Search a number
-
+
121114100 = 22521211141
BaseRepresentation
bin1110011100000…
…00110111110100
322102220020022102
413032000313310
5222001122400
620003521232
73000311222
oct716006764
9272806272
10121114100
11624028a8
1234689218
131c127063
1412129b12
15a9759d5
hex7380df4

121114100 has 18 divisors (see below), whose sum is σ = 262817814. Its totient is φ = 48445600.

The previous prime is 121114073. The next prime is 121114109. The reversal of 121114100 is 1411121.

It can be written as a sum of positive squares in 3 ways, for example, as 729316 + 120384784 = 854^2 + 10972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121114109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605471 + ... + 605670.

Almost surely, 2121114100 is an apocalyptic number.

121114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121114100 is an abundant number, since it is smaller than the sum of its proper divisors (141703714).

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

121114100 is a wasteful number, since it uses less digits than its factorization.

121114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211155 (or 1211148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 121114100 is about 11005.1851415594. The cubic root of 121114100 is about 494.7641634106.

Adding to 121114100 its reverse (1411121), we get a palindrome (122525221).

The spelling of 121114100 in words is "one hundred twenty-one million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1211141 2422282 4844564 6055705 12111410 24222820 30278525 60557050 121114100