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2011021211232 = 2532112921889381
BaseRepresentation
bin11101010000111010001…
…101000111011001100000
321010020210112012101112200
4131100322031013121200
5230422032412224412
64135503403453200
7265201660153155
oct35207215073140
97106715171480
102011021211232
11705962056a20
122858bab27200
1311783b9a7537
146d4964c222c
15374a085b9dc
hex1d43a347660

2011021211232 has 144 divisors (see below), whose sum is σ = 6453865388880. Its totient is φ = 588386534400.

The previous prime is 2011021211207. The next prime is 2011021211263. The reversal of 2011021211232 is 2321121201102.

2011021211232 is a `hidden beast` number, since 201 + 1 + 0 + 21 + 211 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10852819 + ... + 11036562.

It is an arithmetic number, because the mean of its divisors is an integer number (44818509645).

Almost surely, 22011021211232 is an apocalyptic number.

2011021211232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011021211232 is an abundant number, since it is smaller than the sum of its proper divisors (4442844177648).

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

2011021211232 is a wasteful number, since it uses less digits than its factorization.

2011021211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889437 (or 21889426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2011021211232 its reverse (2321121201102), we get a palindrome (4332142412334).

The spelling of 2011021211232 in words is "two trillion, eleven billion, twenty-one million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 91872 21889381 43778762 65668143 87557524 131336286 175115048 197004429 240783191 262672572 350230096 394008858 481566382 525345144 634792049 700460192 722349573 788017716 963132764 1050690288 1269584098 1444699146 1576035432 1904376147 1926265528 2101380576 2167048719 2539168196 2889398292 3152070864 3808752294 3852531056 4334097438 5078336392 5713128441 5778796584 6304141728 6982712539 7617504588 7705062112 8668194876 10156672784 11426256882 11557593168 13965425078 15235009176 17336389752 20313345568 20948137617 22852513764 23115186336 27930850156 30470018352 34672779504 41896275234 45705027528 55861700312 60940036704 62844412851 69345559008 83792550468 91410055056 111723400624 125688825702 167585100936 182820110112 223446801248 251377651404 335170201872 502755302808 670340403744 1005510605616 2011021211232