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10420225420 = 2251147364661
BaseRepresentation
bin10011011010001100…
…00000010110001100
3222220012111022000211
421231012000112030
5132320034203140
64441553332204
7516136311643
oct115506002614
928805438024
1010420225420
114467a44650
122029867064
13ca0a90977
1470bcb035a
1540ec192ea
hex26d18058c

10420225420 has 24 divisors (see below), whose sum is σ = 23871789648. Its totient is φ = 3789172800.

The previous prime is 10420225397. The next prime is 10420225447. The reversal of 10420225420 is 2452202401.

It is a super-4 number, since 4×104202254204 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 = 10420225391 and 10420225400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23682111 + ... + 23682550.

It is an arithmetic number, because the mean of its divisors is an integer number (994657902).

Almost surely, 210420225420 is an apocalyptic number.

10420225420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420225420 is an abundant number, since it is smaller than the sum of its proper divisors (13451564228).

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

10420225420 is a wasteful number, since it uses less digits than its factorization.

10420225420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47364681 (or 47364679 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10420225420 its reverse (2452202401), we get a palindrome (12872427821).

The spelling of 10420225420 in words is "ten billion, four hundred twenty million, two hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 47364661 94729322 189458644 236823305 473646610 521011271 947293220 1042022542 2084045084 2605056355 5210112710 10420225420