Search a number
-
+
10122403424 = 257317142553
BaseRepresentation
bin10010110110101011…
…11001111001100000
3222010110002101001112
421123111321321200
5131212313402144
64352234122452
7505562003150
oct113325717140
928113071045
1010122403424
114324918571
121b65b80428
13c54176333
146c0506760
153e39da99e
hex25b579e60

10122403424 has 48 divisors (see below), whose sum is σ = 22847414688. Its totient is φ = 4324457472.

The previous prime is 10122403391. The next prime is 10122403429. The reversal of 10122403424 is 42430422101.

It is a self number, because there is not a number n which added to its sum of digits gives 10122403424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122403429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269 + ... + 142284.

It is an arithmetic number, because the mean of its divisors is an integer number (475987806).

Almost surely, 210122403424 is an apocalyptic number.

10122403424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423707344).

10122403424 is an abundant number, since it is smaller than the sum of its proper divisors (12725011264).

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

10122403424 is a wasteful number, since it uses less digits than its factorization.

10122403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142887 (or 142879 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10122403424 its reverse (42430422101), we get a palindrome (52552825525).

The spelling of 10122403424 in words is "ten billion, one hundred twenty-two million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 317 634 1268 2219 2536 4438 5072 8876 10144 17752 35504 71008 142553 285106 570212 997871 1140424 1995742 2280848 3991484 4561696 7982968 15965936 31931872 45189301 90378602 180757204 316325107 361514408 632650214 723028816 1265300428 1446057632 2530600856 5061201712 10122403424