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10120422444 = 22311971674733
BaseRepresentation
bin10010110110011100…
…10110010000101100
3222010022100201122220
421123032112100230
5131211312004234
64352123435340
7505536112536
oct113316262054
928108321586
1010120422444
1143237951a0
121b65385b50
13c53931762
146c014c856
153e3748a49
hex25b39642c

10120422444 has 96 divisors (see below), whose sum is σ = 26188033536. Its totient is φ = 3016366080.

The previous prime is 10120422437. The next prime is 10120422457. The reversal of 10120422444 is 44422402101.

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, 2135902 + ... + 2140634.

It is an arithmetic number, because the mean of its divisors is an integer number (272792016).

Almost surely, 210120422444 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 10120422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094016768).

10120422444 is an abundant number, since it is smaller than the sum of its proper divisors (16067611092).

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

10120422444 is a wasteful number, since it uses less digits than its factorization.

10120422444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10120422444 its reverse (44422402101), we get a palindrome (54542824545).

The spelling of 10120422444 in words is "ten billion, one hundred twenty million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 167 194 291 334 388 501 582 668 1002 1067 1164 1837 2004 2134 3201 3674 4268 4733 5511 6402 7348 9466 11022 12804 14199 16199 18932 22044 28398 32398 48597 52063 56796 64796 97194 104126 156189 178189 194388 208252 312378 356378 459101 534567 624756 712756 790411 918202 1069134 1377303 1580822 1836404 2138268 2371233 2754606 3161644 4742466 5050111 5509212 8694521 9484932 10100222 15150333 17389042 20200444 26083563 30300666 34778084 52167126 60601332 76669867 104334252 153339734 230009601 306679468 460019202 843368537 920038404 1686737074 2530105611 3373474148 5060211222 10120422444