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1121411930968 = 2371721118313049
BaseRepresentation
bin10000010100011001010…
…111000001101101011000
310222012120010101120011001
4100110121113001231120
5121333122423242333
62215100341314344
7144006430065160
oct20243127015530
93865503346131
101121411930968
113a265188870a
121614067059b4
1381996b4b104
143c3c30c95a0
151e28566bb7d
hex105195c1b58

1121411930968 has 128 divisors (see below), whose sum is σ = 2558673792000. Its totient is φ = 449797017600.

The previous prime is 1121411930959. The next prime is 1121411930981. The reversal of 1121411930968 is 8690391141211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367795108 + ... + 367798156.

It is an arithmetic number, because the mean of its divisors is an integer number (19989639000).

Almost surely, 21121411930968 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 1121411930968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279336896000).

1121411930968 is an abundant number, since it is smaller than the sum of its proper divisors (1437261861032).

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

1121411930968 is a wasteful number, since it uses less digits than its factorization.

1121411930968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The spelling of 1121411930968 in words is "one trillion, one hundred twenty-one billion, four hundred eleven million, nine hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 211 238 422 476 844 952 1477 1688 1831 2954 3049 3587 3662 5908 6098 7174 7324 11816 12196 12817 14348 14648 21343 24392 25109 25634 28696 31127 42686 50218 51268 51833 62254 85372 100436 102536 103666 124508 170744 200872 207332 217889 249016 362831 386341 414664 435778 643339 725662 772682 871556 1286678 1451324 1545364 1743112 2573356 2704387 2902648 3090728 4503373 5146712 5408774 5582719 6567797 9006746 10817548 10936763 11165438 13135594 18013492 21635096 21873526 22330876 26271188 36026984 39079033 43747052 44661752 45974579 52542376 76557341 78158066 87494104 91949158 94906223 153114682 156316132 183898316 189812446 306229364 312632264 367796632 379624892 612458728 664343561 759249784 1177953709 1328687122 2355907418 2657374244 4711814836 5314748488 8245675963 9423629672 16491351926 20025213053 32982703852 40050426106 65965407704 80100852212 140176491371 160201704424 280352982742 560705965484 1121411930968