Search a number
-
+
2112023022312 = 2337113943711789
BaseRepresentation
bin11110101110111110011…
…000011100101011101000
321110220111111221000020110
4132232332120130223220
5234100410343203222
64254125555054320
7305405620324530
oct36567630345350
97426444830213
102112023022312
11744781a32565
122a13a82a13a0
13124216c095a8
14743186024c0
1539e129d430c
hex1ebbe61cae8

2112023022312 has 128 divisors (see below), whose sum is σ = 6088914374400. Its totient is φ = 597980909568.

The previous prime is 2112023022289. The next prime is 2112023022331. The reversal of 2112023022312 is 2132203202112.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 179146114 + ... + 179157902.

It is an arithmetic number, because the mean of its divisors is an integer number (47569643550).

Almost surely, 22112023022312 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 2112023022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044457187200).

2112023022312 is an abundant number, since it is smaller than the sum of its proper divisors (3976891352088).

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

2112023022312 is a wasteful number, since it uses less digits than its factorization.

2112023022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2112023022312 its reverse (2132203202112), we get a palindrome (4244226224424).

The spelling of 2112023022312 in words is "two trillion, one hundred twelve billion, twenty-three million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9437 9492 11789 18874 18984 23578 28311 35367 37748 47156 56622 66059 70734 75496 82523 94312 113244 132118 141468 165046 198177 226488 247569 264236 282936 330092 396354 495138 528472 660184 792708 990276 1066381 1332157 1585416 1980552 2132762 2664314 3199143 3996471 4265524 5328628 6398286 7464667 7992942 8531048 9325099 10657256 12796572 14929334 15985884 18650198 22394001 25593144 27975297 29858668 31971768 37300396 44788002 55950594 59717336 74600792 89576004 111252793 111901188 179152008 222505586 223802376 333758379 445011172 667516758 778769551 890022344 1335033516 1557539102 2336308653 2670067032 3115078204 4672617306 6230156408 9345234612 12571565609 18690469224 25143131218 37714696827 50286262436 75429393654 88000959263 100572524872 150858787308 176001918526 264002877789 301717574616 352003837052 528005755578 704007674104 1056011511156 2112023022312