Search a number
-
+
10141133034012 = 22311348311548067
BaseRepresentation
bin1001001110010010101010…
…1000011101001000011100
31022220111000222221020001020
42103210222220131020130
52312123020024042022
633322434443444140
72064446505342621
oct223445250351034
938814028836036
1010141133034012
11325a915245402
121179504b26650
135873c6696136
14270b95018348
15128bda37335c
hex9392aa1d21c

10141133034012 has 48 divisors (see below), whose sum is σ = 23877004526592. Its totient is φ = 3349767133440.

The previous prime is 10141133033959. The next prime is 10141133034047. The reversal of 10141133034012 is 21043033114101.

It is a happy number.

It is a super-2 number, since 2×101411330340122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5776803 + ... + 7324869.

It is an arithmetic number, because the mean of its divisors is an integer number (497437594304).

Almost surely, 210141133034012 is an apocalyptic number.

10141133034012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10141133034012 is an abundant number, since it is smaller than the sum of its proper divisors (13735871492580).

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

10141133034012 is a wasteful number, since it uses less digits than its factorization.

10141133034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553018 (or 1553016 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10141133034012 its reverse (21043033114101), we get a palindrome (31184166148113).

The spelling of 10141133034012 in words is "ten trillion, one hundred forty-one billion, one hundred thirty-three million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 4831 9662 14493 19324 28986 57972 545903 1091806 1548067 1637709 2183612 3096134 3275418 4644201 6192268 6550836 9288402 18576804 174931571 349863142 524794713 699726284 1049589426 2099178852 7478711677 14957423354 22436135031 29914846708 44872270062 89744540124 845094419501 1690188839002 2535283258503 3380377678004 5070566517006 10141133034012