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10142004195 = 335233322429
BaseRepresentation
bin10010111001000001…
…01011001111100011
3222011210222012021000
421130200223033203
5131232323113240
64354214203043
7506220420231
oct113440531743
928153865230
1010142004195
114334995954
121b70653483
13c58249b1b
146c2d69951
153e55ad430
hex25c82b3e3

10142004195 has 32 divisors (see below), whose sum is σ = 18107668800. Its totient is φ = 5385837312.

The previous prime is 10142004179. The next prime is 10142004217. The reversal of 10142004195 is 59140024101.

10142004195 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142004195 - 24 = 10142004179 is a prime.

It is a super-3 number, since 3×101420041953 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 129760 + ... + 192669.

It is an arithmetic number, because the mean of its divisors is an integer number (565864650).

Almost surely, 210142004195 is an apocalyptic number.

10142004195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10142004195 is a deficient number, since it is larger than the sum of its proper divisors (7965664605).

10142004195 is a wasteful number, since it uses less digits than its factorization.

10142004195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322676 (or 322670 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10142004195 its reverse (59140024101), we get a palindrome (69282028296).

The spelling of 10142004195 in words is "ten billion, one hundred forty-two million, four thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 233 699 1165 2097 3495 6291 10485 31455 322429 967287 1612145 2901861 4836435 8705583 14509305 43527915 75125957 225377871 375629785 676133613 1126889355 2028400839 3380668065 10142004195