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10105514430 = 2351130622771
BaseRepresentation
bin10010110100101010…
…11110100110111110
3222002021022022201020
421122111132212332
5131144002430210
64350432125010
7505265312124
oct113225364676
928067268636
1010105514430
114316332620
121b60396766
13c50811c4b
146bc18b914
153e22a1770
hex25a55e9be

10105514430 has 32 divisors (see below), whose sum is σ = 26458075008. Its totient is φ = 2449821600.

The previous prime is 10105514413. The next prime is 10105514437. The reversal of 10105514430 is 3441550101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10105514430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105514437) 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, 15311056 + ... + 15311715.

It is an arithmetic number, because the mean of its divisors is an integer number (826814844).

Almost surely, 210105514430 is an apocalyptic number.

10105514430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105514430 is an abundant number, since it is smaller than the sum of its proper divisors (16352560578).

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

10105514430 is a wasteful number, since it uses less digits than its factorization.

10105514430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30622792.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10105514430 in words is "ten billion, one hundred five million, five hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 30622771 61245542 91868313 153113855 183736626 306227710 336850481 459341565 673700962 918683130 1010551443 1684252405 2021102886 3368504810 5052757215 10105514430