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22121303121232 = 247476337663149
BaseRepresentation
bin1010000011110100001000…
…11010100001110101010000
32220022202221122112101101121
411001322010122201311100
510344413412044334412
6115014215242012024
74442132341032430
oct501720432416520
986282848471347
1022121303121232
117059656a02237
12259330b7a7014
13c460509c1003
145669691482c0
1528565c424107
hex141e846a1d50

22121303121232 has 80 divisors (see below), whose sum is σ = 50033044108800. Its totient is φ = 9277366247424.

The previous prime is 22121303121223. The next prime is 22121303121251. The reversal of 22121303121232 is 23212130312122.

It is a junction number, because it is equal to n+sod(n) for n = 22121303121197 and 22121303121206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33026394 + ... + 33689542.

It is an arithmetic number, because the mean of its divisors is an integer number (625413051360).

Almost surely, 222121303121232 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 22121303121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016522054400).

22121303121232 is an abundant number, since it is smaller than the sum of its proper divisors (27911740987568).

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

22121303121232 is a wasteful number, since it uses less digits than its factorization.

22121303121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669548 (or 669542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22121303121232 its reverse (23212130312122), we get a palindrome (45333433433354).

The spelling of 22121303121232 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 6337 12674 25348 44359 50696 88718 101392 177436 297839 354872 595678 663149 709744 1191356 1326298 2084873 2382712 2652596 4169746 4642043 4765424 5305192 8339492 9284086 10610384 16678984 18568172 31168003 33357968 37136344 62336006 74272688 124672012 218176021 249344024 436352042 498688048 872704084 1745408168 3490816336 4202375213 8404750426 16809500852 29416626491 33619001704 58833252982 67238003408 117666505964 197511635011 235333011928 395023270022 470666023856 790046540044 1382581445077 1580093080088 2765162890154 3160186160176 5530325780308 11060651560616 22121303121232