Search a number
-
+
103100201312022 = 23234759164785781
BaseRepresentation
bin10111011100010011100010…
…111000000001111100010110
3111112001021122022000212011100
4113130103202320001330112
5102003143203013441042
61003135324552050530
730500513046405345
oct2734234270017426
9445037568025140
10103100201312022
112a93a605907722
12b691614993a46
13456b3cc0abb05
141b6610d7adb5c
15bdbd15c6624c
hex5dc4e2e01f16

103100201312022 has 24 divisors (see below), whose sum is σ = 223390197510480. Its totient is φ = 34365744847440.

The previous prime is 103100201311999. The next prime is 103100201312071. The reversal of 103100201312022 is 220213102001301.

103100201312022 is a `hidden beast` number, since 1 + 0 + 310 + 0 + 20 + 1 + 312 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103100201311986 and 103100201312004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81767229 + ... + 83018552.

It is an arithmetic number, because the mean of its divisors is an integer number (9307924896270).

Almost surely, 2103100201312022 is an apocalyptic number.

103100201312022 is an abundant number, since it is smaller than the sum of its proper divisors (120289996198458).

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

103100201312022 is a wasteful number, since it uses less digits than its factorization.

103100201312022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164820548 (or 164820545 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103100201312022 its reverse (220213102001301), we get a palindrome (323313303313323).

The spelling of 103100201312022 in words is "one hundred three trillion, one hundred billion, two hundred one million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 34759 69518 104277 208554 312831 625662 164785781 329571562 494357343 988714686 1483072029 2966144058 5727788961779 11455577923558 17183366885337 34366733770674 51550100656011 103100201312022