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10142312124 = 2237120741811
BaseRepresentation
bin10010111001000011…
…10110011010111100
3222011211112211122210
421130201312122330
5131232412441444
64354224540420
7506223142050
oct113441663274
928154484583
1010142312124
11433508623a
121b70781710
13c58327029
146c3009c60
153e561e7b9
hex25c8766bc

10142312124 has 24 divisors (see below), whose sum is σ = 27046165888. Its totient is φ = 2897803440.

The previous prime is 10142312123. The next prime is 10142312137. The reversal of 10142312124 is 42121324101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10142312124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142312123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60370822 + ... + 60370989.

Almost surely, 210142312124 is an apocalyptic number.

10142312124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10142312124 is an abundant number, since it is smaller than the sum of its proper divisors (16903853764).

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

10142312124 is a wasteful number, since it uses less digits than its factorization.

10142312124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120741825 (or 120741823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10142312124 its reverse (42121324101), we get a palindrome (52263636225).

The spelling of 10142312124 in words is "ten billion, one hundred forty-two million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 120741811 241483622 362225433 482967244 724450866 845192677 1448901732 1690385354 2535578031 3380770708 5071156062 10142312124