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11121721368 = 23317375912487
BaseRepresentation
bin10100101101110100…
…00000000000011000
31001201002110222120020
422112322000000120
5140234130040433
65035333030440
7542415033432
oct122672000030
931632428506
1011121721368
114797a1596a
1221a4785420
131083204c24
14777117652
154515d4cb3
hex296e80018

11121721368 has 128 divisors (see below), whose sum is σ = 30750451200. Its totient is φ = 3337058304.

The previous prime is 11121721327. The next prime is 11121721393. The reversal of 11121721368 is 86312712111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884421 + ... + 896907.

It is an arithmetic number, because the mean of its divisors is an integer number (240237900).

Almost surely, 211121721368 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 11121721368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375225600).

11121721368 is an abundant number, since it is smaller than the sum of its proper divisors (19628729832).

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

11121721368 is a wasteful number, since it uses less digits than its factorization.

11121721368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609 (or 12605 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The spelling of 11121721368 in words is "eleven billion, one hundred twenty-one million, seven hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 59 68 74 102 111 118 136 148 177 204 222 236 296 354 408 444 472 629 708 888 1003 1258 1416 1887 2006 2183 2516 3009 3774 4012 4366 5032 6018 6549 7548 8024 8732 12036 12487 13098 15096 17464 24072 24974 26196 37111 37461 49948 52392 74222 74922 99896 111333 148444 149844 212279 222666 296888 299688 424558 445332 462019 636837 736733 849116 890664 924038 1273674 1386057 1473466 1698232 1848076 2210199 2547348 2772114 2946932 3696152 4420398 5094696 5544228 5893864 7854323 8840796 11088456 12524461 15708646 17681592 23562969 25048922 27259121 31417292 37573383 47125938 50097844 54518242 62834584 75146766 81777363 94251876 100195688 109036484 150293532 163554726 188503752 218072968 300587064 327109452 463405057 654218904 926810114 1390215171 1853620228 2780430342 3707240456 5560860684 11121721368