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211023303320112 = 243295925110236829
BaseRepresentation
bin101111111110110010110001…
…000010001010001000110000
31000200011122000211121001102220
4233332302301002022020300
5210124401211122220422
62024450433420041040
762306634114456003
oct5776626102121060
91020148024531386
10211023303320112
11612695313a35a8
121b801891393180
13909954856313a
143a1782208353a
15195e3014c0e5c
hexbfecb108a230

211023303320112 has 160 divisors (see below), whose sum is σ = 575784834912000. Its totient is φ = 66498434688000.

The previous prime is 211023303320101. The next prime is 211023303320129.

211023303320112 is nontrivially palindromic in base 10.

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

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, 15495714 + ... + 25732542.

It is an arithmetic number, because the mean of its divisors is an integer number (3598655218200).

Almost surely, 2211023303320112 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 211023303320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287892417456000).

211023303320112 is an abundant number, since it is smaller than the sum of its proper divisors (364761531591888).

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

211023303320112 is a wasteful number, since it uses less digits than its factorization.

211023303320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10237179 (or 10237173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21102330 and 3320112, that added together give a palindrome (24422442).

The spelling of 211023303320112 in words is "two hundred eleven trillion, twenty-three billion, three hundred three million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 59 87 116 118 174 177 232 236 251 348 354 464 472 502 696 708 753 944 1004 1392 1416 1506 1711 2008 2832 3012 3422 4016 5133 6024 6844 7279 10266 12048 13688 14558 14809 20532 21837 27376 29116 29618 41064 43674 44427 58232 59236 82128 87348 88854 116464 118472 174696 177708 236944 349392 355416 429461 710832 858922 1288383 1717844 2576766 3435688 5153532 6871376 10236829 10307064 20473658 20614128 30710487 40947316 61420974 81894632 122841948 163789264 245683896 296868041 491367792 593736082 603972911 890604123 1187472164 1207945822 1781208246 1811918733 2374944328 2415891644 2569444079 3562416492 3623837466 4749888656 4831783288 5138888158 7124832984 7247674932 7708332237 9663566576 10277776316 14249665968 14495349864 15416664474 17515214419 20555552632 28990699728 30833328948 35030428838 41111105264 52545643257 61666657896 70060857676 74513878291 105091286514 123333315792 140121715352 149027756582 151597200661 210182573028 223541634873 280243430704 298055513164 303194401322 420365146056 447083269746 454791601983 596111026328 606388802644 840730292112 894166539492 909583203966 1192222052656 1212777605288 1788333078984 1819166407932 2425555210576 3576666157968 3638332815864 4396318819169 7276665631728 8792637638338 13188956457507 17585275276676 26377912915014 35170550553352 52755825830028 70341101106704 105511651660056 211023303320112