Search a number
-
+
10430123002124 = 22723101811590791
BaseRepresentation
bin1001011111000111001111…
…0001101100100100001100
31100221002222012112200101112
42113301303301230210030
52331341342442031444
634103310553431152
72124360112501040
oct227616361544414
940832865480345
1010430123002124
1133614325817a1
12120551710b4b8
135a8730497177
14280b6bbd8020
151314a116069e
hex97c73c6c90c

10430123002124 has 48 divisors (see below), whose sum is σ = 21769364929536. Its totient is φ = 4275279940800.

The previous prime is 10430123002093. The next prime is 10430123002127. The reversal of 10430123002124 is 42120032103401.

10430123002124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104301230021242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 10430123002124.

It is not an unprimeable number, because it can be changed into a prime (10430123002127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761169 + ... + 7351959.

It is an arithmetic number, because the mean of its divisors is an integer number (453528436032).

Almost surely, 210430123002124 is an apocalyptic number.

10430123002124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10430123002124 is an abundant number, since it is smaller than the sum of its proper divisors (11339241927412).

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

10430123002124 is a wasteful number, since it uses less digits than its factorization.

10430123002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601006 (or 1601004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10430123002124 its reverse (42120032103401), we get a palindrome (52550155105525).

The spelling of 10430123002124 in words is "ten trillion, four hundred thirty billion, one hundred twenty-three million, two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 10181 20362 40724 71267 142534 234163 285068 468326 936652 1590791 1639141 3181582 3278282 6363164 6556564 11135537 22271074 36588193 44542148 73176386 146352772 256117351 512234702 1024469404 16195843171 32391686342 64783372684 113370902197 226741804394 372504392933 453483608788 745008785866 1490017571732 2607530750531 5215061501062 10430123002124