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1110131311212 = 223271117191239877
BaseRepresentation
bin10000001001111000111…
…110111000001001101100
310221010102221220200222100
4100021320332320021230
5121142022103424322
62205553130415100
7143130042311010
oct20117076701154
93833387820870
101110131311212
11398893203070
1215b198891490
13808b9a4cc91
143ba32c4c540
151dd2514adac
hex10278fb826c

1110131311212 has 288 divisors, whose sum is σ = 3899366714880. Its totient is φ = 257100687360.

The previous prime is 1110131311103. The next prime is 1110131311249. The reversal of 1110131311212 is 2121131310111.

1110131311212 is a `hidden beast` number, since 1 + 1 + 10 + 131 + 311 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275418 + ... + 1515294.

It is an arithmetic number, because the mean of its divisors is an integer number (13539467760).

Almost surely, 21110131311212 is an apocalyptic number.

1110131311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110131311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949683357440).

1110131311212 is an abundant number, since it is smaller than the sum of its proper divisors (2789235403668).

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

1110131311212 is a wasteful number, since it uses less digits than its factorization.

1110131311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239941 (or 1239936 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1110131311212 its reverse (2121131310111), we get a palindrome (3231262621323).

It can be divided in two parts, 11101 and 31311212, that added together give a palindrome (31322313).

The spelling of 1110131311212 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, three hundred eleven thousand, two hundred twelve".