Search a number
-
+
100131210201 = 3115357250549
BaseRepresentation
bin101110101000001001…
…0010000001111011001
3100120110022112111210210
41131100102100033121
53120032042211301
6113555531201333
710143226146351
oct1352022201731
9316408474723
10100131210201
1139513504290
12174a58a6249
139599a60009
144bbc657b61
152910a06ad6
hex17504903d9

100131210201 has 16 divisors (see below), whose sum is σ = 148393425600. Its totient is φ = 59540569920.

The previous prime is 100131210191. The next prime is 100131210211. The reversal of 100131210201 is 102012131001.

It is an interprime number because it is at equal distance from previous prime (100131210191) and next prime (100131210211).

It is not a de Polignac number, because 100131210201 - 27 = 100131210073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100131210211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28623526 + ... + 28627023.

It is an arithmetic number, because the mean of its divisors is an integer number (9274589100).

Almost surely, 2100131210201 is an apocalyptic number.

100131210201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100131210201 is a deficient number, since it is larger than the sum of its proper divisors (48262215399).

100131210201 is a wasteful number, since it uses less digits than its factorization.

100131210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57250616.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100131210201 its reverse (102012131001), we get a palindrome (202143341202).

The spelling of 100131210201 in words is "one hundred billion, one hundred thirty-one million, two hundred ten thousand, two hundred one".

Divisors: 1 3 11 33 53 159 583 1749 57250549 171751647 629756039 1889268117 3034279097 9102837291 33377070067 100131210201