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1123380208368 = 2433111731366483
BaseRepresentation
bin10000010110001110101…
…011011010001011110000
310222101122022001102011000
4100112032223122023300
5121401140313131433
62220023532322000
7144106260135225
oct20261653321360
93871568042130
101123380208368
113a3471928650
12161875913300
1381c1b8693b2
143c52c68794c
151e34d365113
hex1058eada2f0

1123380208368 has 160 divisors (see below), whose sum is σ = 3537991054080. Its totient is φ = 338450261760.

The previous prime is 1123380208333. The next prime is 1123380208373. The reversal of 1123380208368 is 8638020833211.

1123380208368 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 80 + 208 + 368 = 666.

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, 138855 + ... + 1505337.

It is an arithmetic number, because the mean of its divisors is an integer number (22112444088).

Almost surely, 21123380208368 is an apocalyptic number.

1123380208368 is a gapful number since it is divisible by the number (18) 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 1123380208368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768995527040).

1123380208368 is an abundant number, since it is smaller than the sum of its proper divisors (2414610845712).

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

1123380208368 is a wasteful number, since it uses less digits than its factorization.

1123380208368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366684 (or 1366672 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1123380208368 in words is "one trillion, one hundred twenty-three billion, three hundred eighty million, two hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 173 176 198 216 264 297 346 396 432 519 528 594 692 792 1038 1188 1384 1557 1584 1903 2076 2376 2768 3114 3806 4152 4671 4752 5709 6228 7612 8304 9342 11418 12456 15224 17127 18684 22836 24912 30448 34254 37368 45672 51381 68508 74736 91344 102762 137016 205524 274032 411048 822096 1366483 2732966 4099449 5465932 8198898 10931864 12298347 15031313 16397796 21863728 24596694 30062626 32795592 36895041 45093939 49193388 60125252 65591184 73790082 90187878 98386776 120250504 135281817 147580164 180375756 196773552 236401559 240501008 270563634 295160328 360751512 405845451 472803118 541127268 590320656 709204677 721503024 811690902 945606236 1082254536 1418409354 1623381804 1891212472 2127614031 2164509072 2600417149 2836818708 3246763608 3782424944 4255228062 5200834298 5673637416 6382842093 6493527216 7801251447 8510456124 10401668596 11347274832 12765684186 15602502894 17020912248 20803337192 23403754341 25531368372 31205005788 34041824496 41606674384 46807508682 51062736744 62410011576 70211263023 93615017364 102125473488 124820023152 140422526046 187230034728 280845052092 374460069456 561690104184 1123380208368