Search a number
-
+
10221202024 = 2311223459091
BaseRepresentation
bin10011000010011101…
…10010101001101000
3222101022222212020221
421201032302221220
5131413111431044
64410123455424
7511201532545
oct114116625150
928338885227
1010221202024
114375669400
121b93087574
13c6b789047
146cd6a3bcc
153ec504484
hex2613b2a68

10221202024 has 48 divisors (see below), whose sum is σ = 21981324960. Its totient is φ = 4443991200.

The previous prime is 10221202021. The next prime is 10221202031. The reversal of 10221202024 is 42020212201.

It is a junction number, because it is equal to n+sod(n) for n = 10221201989 and 10221202007.

It is not an unprimeable number, because it can be changed into a prime (10221202021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207282 + ... + 251809.

It is an arithmetic number, because the mean of its divisors is an integer number (457944270).

Almost surely, 210221202024 is an apocalyptic number.

It is an amenable number.

10221202024 is an abundant number, since it is smaller than the sum of its proper divisors (11760122936).

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

10221202024 is a wasteful number, since it uses less digits than its factorization.

10221202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459142 (or 459127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10221202024 its reverse (42020212201), we get a palindrome (52241414225).

It can be divided in two parts, 1022120 and 2024, that added together give a square (1024144 = 10122).

The spelling of 10221202024 in words is "ten billion, two hundred twenty-one million, two hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 2024 2783 5566 11132 22264 459091 918182 1836364 3672728 5050001 10100002 10559093 20200004 21118186 40400008 42236372 55550011 84472744 111100022 116150023 222200044 232300046 444400088 464600092 929200184 1277650253 2555300506 5110601012 10221202024