Search a number
-
+
100001111130 = 23259711454881
BaseRepresentation
bin101110100100010000…
…1111101110001011010
3100120010020201210102200
41131020201331301122
53114300241024010
6113535002511030
710140056263644
oct1351041756132
9316106653380
10100001111130
1139457024998
121746a205476
139578b0b40b
144ba926d894
1529043a8cc0
hex174887dc5a

100001111130 has 48 divisors (see below), whose sum is σ = 262683354024. Its totient is φ = 26392043520.

The previous prime is 100001111129. The next prime is 100001111137. The reversal of 100001111130 is 31111100001.

It can be written as a sum of positive squares in 4 ways, for example, as 61281497601 + 38719613529 = 247551^2 + 196773^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100001111137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5718711 + ... + 5736170.

Almost surely, 2100001111130 is an apocalyptic number.

100001111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001111130 is an abundant number, since it is smaller than the sum of its proper divisors (162682242894).

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

100001111130 is a wasteful number, since it uses less digits than its factorization.

100001111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454991 (or 11454988 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100001111130 its reverse (31111100001), we get a palindrome (131112211131).

The spelling of 100001111130 in words is "one hundred billion, one million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 11454881 22909762 34364643 57274405 68729286 103093929 114548810 171823215 206187858 343646430 515469645 1030939290 1111123457 2222246914 3333370371 5555617285 6666740742 10000111113 11111234570 16666851855 20000222226 33333703710 50000555565 100001111130