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20105312350224 = 243597099333457
BaseRepresentation
bin1001001001001001000100…
…00000000011000000010000
32122012001022210020012102110
410210210202000003000100
510113401134430201344
6110432130351145320
74143363245152623
oct444444200030020
978161283205373
1020105312350224
11645168474a522
122308664515240
13b2abcc58537a
144d7160a49dba
1524ceba6753b9
hex124922003010

20105312350224 has 40 divisors (see below), whose sum is σ = 52819040927520. Its totient is φ = 6588181447168.

The previous prime is 20105312350219. The next prime is 20105312350309. The reversal of 20105312350224 is 42205321350102.

It is a junction number, because it is equal to n+sod(n) for n = 20105312350191 and 20105312350200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3549663897 + ... + 3549669560.

It is an arithmetic number, because the mean of its divisors is an integer number (1320476023188).

Almost surely, 220105312350224 is an apocalyptic number.

20105312350224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20105312350224 is an abundant number, since it is smaller than the sum of its proper divisors (32713728577296).

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

20105312350224 is a wasteful number, since it uses less digits than its factorization.

20105312350224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099333527 (or 7099333521 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 20105312350224 in words is "twenty trillion, one hundred five billion, three hundred twelve million, three hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 7099333457 14198666914 21298000371 28397333828 42596000742 56794667656 85192001484 113589335312 170384002968 340768005936 418860673963 837721347926 1256582021889 1675442695852 2513164043778 3350885391704 5026328087556 6701770783408 10052656175112 20105312350224