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34212231102 = 2373106915551
BaseRepresentation
bin11111110111001101…
…010011011110111110
310021022022100102011110
4133313031103132332
51030031312343402
623414502502450
72320545111000
oct376715233676
9107268312143
1034212231102
1113566a04665
126769734a26
1332c2c6403a
141927a46370
15d5382256c
hex7f73537be

34212231102 has 64 divisors (see below), whose sum is σ = 79875072000. Its totient is φ = 9765151200.

The previous prime is 34212231071. The next prime is 34212231121. The reversal of 34212231102 is 20113221243.

It is a super-2 number, since 2×342122311022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192227 + ... + 2207777.

It is an arithmetic number, because the mean of its divisors is an integer number (1248048000).

Almost surely, 234212231102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212231102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39937536000).

34212231102 is an abundant number, since it is smaller than the sum of its proper divisors (45662840898).

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

34212231102 is a wasteful number, since it uses less digits than its factorization.

34212231102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16646 (or 16632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34212231102 its reverse (20113221243), we get a palindrome (54325452345).

The spelling of 34212231102 in words is "thirty-four billion, two hundred twelve million, two hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1069 2058 2138 3207 6414 7483 14966 15551 22449 31102 44898 46653 52381 93306 104762 108857 157143 217714 314286 326571 366667 653142 733334 761999 1100001 1523998 2200002 2285997 4571994 5333993 10667986 16001979 16624019 32003958 33248038 49872057 99744114 116368133 232736266 349104399 698208798 814576931 1629153862 2443730793 4887461586 5702038517 11404077034 17106115551 34212231102