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11131925294116 = 221141728112
BaseRepresentation
bin1010000111111101101001…
…1100111110110000100100
31110102012110000100222221201
42201333122130332300210
52424341140333402431
635401534052252244
72226153325526134
oct241773234766044
943365400328851
1011131925294116
113602028690000
1212b9537311084
13629975147473
142a6b06610ac4
15144878575461
hexa1fda73ec24

11131925294116 has 135 divisors (see below), whose sum is σ = 22791593350785. Its totient is φ = 4756448822400.

The previous prime is 11131925294093. The next prime is 11131925294197. The reversal of 11131925294116 is 61149252913111.

It is a happy number.

The square root of 11131925294116 is 3336454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8666723844900 + 2465201449216 = 2943930^2 + 1570096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13726171351 + ... + 13726172161.

Almost surely, 211131925294116 is an apocalyptic number.

11131925294116 is the 3336454-th square number.

It is an amenable number.

11131925294116 is an abundant number, since it is smaller than the sum of its proper divisors (11659668056669).

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

11131925294116 is an frugal number, since it uses more digits than its factorization.

11131925294116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 841 counting only the distinct ones).

The product of its digits is 116640, while the sum is 46.

The spelling of 11131925294116 in words is "eleven trillion, one hundred thirty-one billion, nine hundred twenty-five million, two hundred ninety-four thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 748 811 1156 1331 1622 2057 2662 3179 3244 4114 5324 6358 8228 8921 12716 13787 14641 17842 22627 27574 29282 34969 35684 45254 55148 58564 69938 90508 98131 139876 151657 196262 234379 248897 303314 384659 392524 468758 497794 606628 657721 769318 937516 995588 1079441 1315442 1538636 1668227 2158882 2578169 2630884 3336454 4231249 4317764 5156338 6672908 7234931 8462498 10312676 11181257 11873851 14469862 16924996 18350497 22362514 23747702 28359859 28939724 36700994 44725028 47495404 56719718 73401988 79584241 113439436 122993827 159168482 190081369 201855467 245987654 311958449 318336964 380162738 403710934 491975308 623916898 760325476 807421868 875426651 1247833796 1352932097 1750853302 2090895059 2705864194 3431542939 3501706604 4181790118 5411728388 6863085878 8363580236 9629693161 13726171756 14882253067 19259386322 22999845649 29764506134 38518772644 45999691298 59529012268 91999382596 163704783737 252998302139 327409567474 505996604278 654819134948 1011993208556 2782981323529 5565962647058 11131925294116