Search a number
-
+
10101000141 = 325813193073
BaseRepresentation
bin10010110100001000…
…10000011111001101
3222001221210222021100
421122010100133031
5131141324001031
64350151253313
7505212041001
oct113204203715
928057728240
1010101000141
114313829a01
121b5a97a239
13c4c8c127b
146bb734701
153e1badde6
hex25a1107cd

10101000141 has 12 divisors (see below), whose sum is σ = 14592919068. Its totient is φ = 6732806784.

The previous prime is 10101000139. The next prime is 10101000149. The reversal of 10101000141 is 14100010101.

It can be written as a sum of positive squares in 2 ways, for example, as 3567672900 + 6533327241 = 59730^2 + 80829^2 .

It is not a de Polignac number, because 10101000141 - 21 = 10101000139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44220 + ... + 148853.

It is an arithmetic number, because the mean of its divisors is an integer number (1216076589).

Almost surely, 210101000141 is an apocalyptic number.

It is an amenable number.

10101000141 is a deficient number, since it is larger than the sum of its proper divisors (4491918927).

10101000141 is a wasteful number, since it uses less digits than its factorization.

10101000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198892 (or 198889 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101000141 its reverse (14100010101), we get a palindrome (24201010242).

The spelling of 10101000141 in words is "ten billion, one hundred one million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 5813 17439 52317 193073 579219 1737657 1122333349 3367000047 10101000141