Search a number
-
+
1112111112100 = 225211121111121
BaseRepresentation
bin10000001011101110111…
…111001101111110100100
310221022112221021000020011
4100023232333031332210
5121210100421041400
62210521412420004
7143230102324162
oct20135677157644
93838487230204
101112111112100
1139970980384a
1215b64b917604
1380b43c743b1
143bb7db6a232
151ddddd6d8ba
hex102eefcdfa4

1112111112100 has 18 divisors (see below), whose sum is σ = 2413281113474. Its totient is φ = 444844444800.

The previous prime is 1112111112061. The next prime is 1112111112107. The reversal of 1112111112100 is 12111112111.

It can be written as a sum of positive squares in 3 ways, for example, as 157785317284 + 954325794816 = 397222^2 + 976896^2 .

It is a super-2 number, since 2×11121111121002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1112111112107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5560555461 + ... + 5560555660.

Almost surely, 21112111112100 is an apocalyptic number.

1112111112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112111112100 is an abundant number, since it is smaller than the sum of its proper divisors (1301170001374).

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

1112111112100 is a wasteful number, since it uses less digits than its factorization.

1112111112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121111135 (or 11121111128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1112111112100 its reverse (12111112111), we get a palindrome (1124222224211).

The spelling of 1112111112100 in words is "one trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11121111121 22242222242 44484444484 55605555605 111211111210 222422222420 278027778025 556055556050 1112111112100