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10142140013300 = 2252101421400133
BaseRepresentation
bin1001001110010110011010…
…1001110001101011110100
31022220120122011202001221102
42103211212221301223310
52312132100320411200
633323122414505232
72064513453462401
oct223454651615364
938816564661842
1010142140013300
1132602916a5899
121179746205218
135875271a7c79
14270c4ca612a8
15128c489826d5
hex93966a71af4

10142140013300 has 18 divisors (see below), whose sum is σ = 22008443829078. Its totient is φ = 4056856005280.

The previous prime is 10142140013281. The next prime is 10142140013321. The reversal of 10142140013300 is 331004124101.

It can be written as a sum of positive squares in 3 ways, for example, as 348482424976 + 9793657588324 = 590324^2 + 3129482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50710699967 + ... + 50710700166.

Almost surely, 210142140013300 is an apocalyptic number.

10142140013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142140013300 is an abundant number, since it is smaller than the sum of its proper divisors (11866303815778).

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

10142140013300 is a wasteful number, since it uses less digits than its factorization.

10142140013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101421400147 (or 101421400140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10142140013300 its reverse (331004124101), we get a palindrome (10473144137401).

The spelling of 10142140013300 in words is "ten trillion, one hundred forty-two billion, one hundred forty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101421400133 202842800266 405685600532 507107000665 1014214001330 2028428002660 2535535003325 5071070006650 10142140013300