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12311220200202 = 235711328983491
BaseRepresentation
bin1011001100100110110111…
…1010000010001100001010
31121120221102002210100200000
42303021231322002030022
53103201334332401302
642103410235023430
72410312341036660
oct263115572021412
947527362710600
1012311220200202
113a17182939630
121469bb689ab76
136b3c34c536c1
14307c1ad50c30
1516539a66831c
hexb326de8230a

12311220200202 has 96 divisors (see below), whose sum is σ = 34487997433344. Its totient is φ = 3197719522800.

The previous prime is 12311220200107. The next prime is 12311220200207. The reversal of 12311220200202 is 20200202211321.

12311220200202 is a `hidden beast` number, since 1 + 231 + 12 + 20 + 200 + 202 = 666.

It is a super-2 number, since 2×123112202002022 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12311220200207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164454324 + ... + 164529167.

It is an arithmetic number, because the mean of its divisors is an integer number (359249973264).

Almost surely, 212311220200202 is an apocalyptic number.

12311220200202 is an abundant number, since it is smaller than the sum of its proper divisors (22176777233142).

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

12311220200202 is a wasteful number, since it uses less digits than its factorization.

12311220200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328983526 (or 328983514 counting only the distinct ones).

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

Adding to 12311220200202 its reverse (20200202211321), we get a palindrome (32511422411523).

The spelling of 12311220200202 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 891 1134 1386 1701 1782 2079 2673 3402 4158 5346 6237 12474 18711 37422 328983491 657966982 986950473 1973900946 2302884437 2960851419 3618818401 4605768874 5921702838 6908653311 7237636802 8882554257 10856455203 13817306622 17765108514 20725959933 21712910406 25331728807 26647662771 32569365609 41451919866 50663457614 53295325542 62177879799 65138731218 75995186421 79942988313 97708096827 124355759598 151990372842 159885976626 186533639397 195416193654 227985559263 293124290481 373067278794 455971118526 559600918191 586248580962 683956677789 879372871443 1119201836382 1367913355578 1758745742886 2051870033367 4103740066734 6155610100101 12311220200202