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10142430012 = 223311135312391
BaseRepresentation
bin10010111001000100…
…10011001100111100
3222011211202211101000
421130202103030330
5131232430230022
64354231250300
7506224142541
oct113442231474
928154684330
1010142430012
114335156870
121b70819990
13c583688a0
146c303abc8
153e56446ac
hex25c89333c

10142430012 has 192 divisors, whose sum is σ = 31477662720. Its totient is φ = 2783289600.

The previous prime is 10142429963. The next prime is 10142430029. The reversal of 10142430012 is 21003424101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812337 + ... + 824727.

It is an arithmetic number, because the mean of its divisors is an integer number (163946160).

Almost surely, 210142430012 is an apocalyptic number.

10142430012 is a gapful number since it is divisible by the number (12) 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 10142430012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738831360).

10142430012 is an abundant number, since it is smaller than the sum of its proper divisors (21335232708).

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

10142430012 is a wasteful number, since it uses less digits than its factorization.

10142430012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10142430012 its reverse (21003424101), we get a palindrome (31145854113).

The spelling of 10142430012 in words is "ten billion, one hundred forty-two million, four hundred thirty thousand, twelve".