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1114003442112 = 263114789126097
BaseRepresentation
bin10000001101011111110…
…001111000100111000000
310221111102211000022222220
4100031133301320213000
5121222434340121422
62211433251531040
7143325021010251
oct20153761704700
93844384008886
101114003442112
1139a49a9a0350
1215ba995b9a80
1381086020ab2
143bcbd1d8b28
151dea0063e5c
hex1035fc789c0

1114003442112 has 224 divisors, whose sum is σ = 3320755522560. Its totient is φ = 326679429120.

The previous prime is 1114003442087. The next prime is 1114003442137. The reversal of 1114003442112 is 2112443004111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1114003442087) and next prime (1114003442137).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8771448 + ... + 8897544.

It is an arithmetic number, because the mean of its divisors is an integer number (14824801440).

Almost surely, 21114003442112 is an apocalyptic number.

1114003442112 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 1114003442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660377761280).

1114003442112 is an abundant number, since it is smaller than the sum of its proper divisors (2206752080448).

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

1114003442112 is a wasteful number, since it uses less digits than its factorization.

1114003442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126259 (or 126249 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1114003442112 its reverse (2112443004111), we get a palindrome (3226446446223).

The spelling of 1114003442112 in words is "one trillion, one hundred fourteen billion, three million, four hundred forty-two thousand, one hundred twelve".