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1211221111002 = 237314338235659
BaseRepresentation
bin10001101000000010011…
…001110111000011011010
311021210101002012121111020
4101220002121313003122
5124321040101023002
62324232143543310
7153336121400250
oct21500231670332
94253332177436
101211221111002
11427748816951
121768ab5bab36
138a2aa27b666
14428a29145d0
152178eda42bc
hex11a026770da

1211221111002 has 128 divisors (see below), whose sum is σ = 2925554565120. Its totient is φ = 326968125120.

The previous prime is 1211221110919. The next prime is 1211221111049. The reversal of 1211221111002 is 2001111221121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214031649 + ... + 214037307.

It is an arithmetic number, because the mean of its divisors is an integer number (22855895040).

Almost surely, 21211221111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211221111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462777282560).

1211221111002 is an abundant number, since it is smaller than the sum of its proper divisors (1714333454118).

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

1211221111002 is a wasteful number, since it uses less digits than its factorization.

1211221111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211221111002 its reverse (2001111221121), we get a palindrome (3212332332123).

The spelling of 1211221111002 in words is "one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 43 62 86 93 129 186 217 258 301 434 602 651 903 1302 1333 1806 2666 3823 3999 5659 7646 7998 9331 11318 11469 16977 18662 22938 26761 27993 33954 39613 53522 55986 79226 80283 118513 118839 160566 164389 175429 237026 237678 243337 328778 350858 355539 486674 493167 526287 711078 730011 829591 986334 1052574 1150723 1228003 1460022 1659182 1703359 2301446 2456006 2488773 3406718 3452169 3684009 4977546 5096059 5110077 6904338 7368018 7543447 10192118 10220154 15086894 15288177 21634357 22630341 30576354 35672413 43268714 45260682 52804129 64903071 71344826 105608258 107017239 129806142 151440499 158412387 214034478 302880998 316824774 454321497 670665067 908642994 930277351 1341330134 1860554702 2011995201 2790832053 4023990402 4694655469 5581664106 6511941457 9389310938 13023882914 14083966407 19535824371 28167932814 28838597881 39071648742 57677195762 86515793643 173031587286 201870185167 403740370334 605610555501 1211221111002