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10542434430 = 23511193173743
BaseRepresentation
bin10011101000110000…
…01100100001111110
31000012201110011021110
421310120030201332
5133042330400210
64502040542450
7522152133303
oct116430144176
930181404243
1010542434430
11451aa25030
122062781a26
13cc01ac1a8
147202030aa
1541a809420
hex27460c87e

10542434430 has 256 divisors, whose sum is σ = 30443765760. Its totient is φ = 2307916800.

The previous prime is 10542434429. The next prime is 10542434437. The reversal of 10542434430 is 3443424501.

It is a super-2 number, since 2×105424344302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542434437) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14188639 + ... + 14189381.

It is an arithmetic number, because the mean of its divisors is an integer number (118920960).

Almost surely, 210542434430 is an apocalyptic number.

10542434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542434430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221882880).

10542434430 is an abundant number, since it is smaller than the sum of its proper divisors (19901331330).

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

10542434430 is a wasteful number, since it uses less digits than its factorization.

10542434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10542434430 its reverse (3443424501), we get a palindrome (13985858931).

The spelling of 10542434430 in words is "ten billion, five hundred forty-two million, four hundred thirty-four thousand, four hundred thirty".