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1110223031112 = 233213291241209
BaseRepresentation
bin10000001001111110011…
…100110000101101001000
310221010200100111120000200
4100021332130300231020
5121142214043443422
62210010204332200
7143132235025656
oct20117634605510
93833610446020
101110223031112
1139892aa59638
1215b203544060
1380902a54a00
143ba410c5dd6
151dd2d2172ac
hex1027e730b48

1110223031112 has 72 divisors (see below), whose sum is σ = 3255942578850. Its totient is φ = 341607082752.

The previous prime is 1110223031107. The next prime is 1110223031119. The reversal of 1110223031112 is 2111303220111.

1110223031112 is a `hidden beast` number, since 1 + 110 + 2 + 230 + 311 + 12 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 688458510756 + 421764520356 = 829734^2 + 649434^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1110223031119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45608437 + ... + 45632772.

Almost surely, 21110223031112 is an apocalyptic number.

1110223031112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110223031112 is an abundant number, since it is smaller than the sum of its proper divisors (2145719547738).

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

1110223031112 is a wasteful number, since it uses less digits than its factorization.

1110223031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91241247 (or 91241227 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1110223031112 its reverse (2111303220111), we get a palindrome (3221526251223).

The spelling of 1110223031112 in words is "one trillion, one hundred ten billion, two hundred twenty-three million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 91241209 182482418 273723627 364964836 547447254 729929672 821170881 1094894508 1186135717 1642341762 2189789016 2372271434 3284683524 3558407151 4744542868 6569367048 7116814302 9489085736 10675221453 14233628604 15419764321 21350442906 28467257208 30839528642 42700885812 46259292963 61679057284 85401771624 92518585926 123358114568 138777878889 185037171852 277555757778 370074343704 555111515556 1110223031112