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2123113344 = 27311502631
BaseRepresentation
bin111111010001100…
…0010001110000000
312110222000022222120
41332203002032000
513322004111334
6550401404240
7103420110552
oct17643021600
95428008876
102123113344
1199a495530
124b3039680
1327ab213b1
14161d854d2
15c65d0949
hex7e8c2380

2123113344 has 64 divisors (see below), whose sum is σ = 6152215680. Its totient is φ = 643366400.

The previous prime is 2123113319. The next prime is 2123113351. The reversal of 2123113344 is 4433113212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21231133442 = 9015220542941724672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247092 + ... + 255539.

It is an arithmetic number, because the mean of its divisors is an integer number (96128370).

Almost surely, 22123113344 is an apocalyptic number.

2123113344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123113344 is an abundant number, since it is smaller than the sum of its proper divisors (4029102336).

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

2123113344 is a wasteful number, since it uses less digits than its factorization.

2123113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502659 (or 502647 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2123113344 is about 46077.2540848519. The cubic root of 2123113344 is about 1285.2602023707.

Adding to 2123113344 its reverse (4433113212), we get a palindrome (6556226556).

The spelling of 2123113344 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 502631 1005262 1507893 2010524 3015786 4021048 5528941 6031572 8042096 11057882 12063144 16084192 16586823 22115764 24126288 32168384 33173646 44231528 48252576 64336768 66347292 88463056 96505152 132694584 176926112 193010304 265389168 353852224 530778336 707704448 1061556672 2123113344