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103141122948 = 22322865031193
BaseRepresentation
bin110000000001110110…
…0001010001110000100
3100212020002012220212200
41200003230022032010
53142213111413243
6115214332114500
710310635036233
oct1400354121604
9325202186780
10103141122948
113a818525286
1217ba5905a30
139959505486
144dc62c0b1a
152a39da7ad3
hex1803b0a384

103141122948 has 18 divisors (see below), whose sum is σ = 260717838654. Its totient is φ = 34380374304.

The previous prime is 103141122857. The next prime is 103141122949. The reversal of 103141122948 is 849221141301.

103141122948 is a `hidden beast` number, since 10 + 3 + 1 + 411 + 229 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78670152324 + 24470970624 = 280482^2 + 156432^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2865031193 = 103141122948 / (1 + 0 + 3 + 1 + 4 + 1 + 1 + 2 + 2 + 9 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (103141122949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1432515561 + ... + 1432515632.

Almost surely, 2103141122948 is an apocalyptic number.

103141122948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103141122948 is an abundant number, since it is smaller than the sum of its proper divisors (157576715706).

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

103141122948 is a wasteful number, since it uses less digits than its factorization.

103141122948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865031203 (or 2865031198 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 103141122948 in words is "one hundred three billion, one hundred forty-one million, one hundred twenty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2865031193 5730062386 8595093579 11460124772 17190187158 25785280737 34380374316 51570561474 103141122948