Search a number
-
+
121131124190999 = 13293181101006827
BaseRepresentation
bin11011100010101100001001…
…101000001110111100010111
3120212220000121022111112011222
4123202230021220032330113
5111334103020243102444
61105342511545520555
734341302115156266
oct3342541150167427
9525800538445158
10121131124190999
113566146a7a65aa
12117040344a315b
13527880146a8c0
1421caac5dba5dd
15e00d72793eee
hex6e2b09a0ef17

121131124190999 has 16 divisors (see below), whose sum is σ = 134989565212320. Its totient is φ = 107923773444480.

The previous prime is 121131124190917. The next prime is 121131124191013. The reversal of 121131124190999 is 999091421131121.

It is not a de Polignac number, because 121131124190999 - 28 = 121131124190743 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 121131124190999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121131124190099) 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, 49304177 + ... + 51702650.

It is an arithmetic number, because the mean of its divisors is an integer number (8436847825770).

Almost surely, 2121131124190999 is an apocalyptic number.

121131124190999 is a deficient number, since it is larger than the sum of its proper divisors (13858441021321).

121131124190999 is a wasteful number, since it uses less digits than its factorization.

121131124190999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101010050.

The product of its (nonzero) digits is 314928, while the sum is 53.

The spelling of 121131124190999 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, one hundred twenty-four million, one hundred ninety thousand, nine hundred ninety-nine".

Divisors: 1 13 29 377 3181 41353 92249 1199237 101006827 1313088751 2929197983 38079573779 321302716687 4176935316931 9317778783923 121131124190999