Search a number
-
+
103101111112122 = 2328964357747261
BaseRepresentation
bin10111011100010100011001…
…000110101001000110111010
3111112001100222200222111021100
4113130110121012221012322
5102003202033421041442
61003135555132152230
730500544434521644
oct2734243106510672
9445040880874240
10103101111112122
112a93aa32422a32
12b691829608676
13456b515727076
141b6619855b894
15bdbd6aa7b84c
hex5dc5191a91ba

103101111112122 has 24 divisors (see below), whose sum is σ = 225895692889620. Its totient is φ = 33980890553280.

The previous prime is 103101111112081. The next prime is 103101111112123. The reversal of 103101111112122 is 221211111101301.

103101111112122 is a `hidden beast` number, since 10 + 310 + 1 + 111 + 112 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94102785034281 + 8998326077841 = 9700659^2 + 2999721^2 .

It is a super-2 number, since 2×1031011111121222 (a number of 29 digits) contains 22 as substring.

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 = 103101111112095 and 103101111112104.

It is not an unprimeable number, because it can be changed into a prime (103101111112123) by changing a digit.

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, 32178872029 + ... + 32178875232.

Almost surely, 2103101111112122 is an apocalyptic number.

103101111112122 is an abundant number, since it is smaller than the sum of its proper divisors (122794581777498).

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

103101111112122 is a wasteful number, since it uses less digits than its factorization.

103101111112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64357747358 (or 64357747355 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 103101111112122 its reverse (221211111101301), we get a palindrome (324312222213423).

The spelling of 103101111112122 in words is "one hundred three trillion, one hundred one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 64357747261 128715494522 193073241783 386146483566 579219725349 1158439450698 5727839506229 11455679012458 17183518518687 34367037037374 51550555556061 103101111112122