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11231411133432 = 2337197479708473
BaseRepresentation
bin1010001101110000010001…
…0001010101101111111000
31110202201020100112021100010
42203130010101111233320
52433003412222232212
635515350011141520
72236304560311660
oct243340421255770
943681210467303
1011231411133432
11364023a867616
121314880a448a0
1363616b2844c9
142ab8632711a0
1514724c59b03c
hexa3704455bf8

11231411133432 has 128 divisors (see below), whose sum is σ = 32320017100800. Its totient is φ = 3186015587328.

The previous prime is 11231411133401. The next prime is 11231411133487. The reversal of 11231411133432 is 23433111413211.

It is a happy number.

It is a super-2 number, since 2×112314111334322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11231411133432.

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, 15498748 + ... + 16207220.

It is an arithmetic number, because the mean of its divisors is an integer number (252500133600).

Almost surely, 211231411133432 is an apocalyptic number.

11231411133432 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 11231411133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160008550400).

11231411133432 is an abundant number, since it is smaller than the sum of its proper divisors (21088605967368).

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

11231411133432 is a wasteful number, since it uses less digits than its factorization.

11231411133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709165 (or 709161 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

Adding to 11231411133432 its reverse (23433111413211), we get a palindrome (34664522546643).

The spelling of 11231411133432 in words is "eleven trillion, two hundred thirty-one billion, four hundred eleven million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 479 591 788 958 1182 1379 1437 1576 1916 2364 2758 2874 3353 3832 4137 4728 5516 5748 6706 8274 10059 11032 11496 13412 16548 20118 26824 33096 40236 80472 94363 188726 283089 377452 566178 660541 708473 754904 1132356 1321082 1416946 1981623 2125419 2264712 2642164 2833892 3963246 4250838 4959311 5284328 5667784 7926492 8501676 9918622 14877933 15852984 17003352 19837244 29755866 39674488 59511732 119023464 139569181 279138362 339358567 418707543 558276724 678717134 837415086 976984267 1018075701 1116553448 1357434268 1674830172 1953968534 2036151402 2375509969 2714868536 2930952801 3349660344 3907937068 4072302804 4751019938 5861905602 7126529907 7815874136 8144605608 9502039876 11723811204 14253059814 19004079752 23447622408 28506119628 57012239256 66853637699 133707275398 200560913097 267414550796 401121826194 467975463893 534829101592 802243652388 935950927786 1403926391679 1604487304776 1871901855572 2807852783358 3743803711144 5615705566716 11231411133432