Search a number
-
+
12101001010098 = 237111337199273641
BaseRepresentation
bin1011000000010111101111…
…0111011101101110110010
31120211211210120022000202020
42300011323313131232302
53041230322224310343
641423042332132310
72356161041306550
oct260057367355662
946754716260666
1012101001010098
113946007663680
121435308907096
1369a1727011a0
142db997970bd0
1515eb94e8ab83
hexb017bdddbb2

12101001010098 has 256 divisors, whose sum is σ = 33541066137600. Its totient is φ = 2808728524800.

The previous prime is 12101001010069. The next prime is 12101001010099. The reversal of 12101001010098 is 89001010010121.

It is not an unprimeable number, because it can be changed into a prime (12101001010099) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44085358 + ... + 44358998.

It is an arithmetic number, because the mean of its divisors is an integer number (131019789600).

Almost surely, 212101001010098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101001010098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770533068800).

12101001010098 is an abundant number, since it is smaller than the sum of its proper divisors (21440065127502).

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

12101001010098 is a wasteful number, since it uses less digits than its factorization.

12101001010098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273913.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 12101001010098 in words is "twelve trillion, one hundred one billion, one million, ten thousand, ninety-eight".