Search a number
-
+
10142130102340 = 225507106505117
BaseRepresentation
bin1001001110010110011000…
…0011111110000001000100
31022220120121111002112122211
42103211212003332001010
52312132040301233330
633323121422233204
72064513303313435
oct223454603760104
938816544075584
1010142130102340
113260287046615
121179742a25804
13587525117ab2
14270c4b60148c
15128c47b75d2a
hex939660fe044

10142130102340 has 12 divisors (see below), whose sum is σ = 21298473214956. Its totient is φ = 4056852040928.

The previous prime is 10142130102337. The next prime is 10142130102343. The reversal of 10142130102340 is 4320103124101.

It is an interprime number because it is at equal distance from previous prime (10142130102337) and next prime (10142130102343).

It can be written as a sum of positive squares in 2 ways, for example, as 4700510180356 + 5441619921984 = 2168066^2 + 2332728^2 .

It is not an unprimeable number, because it can be changed into a prime (10142130102343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253553252539 + ... + 253553252578.

It is an arithmetic number, because the mean of its divisors is an integer number (1774872767913).

Almost surely, 210142130102340 is an apocalyptic number.

10142130102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142130102340 is an abundant number, since it is smaller than the sum of its proper divisors (11156343112616).

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

10142130102340 is a wasteful number, since it uses less digits than its factorization.

10142130102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507106505126 (or 507106505124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10142130102340 its reverse (4320103124101), we get a palindrome (14462233226441).

The spelling of 10142130102340 in words is "ten trillion, one hundred forty-two billion, one hundred thirty million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 507106505117 1014213010234 2028426020468 2535532525585 5071065051170 10142130102340