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11234130023100 = 22352291578224709
BaseRepresentation
bin1010001101111010011001…
…0101000101001010111100
31110202222020211121011210110
42203132212111011022330
52433024444241214400
635520515454310020
72236432133431005
oct243364625051274
943688224534713
1011234130023100
113641405585676
1213152bb4b8310
136364b2652b6a
142aba403c01ac
1514735b112e50
hexa37a65452bc

11234130023100 has 144 divisors (see below), whose sum is σ = 33839088847200. Its totient is φ = 2874041963520.

The previous prime is 11234130023087. The next prime is 11234130023119. The reversal of 11234130023100 is 132003143211.

11234130023100 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 2×112341300231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2746455 + ... + 5478254.

It is an arithmetic number, because the mean of its divisors is an integer number (234993672550).

Almost surely, 211234130023100 is an apocalyptic number.

11234130023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234130023100 is an abundant number, since it is smaller than the sum of its proper divisors (22604958824100).

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

11234130023100 is a wasteful number, since it uses less digits than its factorization.

11234130023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224912 (or 8224905 counting only the distinct ones).

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

Adding to 11234130023100 its reverse (132003143211), we get a palindrome (11366133166311).

The spelling of 11234130023100 in words is "eleven trillion, two hundred thirty-four billion, one hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 157 174 290 300 314 348 435 471 580 628 725 785 870 942 1450 1570 1740 1884 2175 2355 2900 3140 3925 4350 4553 4710 7850 8700 9106 9420 11775 13659 15700 18212 22765 23550 27318 45530 47100 54636 68295 91060 113825 136590 227650 273180 341475 455300 682950 1365900 8224709 16449418 24674127 32898836 41123545 49348254 82247090 98696508 123370635 164494180 205617725 238516561 246741270 411235450 477033122 493482540 616853175 715549683 822470900 954066244 1192582805 1233706350 1291279313 1431099366 2385165610 2467412700 2582558626 2862198732 3577748415 3873837939 4770331220 5165117252 5962914025 6456396565 7155496830 7747675878 11925828050 12912793130 14310993660 15495351756 17888742075 19369189695 23851656100 25825586260 32281982825 35777484150 37447100077 38738379390 64563965650 71554968300 74894200154 77476758780 96845948475 112341300231 129127931300 149788400308 187235500385 193691896950 224682600462 374471000770 387383793900 449365200924 561706501155 748942001540 936177501925 1123413002310 1872355003850 2246826004620 2808532505775 3744710007700 5617065011550 11234130023100