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11223334144032 = 2532923916867657
BaseRepresentation
bin1010001101010010001011…
…0110000100100000100000
31110201221101110020200211120
42203110202312010200200
52432340342020102112
635511532321212240
72235600453114633
oct243244266044040
943657343220746
1011223334144032
11363787559496a
1213131a7a91080
13635481ac643a
142ab2d8685c1a
15146e28443e8c
hexa3522d84820

11223334144032 has 96 divisors (see below), whose sum is σ = 30604678675200. Its totient is φ = 3596993906688.

The previous prime is 11223334144027. The next prime is 11223334144097. The reversal of 11223334144032 is 23044143332211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112233341440322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11223334143984 and 11223334144002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7768453 + ... + 9099204.

It is an arithmetic number, because the mean of its divisors is an integer number (318798736200).

Almost surely, 211223334144032 is an apocalyptic number.

11223334144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11223334144032 is an abundant number, since it is smaller than the sum of its proper divisors (19381344531168).

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

11223334144032 is a wasteful number, since it uses less digits than its factorization.

11223334144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867938 (or 16867930 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 11223334144032 its reverse (23044143332211), we get a palindrome (34267477476243).

The spelling of 11223334144032 in words is "eleven trillion, two hundred twenty-three billion, three hundred thirty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 239 348 464 478 696 717 928 956 1392 1434 1912 2784 2868 3824 5736 6931 7648 11472 13862 20793 22944 27724 41586 55448 83172 110896 166344 221792 332688 665376 16867657 33735314 50602971 67470628 101205942 134941256 202411884 269882512 404823768 489162053 539765024 809647536 978324106 1467486159 1619295072 1956648212 2934972318 3913296424 4031370023 5869944636 7826592848 8062740046 11739889272 12094110069 15653185696 16125480092 23479778544 24188220138 32250960184 46959557088 48376440276 64501920368 96752880552 116909730667 129003840736 193505761104 233819461334 350729192001 387011522208 467638922668 701458384002 935277845336 1402916768004 1870555690672 2805833536008 3741111381344 5611667072016 11223334144032