Search a number
-
+
123121000101 = 3114398498723
BaseRepresentation
bin111001010101010010…
…1010101111010100101
3102202210111212211202210
41302222211111322211
54004122434000401
6132321102154033
711616024143031
oct1625245257245
9382714784683
10123121000101
114824065a750
121ba40b82919
13b7c1985aa8
145d5da491c1
153308e9b4d6
hex1caa955ea5

123121000101 has 16 divisors (see below), whose sum is σ = 179493050880. Its totient is φ = 74448804720.

The previous prime is 123121000097. The next prime is 123121000129. The reversal of 123121000101 is 101000121321.

It is not a de Polignac number, because 123121000101 - 22 = 123121000097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121000151) 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, 4234875 + ... + 4263848.

It is an arithmetic number, because the mean of its divisors is an integer number (11218315680).

Almost surely, 2123121000101 is an apocalyptic number.

123121000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123121000101 is a deficient number, since it is larger than the sum of its proper divisors (56372050779).

123121000101 is a wasteful number, since it uses less digits than its factorization.

123121000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8499176.

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

Adding to 123121000101 its reverse (101000121321), we get a palindrome (224121121422).

The spelling of 123121000101 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 439 1317 4829 14487 8498723 25496169 93485953 280457859 3730939397 11192818191 41040333367 123121000101