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11300012332122 = 2337892294395689
BaseRepresentation
bin1010010001101111110100…
…1110001001010001011010
31111000021022021210020112210
42210123331032021101122
52440114411124111442
640011053133015550
72244253561010463
oct244337516112132
944007267706483
1011300012332122
113667343409548
1213260273245b6
1363c78197cb77
142b0cd01a7d6a
15148e14ea219c
hexa46fd38945a

11300012332122 has 128 divisors (see below), whose sum is σ = 23631981120000. Its totient is φ = 3599015473152.

The previous prime is 11300012332057. The next prime is 11300012332139. The reversal of 11300012332122 is 22123321000311.

11300012332122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113000123321222 (a number of 27 digits) contains 22 as substring.

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, 1986288654 + ... + 1986294342.

It is an arithmetic number, because the mean of its divisors is an integer number (184624852500).

Almost surely, 211300012332122 is an apocalyptic number.

11300012332122 is an abundant number, since it is smaller than the sum of its proper divisors (12331968787878).

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

11300012332122 is a wasteful number, since it uses less digits than its factorization.

11300012332122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488.

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

Adding to 11300012332122 its reverse (22123321000311), we get a palindrome (33423333332433).

The spelling of 11300012332122 in words is "eleven trillion, three hundred billion, twelve million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 89 111 178 222 229 267 439 458 534 687 878 1317 1374 2634 3293 5689 6586 8473 9879 11378 16243 16946 17067 19758 20381 25419 32486 34134 39071 40762 48729 50838 61143 78142 97458 100531 117213 122286 201062 210493 234426 301593 420986 506321 603186 631479 754097 1012642 1262958 1302781 1445627 1508194 1518963 2262291 2497471 2605562 2891254 3037926 3719647 3908343 4336881 4524582 4994942 7439294 7492413 7816686 8673762 8947259 11158941 14984826 17894518 18733877 22317882 26841777 37467754 48202897 53683554 56201631 92406427 96405794 112403262 115947509 144608691 184812854 222274919 231895018 277219281 289217382 331048583 347842527 444549838 554438562 571920859 662097166 666824757 695685054 993145749 1143841718 1333649514 1715762577 1986291498 3431525154 4290057833 8224172003 8580115666 12870173499 16448344006 21161071783 24672516009 25740346998 42322143566 49345032018 50900956451 63483215349 101801912902 126966430698 152702869353 305405738706 1883335388687 3766670777374 5650006166061 11300012332122