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12103114104 = 23323779131439
BaseRepresentation
bin10110100010110011…
…01101110101111000
31011020111010220022100
423101121231311320
5144241344122404
65320551423400
7605632525644
oct132131556570
934214126270
1012103114104
11515098a844
122419384b60
1311ab6288a3
1482b5bdc24
154ac83cd39
hex2d166dd78

12103114104 has 192 divisors, whose sum is σ = 34429824000. Its totient is φ = 3837300480.

The previous prime is 12103114099. The next prime is 12103114109. The reversal of 12103114104 is 40141130121.

It is an interprime number because it is at equal distance from previous prime (12103114099) and next prime (12103114109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103114109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27569517 + ... + 27569955.

It is an arithmetic number, because the mean of its divisors is an integer number (179322000).

Almost surely, 212103114104 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 12103114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214912000).

12103114104 is an abundant number, since it is smaller than the sum of its proper divisors (22326709896).

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

12103114104 is a wasteful number, since it uses less digits than its factorization.

12103114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12103114104 its reverse (40141130121), we get a palindrome (52244244225).

The spelling of 12103114104 in words is "twelve billion, one hundred three million, one hundred fourteen thousand, one hundred four".