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10223132420 = 225511156621
BaseRepresentation
bin10011000010101100…
…01001111100000100
3222101110121221021002
421201112021330010
5131414110214140
64410233112432
7511224122534
oct114126117404
928343557232
1010223132420
114376767776
121b93858718
13c6bcb38a7
146cda474c4
153ec786415
hex261589f04

10223132420 has 12 divisors (see below), whose sum is σ = 21468578124. Its totient is φ = 4089252960.

The previous prime is 10223132399. The next prime is 10223132431. The reversal of 10223132420 is 2423132201.

It can be written as a sum of positive squares in 2 ways, for example, as 4420654144 + 5802478276 = 66488^2 + 76174^2 .

It is a super-3 number, since 3×102231324203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 511156621 = 10223132420 / (1 + 0 + 2 + 2 + 3 + 1 + 3 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10223132392 and 10223132401.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255578291 + ... + 255578330.

It is an arithmetic number, because the mean of its divisors is an integer number (1789048177).

Almost surely, 210223132420 is an apocalyptic number.

10223132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223132420 is an abundant number, since it is smaller than the sum of its proper divisors (11245445704).

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

10223132420 is a wasteful number, since it uses less digits than its factorization.

10223132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511156630 (or 511156628 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223132420 its reverse (2423132201), we get a palindrome (12646264621).

The spelling of 10223132420 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 511156621 1022313242 2044626484 2555783105 5111566210 10223132420