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11121205344132 = 22313797287931069
BaseRepresentation
bin1010000111010101101101…
…1111100111011110000100
31110101011202220220010010010
42201311123133213132010
52424202212032003012
635353002230430220
72225323556462502
oct241653337473604
943334686803103
1011121205344132
1135a852753aa04
1212b7445202370
136289572541b0
142a63aa9dd672
1514444c3a3c3c
hexa1d5b7e7784

11121205344132 has 96 divisors (see below), whose sum is σ = 27991276185600. Its totient is φ = 3416318802432.

The previous prime is 11121205344131. The next prime is 11121205344149. The reversal of 11121205344132 is 23144350212111.

It is a self number, because there is not a number n which added to its sum of digits gives 11121205344132.

It is not an unprimeable number, because it can be changed into a prime (11121205344131) 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, 357936294 + ... + 357967362.

It is an arithmetic number, because the mean of its divisors is an integer number (291575793600).

Almost surely, 211121205344132 is an apocalyptic number.

11121205344132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121205344132 is an abundant number, since it is smaller than the sum of its proper divisors (16870070841468).

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

11121205344132 is a wasteful number, since it uses less digits than its factorization.

11121205344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34765 (or 34763 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11121205344132 its reverse (23144350212111), we get a palindrome (34265555556243).

The spelling of 11121205344132 in words is "eleven trillion, one hundred twenty-one billion, two hundred five million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 797 1594 2391 2879 3188 4782 5758 8637 9564 10361 11516 17274 20722 31069 31083 34548 37427 41444 62138 62166 74854 93207 112281 124276 124332 149708 186414 224562 372828 403897 449124 807794 1211691 1615588 2294563 2423382 4589126 4846764 6883689 9178252 13767378 24761993 27534756 29829319 49523986 59658638 74285979 89447651 89487957 99047972 119317276 148571958 178895302 178975914 268342953 297143916 321905909 357790604 357951828 536685906 643811818 965717727 1073371812 1162819463 1287623636 1931435454 2325638926 3488458389 3862870908 4651277852 6976916778 13953833556 71289777847 142579555694 213869333541 285159111388 427738667082 855477334164 926767112011 1853534224022 2780301336033 3707068448044 5560602672066 11121205344132