Search a number
-
+
10023031144 = 2372223114659
BaseRepresentation
bin10010101010110101…
…10101000101101000
3221212112002201220201
421111122311011220
5131011343444034
64334324201544
7503244234100
oct112532650550
927775081821
1010023031144
114283815715
121b388392b4
13c396c2479
146b123a200
153d9e0c014
hex2556b5168

10023031144 has 48 divisors (see below), whose sum is σ = 21959683200. Its totient is φ = 4276284768.

The previous prime is 10023031141. The next prime is 10023031159. The reversal of 10023031144 is 44113032001.

It is a super-2 number, since 2×100230311442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023031141) 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, 30087 + ... + 144745.

It is an arithmetic number, because the mean of its divisors is an integer number (457493400).

Almost surely, 210023031144 is an apocalyptic number.

10023031144 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 10023031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979841600).

10023031144 is an abundant number, since it is smaller than the sum of its proper divisors (11936652056).

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

10023031144 is a wasteful number, since it uses less digits than its factorization.

10023031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114902 (or 114891 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10023031144 its reverse (44113032001), we get a palindrome (54136063145).

The spelling of 10023031144 in words is "ten billion, twenty-three million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1561 1784 3122 6244 10927 12488 21854 43708 87416 114659 229318 458636 802613 917272 1605226 3210452 5618291 6420904 11236582 22473164 25568957 44946328 51137914 102275828 178982699 204551656 357965398 715930796 1252878893 1431861592 2505757786 5011515572 10023031144