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111331009452 = 223135326475087
BaseRepresentation
bin110011110101111011…
…0000110001110101100
3101122100211221021002110
41213223312012032230
53311001214300302
6123051133524020
711020612652325
oct1475366061654
9348324837073
10111331009452
11432404a8223
12196b0643610
13a6631a1470
145561c9744c
152d68db0b6c
hex19ebd863ac

111331009452 has 96 divisors (see below), whose sum is σ = 285196972032. Its totient is φ = 33590059776.

The previous prime is 111331009441. The next prime is 111331009459. The reversal of 111331009452 is 254900133111.

It is not an unprimeable number, because it can be changed into a prime (111331009459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21882853 + ... + 21887939.

It is an arithmetic number, because the mean of its divisors is an integer number (2970801792).

Almost surely, 2111331009452 is an apocalyptic number.

111331009452 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 111331009452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598486016).

111331009452 is an abundant number, since it is smaller than the sum of its proper divisors (173865962580).

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

111331009452 is a wasteful number, since it uses less digits than its factorization.

111331009452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 111331009452 in words is "one hundred eleven billion, three hundred thirty-one million, nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2647 2756 4134 5087 5294 7941 8268 10174 10588 15261 15882 20348 30522 31764 34411 61044 66131 68822 103233 132262 137644 140291 198393 206466 264524 269611 280582 396786 412932 420873 539222 561164 793572 808833 841746 1078444 1617666 1683492 1823783 3235332 3504943 3647566 5471349 7009886 7295132 10514829 10942698 13465289 14019772 21029658 21885396 26930578 40395867 42059316 53861156 80791734 161583468 175048757 350097514 525146271 700195028 713660317 1050292542 1427320634 2100585084 2140980951 2854641268 4281961902 8563923804 9277584121 18555168242 27832752363 37110336484 55665504726 111331009452