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10344123111330 = 2335179214031101
BaseRepresentation
bin1001011010000110110111…
…0010001001011110100010
31100121212222201120120112000
42112201231302021132202
52323434231004030310
634000005145344430
72115224004464331
oct226415562113642
940555881516460
1010344123111330
113328a10909988
1211b0915a98116
135a05a6304218
1427a93027bd18
1512e11b07b4c0
hex9686dc897a2

10344123111330 has 64 divisors (see below), whose sum is σ = 27738430819200. Its totient is φ = 2743022577600.

The previous prime is 10344123111313. The next prime is 10344123111437. The reversal of 10344123111330 is 3311132144301.

10344123111330 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 12 + 311 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10344123111294 and 10344123111303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106967221 + ... + 107063880.

It is an arithmetic number, because the mean of its divisors is an integer number (433412981550).

Almost surely, 210344123111330 is an apocalyptic number.

10344123111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10344123111330 is an abundant number, since it is smaller than the sum of its proper divisors (17394307707870).

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

10344123111330 is a wasteful number, since it uses less digits than its factorization.

10344123111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214031296 (or 214031290 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10344123111330 its reverse (3311132144301), we get a palindrome (13655255255631).

The spelling of 10344123111330 in words is "ten trillion, three hundred forty-four billion, one hundred twenty-three million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 1074 1611 1790 2685 3222 4833 5370 8055 9666 16110 24165 48330 214031101 428062202 642093303 1070155505 1284186606 1926279909 2140311010 3210466515 3852559818 5778839727 6420933030 9631399545 11557679454 19262799090 28894198635 38311567079 57788397270 76623134158 114934701237 191557835395 229869402474 344804103711 383115670790 574673506185 689608207422 1034412311133 1149347012370 1724020518555 2068824622266 3448041037110 5172061555665 10344123111330