bba4c2
14110b61697dc
15815dbe5c1c
hex48704519d6

311121222102 has 80 divisors (see below), whose sum is σ = 705102723072. Its totient is φ = 102529534320.

The previous prime is 311121222101. The next prime is 311121222121. The reversal of 311121222102 is 201222121113.

311121222102 is a `hidden beast` number, since 311 + 121 + 22 + 210 + 2 = 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 (311121222101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5012703 + ... + 5074389.

Almost surely, 2311121222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311121222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352551361536).

311121222102 is an abundant number, since it is smaller than the sum of its proper divisors (393981500970).

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

311121222102 is a wasteful number, since it uses less digits than its factorization.

311121222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62055 (or 62046 counting only the distinct ones).

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

Adding to 311121222102 its reverse (201222121113), we get a palindrome (512343343215).

The spelling of 311121222102 in words is "three hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 191 326 382 489 573 978 1146 1467 1719 2934 3438 4401 5157 8802 10314 13203 15471 26406 30942 31133 61687 62266 93399 123374 185061 186798 280197 370122 555183 560394 840591 1110366 1665549 1681182 2521773 3331098 4996647 5043546 9993294 10054981 11782217 20109962 23564434 30164943 35346651 60329886 70693302 90494829 106039953 180989658 212079906 271484487 318119859 542968974 636239718 814453461 954359577 1628906922 1908719154 1920501371 3841002742 5761504113 11523008226 17284512339 34569024678 51853537017 103707074034 155560611051 311121222102