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2001220021112 = 2313316155718269
BaseRepresentation
bin11101000111110010000…
…000100010101101111000
321002022111110112100022012
4131013302000202231320
5230241444311133422
64131203042145052
7264404045340644
oct35076200425570
97068443470265
102001220021112
117017925917a4
12283a24652188
13116939248760
146cc06911c24
15370ca1704e2
hex1d1f2022b78

2001220021112 has 128 divisors (see below), whose sum is σ = 4247503142400. Its totient is φ = 877565491200.

The previous prime is 2001220021111. The next prime is 2001220021133. The reversal of 2001220021112 is 2111200221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001220021111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109532714 + ... + 109550982.

It is an arithmetic number, because the mean of its divisors is an integer number (33183618300).

Almost surely, 22001220021112 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 2001220021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123751571200).

2001220021112 is an abundant number, since it is smaller than the sum of its proper divisors (2246283121288).

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

2001220021112 is a wasteful number, since it uses less digits than its factorization.

2001220021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18937 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001220021112 its reverse (2111200221002), we get a palindrome (4112420242114).

The spelling of 2001220021112 in words is "two trillion, one billion, two hundred twenty million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 61 62 104 122 124 244 248 403 488 557 793 806 1114 1586 1612 1891 2228 3172 3224 3782 4456 6344 7241 7564 14482 15128 17267 18269 24583 28964 33977 34534 36538 49166 57928 67954 69068 73076 98332 135908 138136 146152 196664 224471 237497 271816 441701 448942 474994 566339 883402 897884 949988 1053287 1114409 1132678 1766804 1795768 1899976 2106574 2228818 2265356 3533608 4213148 4457636 4530712 7362407 8426296 8915272 10175833 13692731 14487317 14724814 20351666 27385462 28974634 29449628 34546679 40703332 54770924 57949268 58899256 69093358 81406664 109541848 115898536 132285829 138186716 264571658 276373432 315450823 449106827 529143316 620725813 630901646 898213654 1058286632 1241451626 1261803292 1796427308 2482903252 2523606584 3592854616 4100860699 4965806504 8069435569 8201721398 16138871138 16403442796 19242500203 32277742276 32806885592 38485000406 64555484552 76970000812 153940001624 250152502639 500305005278 1000610010556 2001220021112