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1021200221132 = 2271389181174157
BaseRepresentation
bin11101101110001000100…
…01101100001111001100
310121121220012101020121022
432313010101230033030
5113212404224034012
62101044412453312
7133531202441630
oct16670421541714
93547805336538
101021200221132
113640a79a1903
12145ab9a7a238
13753b65144a0
14375d7cb8dc0
151b86ca63472
hexedc446c3cc

1021200221132 has 96 divisors (see below), whose sum is σ = 2236523103360. Its totient is φ = 397242869760.

The previous prime is 1021200221089. The next prime is 1021200221177. The reversal of 1021200221132 is 2311220021201.

1021200221132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10212002211322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1021200221132.

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, 5776598 + ... + 5950754.

It is an arithmetic number, because the mean of its divisors is an integer number (23297115660).

Almost surely, 21021200221132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021200221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118261551680).

1021200221132 is an abundant number, since it is smaller than the sum of its proper divisors (1215322882228).

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

1021200221132 is a wasteful number, since it uses less digits than its factorization.

1021200221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174451 (or 174449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1021200221132 its reverse (2311220021201), we get a palindrome (3332420242333).

The spelling of 1021200221132 in words is "one trillion, twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 178 181 182 356 362 364 623 724 1157 1246 1267 2314 2353 2492 2534 4628 4706 5068 8099 9412 16109 16198 16471 32218 32396 32942 64436 65884 112763 174157 209417 225526 348314 418834 451052 696628 837668 1219099 1465919 2264041 2438198 2931838 4528082 4876396 5863676 9056164 15499973 15848287 30999946 31522417 31696574 61999892 63044834 63393148 108499811 126089668 201499649 216999622 220656919 402999298 409791421 433999244 441313838 805998596 819582842 882627676 1410497543 1639165684 2805495113 2820995086 2868539947 5610990226 5641990172 5737079894 11221980452 11474159788 19638465791 36471436469 39276931582 72942872938 78553863164 145885745876 255300055283 510600110566 1021200221132