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11125135613116 = 22717179351137189
BaseRepresentation
bin1010000111100100010111…
…0000011001110010111100
31110101112220211101110121001
42201321011300121302330
52424233234204104431
635354452230020044
72225523142302610
oct241710560316274
943345824343531
1011125135613116
1135aa164027198
1212b81614a7624
1362913259c645
142a66609a1340
151445cc452e61
hexa1e45c19cbc

11125135613116 has 96 divisors (see below), whose sum is σ = 23698110643200. Its totient is φ = 4460989178880.

The previous prime is 11125135613071. The next prime is 11125135613149. The reversal of 11125135613116 is 61131653152111.

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, 299132650 + ... + 299169838.

It is an arithmetic number, because the mean of its divisors is an integer number (246855319200).

Almost surely, 211125135613116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125135613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849055321600).

11125135613116 is an abundant number, since it is smaller than the sum of its proper divisors (12572975030084).

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

11125135613116 is a wasteful number, since it uses less digits than its factorization.

11125135613116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40907 (or 40905 counting only the distinct ones).

The product of its digits is 16200, while the sum is 37.

Adding to 11125135613116 its reverse (61131653152111), we get a palindrome (72256788765227).

The spelling of 11125135613116 in words is "eleven trillion, one hundred twenty-five billion, one hundred thirty-five million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 179 238 358 476 716 1253 2506 3043 3511 5012 6086 7022 12172 14044 21301 24577 37189 42602 49154 59687 74378 85204 98308 119374 148756 238748 260323 417809 520646 628469 632213 835618 1041292 1256938 1264426 1671236 2513876 2528852 4399283 4425491 6656831 8798566 8850982 10683973 13313662 17597132 17701964 21367946 26627324 42735892 46597817 74787811 93195634 113166127 130570579 149575622 186391268 226332254 261141158 299151244 452664508 522282316 792162889 913994053 1584325778 1827988106 2219699843 3168651556 3655976212 4439399686 8878799372 15537898901 23372133641 31075797802 46744267282 62151595604 93488534564 163604935487 327209870974 397326271897 654419741948 794652543794 1589305087588 2781283903279 5562567806558 11125135613116