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420122221024 = 25111193529037
BaseRepresentation
bin1100001110100010011…
…11000101100111100000
31111011102001002002222011
412013101033011213200
523340402242033044
6521000153122304
742232006646302
oct6072117054740
91434361062864
10420122221024
1115219a04a930
126950a0b9394
1330804439abc
14164967c1972
15addd258134
hex61d13c59e0

420122221024 has 24 divisors (see below), whose sum is σ = 902307952728. Its totient is φ = 190964645760.

The previous prime is 420122221021. The next prime is 420122221109.

420122221024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420122220986 and 420122221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420122221021) 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, 596764167 + ... + 596764870.

It is an arithmetic number, because the mean of its divisors is an integer number (37596164697).

Almost surely, 2420122221024 is an apocalyptic number.

420122221024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420122221024 is an abundant number, since it is smaller than the sum of its proper divisors (482185731704).

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

420122221024 is a wasteful number, since it uses less digits than its factorization.

420122221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193529058 (or 1193529050 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 420122 and 221024, that added together give a palindrome (641146).

The spelling of 420122221024 in words is "four hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1193529037 2387058074 4774116148 9548232296 13128819407 19096464592 26257638814 38192929184 52515277628 105030555256 210061110512 420122221024