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20344205112 = 23371111239803
BaseRepresentation
bin10010111100100110…
…111110111100111000
31221111211012200220020
4102330212332330320
5313131104030422
613202422530440
71320101614230
oct227446767470
957454180806
1020344205112
11869a856460
123b39296a20
131bc2ab22ba
14dadcc4cc0
157e10ac95c
hex4bc9bef38

20344205112 has 128 divisors (see below), whose sum is σ = 63473448960. Its totient is φ = 5278965120.

The previous prime is 20344205087. The next prime is 20344205117. The reversal of 20344205112 is 21150244302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344205117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070403 + ... + 2080205.

It is an arithmetic number, because the mean of its divisors is an integer number (495886320).

Almost surely, 220344205112 is an apocalyptic number.

20344205112 is a gapful number since it is divisible by the number (22) 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 20344205112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31736724480).

20344205112 is an abundant number, since it is smaller than the sum of its proper divisors (43129243848).

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

20344205112 is a wasteful number, since it uses less digits than its factorization.

20344205112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 20344205112 its reverse (21150244302), we get a palindrome (41494449414).

It can be divided in two parts, 20344 and 205112, that added together give a triangular number (225456 = T671).

The spelling of 20344205112 in words is "twenty billion, three hundred forty-four million, two hundred five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1123 1848 2246 3369 4492 6738 7861 8984 9803 12353 13476 15722 19606 23583 24706 26952 29409 31444 37059 39212 47166 49412 58818 62888 68621 74118 78424 86471 94332 98824 107833 117636 137242 148236 172942 188664 205863 215666 235272 259413 274484 296472 323499 345884 411726 431332 518826 548968 646998 691768 754831 823452 862664 1037652 1293996 1509662 1646904 2075304 2264493 2587992 3019324 4528986 6038648 9057972 11008769 18115944 22017538 33026307 44035076 66052614 77061383 88070152 121096459 132105228 154122766 231184149 242192918 264210456 308245532 363289377 462368298 484385836 616491064 726578754 847675213 924736596 968771672 1453157508 1695350426 1849473192 2543025639 2906315016 3390700852 5086051278 6781401704 10172102556 20344205112