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10142010342 = 23219197150533
BaseRepresentation
bin10010111001000001…
…01100101111100110
3222011210222111200200
421130200230233212
5131232323312332
64354214251330
7506220444162
oct113440545746
928153874620
1010142010342
11433499a532
121b70656b46
13c5824c869
146c2d6bca2
153e55b017c
hex25c82cbe6

10142010342 has 48 divisors (see below), whose sum is σ = 23248470960. Its totient is φ = 3186461376.

The previous prime is 10142010337. The next prime is 10142010353. The reversal of 10142010342 is 24301024101.

10142010342 is a `hidden beast` number, since 101 + 420 + 103 + 42 = 666.

10142010342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7893 + ... + 142640.

It is an arithmetic number, because the mean of its divisors is an integer number (484343145).

Almost surely, 210142010342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142010342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624235480).

10142010342 is an abundant number, since it is smaller than the sum of its proper divisors (13106460618).

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

10142010342 is a wasteful number, since it uses less digits than its factorization.

10142010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150757 (or 150754 counting only the distinct ones).

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

Adding to 10142010342 its reverse (24301024101), we get a palindrome (34443034443).

The spelling of 10142010342 in words is "ten billion, one hundred forty-two million, ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 394 591 1182 1773 3546 3743 7486 11229 22458 33687 67374 150533 301066 451599 903198 1354797 2709594 2860127 5720254 8580381 17160762 25741143 29655001 51482286 59310002 88965003 177930006 266895009 533790018 563445019 1126890038 1690335057 3380670114 5071005171 10142010342