Search a number
-
+
121040100 = 223252134489
BaseRepresentation
bin1110011011011…
…10110011100100
322102202110210200
413031232303210
5221441240400
620002150500
72666552406
oct715566344
9272673720
10121040100
1162362245
1234652430
131c0cc47c
141210ab76
15a95db00
hex736ece4

121040100 has 54 divisors (see below), whose sum is σ = 379396290. Its totient is φ = 32277120.

The previous prime is 121040083. The next prime is 121040107. The reversal of 121040100 is 1040121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17489124 + 103550976 = 4182^2 + 10176^2 .

It is a super-3 number, since 3×1210401003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121040107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66345 + ... + 68144.

Almost surely, 2121040100 is an apocalyptic number.

121040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121040100 is an abundant number, since it is smaller than the sum of its proper divisors (258356190).

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

121040100 is a wasteful number, since it uses less digits than its factorization.

121040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134509 (or 134499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121040100 is about 11001.8225762825. The cubic root of 121040100 is about 494.6633768870.

Adding to 121040100 its reverse (1040121), we get a palindrome (122080221).

The spelling of 121040100 in words is "one hundred twenty-one million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 134489 268978 403467 537956 672445 806934 1210401 1344890 1613868 2017335 2420802 2689780 3362225 4034670 4841604 6052005 6724450 8069340 10086675 12104010 13448900 20173350 24208020 30260025 40346700 60520050 121040100