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1110110202112 = 28137211150011
BaseRepresentation
bin10000001001110111101…
…110010110100100000000
310221010101111012020201211
4100021313232112210000
5121142001202431422
62205551054135504
7143126365012312
oct20116756264400
93833344166654
101110110202112
113988822a552a
1215b1917b1594
13808b556baa2
143ba301157b2
151dd2337b577
hex10277b96900

1110110202112 has 72 divisors (see below), whose sum is σ = 2242651797792. Its totient is φ = 548388556800.

The previous prime is 1110110202107. The next prime is 1110110202119. The reversal of 1110110202112 is 2112020110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110110202092 and 1110110202101.

It is not an unprimeable number, because it can be changed into a prime (1110110202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7325187 + ... + 7475197.

It is an arithmetic number, because the mean of its divisors is an integer number (31147941636).

Almost surely, 21110110202112 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 1110110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121325898896).

1110110202112 is an abundant number, since it is smaller than the sum of its proper divisors (1132541595680).

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

1110110202112 is a wasteful number, since it uses less digits than its factorization.

1110110202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150375 (or 150361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1110110202112 its reverse (2112020110111), we get a palindrome (3222130312223).

The spelling of 1110110202112 in words is "one trillion, one hundred ten billion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 137 211 256 274 422 548 844 1096 1688 2192 3376 4384 6752 8768 13504 17536 27008 28907 35072 54016 57814 115628 150011 231256 300022 462512 600044 925024 1200088 1850048 2400176 3700096 4800352 7400192 9600704 19201408 20551507 31652321 38402816 41103014 63304642 82206028 126609284 164412056 253218568 328824112 506437136 657648224 1012874272 1315296448 2025748544 2630592896 4051497088 4336367977 5261185792 8102994176 8672735954 17345471908 34690943816 69381887632 138763775264 277527550528 555055101056 1110110202112