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11122002212202 = 23272328031369183
BaseRepresentation
bin1010000111011000101011…
…1111011011010101101010
31110101020211110100012121100
42201312022333123111222
52424210330031242302
635353213254222230
72225352403653150
oct241661277332552
943336743305540
1011122002212202
1135a88a6331762
1212b7628054976
13628a5337b66b
142a64447913d0
1514449730cd1c
hexa1d8afdb56a

11122002212202 has 96 divisors (see below), whose sum is σ = 28747869216768. Its totient is φ = 3038466787488.

The previous prime is 11122002212197. The next prime is 11122002212213. The reversal of 11122002212202 is 20221220022111.

It is a happy number.

11122002212202 is a `hidden beast` number, since 1 + 1 + 1 + 220 + 0 + 221 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7438503 + ... + 8807685.

It is an arithmetic number, because the mean of its divisors is an integer number (299456971008).

Almost surely, 211122002212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122002212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373934608384).

11122002212202 is an abundant number, since it is smaller than the sum of its proper divisors (17625867004566).

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

11122002212202 is a wasteful number, since it uses less digits than its factorization.

11122002212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372024 (or 1372021 counting only the distinct ones).

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

Adding to 11122002212202 its reverse (20221220022111), we get a palindrome (31343222234313).

The spelling of 11122002212202 in words is "eleven trillion, one hundred twenty-two billion, two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2803 2898 5606 8409 16818 19621 25227 39242 50454 58863 64469 117726 128938 176589 193407 353178 386814 451283 580221 902566 1160442 1353849 1369183 2707698 2738366 4061547 4107549 8123094 8215098 9584281 12322647 19168562 24645294 28752843 31491209 57505686 62982418 86258529 94473627 172517058 188947254 220438463 283420881 440876926 566841762 661315389 1322630778 1983946167 3837819949 3967892334 7675639898 11513459847 23026919694 26864739643 34540379541 53729479286 69080759082 80594218929 88269858827 161188437858 176539717654 241782656787 264809576481 483565313574 529619152962 617889011789 794428729443 1235778023578 1588857458886 1853667035367 3707334070734 5561001106101 11122002212202