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20022002010112 = 21131693085001
BaseRepresentation
bin1001000110101101111000…
…10100010100100000000000
32121220002021202010102111011
410203112330110110200000
510111020030003310422
6110325551501330304
74134353606021644
oct443267424244000
977802252112434
1020022002010112
11641a313186973
1222b4493b66994
13b230b368a92b
144d30da3a2c24
1524ac41760077
hex1235bc514800

20022002010112 has 48 divisors (see below), whose sum is σ = 40046873712300. Its totient is φ = 10007838720000.

The previous prime is 20022002010083. The next prime is 20022002010113. The reversal of 20022002010112 is 21101020022002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19474780824576 + 547221185536 = 4413024^2 + 739744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20022002010092 and 20022002010101.

It is not an unprimeable number, because it can be changed into a prime (20022002010113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4947612 + ... + 8032612.

Almost surely, 220022002010112 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 20022002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20023436856150).

20022002010112 is an abundant number, since it is smaller than the sum of its proper divisors (20024871702188).

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

20022002010112 is an equidigital number, since it uses as much as digits as its factorization.

20022002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088192 (or 3088172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20022002010112 its reverse (21101020022002), we get a palindrome (41123022032114).

The spelling of 20022002010112 in words is "twenty trillion, twenty-two billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3169 6338 12676 25352 50704 101408 202816 405632 811264 1622528 3085001 3245056 6170002 6490112 12340004 24680008 49360016 98720032 197440064 394880128 789760256 1579520512 3159041024 6318082048 9776368169 19552736338 39105472676 78210945352 156421890704 312843781408 625687562816 1251375125632 2502750251264 5005500502528 10011001005056 20022002010112