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11122310302032 = 2432337290993601
BaseRepresentation
bin1010000111011001110101…
…0110101100100101010000
31110101021121221001210101210
42201312131112230211100
52424211442414131112
635353304021500120
72225363134455216
oct241663526544520
943337557053353
1011122310302032
1135a8a44231156
1212b76b3271640
13628aa214c737
142a647366ccb6
151444b43b8b3c
hexa1d9d5ac950

11122310302032 has 160 divisors (see below), whose sum is σ = 30803115260160. Its totient is φ = 3449176473600.

The previous prime is 11122310302001. The next prime is 11122310302049. The reversal of 11122310302032 is 23020301322111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118780032 + ... + 118873632.

It is an arithmetic number, because the mean of its divisors is an integer number (192519470376).

Almost surely, 211122310302032 is an apocalyptic number.

11122310302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122310302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401557630080).

11122310302032 is an abundant number, since it is smaller than the sum of its proper divisors (19680804958128).

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

11122310302032 is a wasteful number, since it uses less digits than its factorization.

11122310302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96581 (or 96575 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11122310302032 its reverse (23020301322111), we get a palindrome (34142611624143).

The spelling of 11122310302032 in words is "eleven trillion, one hundred twenty-two billion, three hundred ten million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1702 1776 2553 2909 3404 5106 5818 6808 8727 10212 11636 13616 17454 20424 23272 34908 40848 46544 66907 69816 93601 107633 133814 139632 187202 200721 215266 267628 280803 322899 374404 401442 430532 535256 561606 645798 748808 802884 861064 1070512 1123212 1291596 1497616 1605768 1722128 2152823 2246424 2475559 2583192 3211536 3463237 4305646 4492848 4951118 5166384 6458469 6926474 7426677 8611292 9902236 10389711 12916938 13852948 14853354 17222584 19804472 20779422 25833876 27705896 29706708 34445168 39608944 41558844 51667752 55411792 59413416 79654451 83117688 103335504 118826832 159308902 166235376 238963353 272285309 318617804 477926706 544570618 637235608 816855927 955853412 1089141236 1274471216 1633711854 1911706824 2178282472 3267423708 3823413648 4356564944 6262562107 6534847416 10074556433 12525124214 13069694832 18787686321 20149112866 25050248428 30223669299 37575372642 40298225732 50100496856 60447338598 75150745284 80596451464 100200993712 120894677196 150301490568 161192902928 231714797959 241789354392 300602981136 463429595918 483578708784 695144393877 926859191836 1390288787754 1853718383672 2780577575508 3707436767344 5561155151016 11122310302032