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12103105344 = 263112520967
BaseRepresentation
bin10110100010110011…
…01011101101000000
31011020111010110021220
423101121223231000
5144241343332334
65320551315040
7605632461261
oct132131535500
934214113256
1012103105344
115150984200
12241937ba80
1311ab6248c5
1482b5ba968
154ac83a449
hex2d166bb40

12103105344 has 84 divisors (see below), whose sum is σ = 35198681952. Its totient is φ = 3667600640.

The previous prime is 12103105309. The next prime is 12103105349. The reversal of 12103105344 is 44350130121.

It is a happy number.

It is a super-2 number, since 2×121031053442 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103105349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237252 + ... + 283715.

It is an arithmetic number, because the mean of its divisors is an integer number (419031928).

Almost surely, 212103105344 is an apocalyptic number.

It is an amenable number.

12103105344 is an abundant number, since it is smaller than the sum of its proper divisors (23095576608).

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

12103105344 is a wasteful number, since it uses less digits than its factorization.

12103105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521004 (or 520983 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12103105344 its reverse (44350130121), we get a palindrome (56453235465).

The spelling of 12103105344 in words is "twelve billion, one hundred three million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 520967 1041934 1562901 2083868 3125802 4167736 5730637 6251604 8335472 11461274 12503208 16670944 17191911 22922548 25006416 33341888 34383822 45845096 50012832 63037007 68767644 91690192 100025664 126074014 137535288 183380384 189111021 252148028 275070576 366760768 378222042 504296056 550141152 756444084 1008592112 1100282304 1512888168 2017184224 3025776336 4034368448 6051552672 12103105344