Search a number
-
+
2102001998153 is a prime number
BaseRepresentation
bin11110100101101001000…
…101010001100101001001
321102221122010121020101112
4132211221011101211021
5233414400002420103
64245351341500105
7304602366116621
oct36455105214511
97387563536345
102102001998153
117404aa368812
1229b470271635
131232aaa6a7b5
1473a47769881
1539a27d71cd8
hex1e969151949

2102001998153 has 2 divisors, whose sum is σ = 2102001998154. Its totient is φ = 2102001998152.

The previous prime is 2102001998119. The next prime is 2102001998191. The reversal of 2102001998153 is 3518991002012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1431966435904 + 670035562249 = 1196648^2 + 818557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102001998153 - 210 = 2102001997129 is a prime.

It is a super-2 number, since 2×21020019981532 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102001998153.

It is not a weakly prime, because it can be changed into another prime (2102001998053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051000999076 + 1051000999077.

It is an arithmetic number, because the mean of its divisors is an integer number (1051000999077).

Almost surely, 22102001998153 is an apocalyptic number.

It is an amenable number.

2102001998153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102001998153 is an equidigital number, since it uses as much as digits as its factorization.

2102001998153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 2102001998153 in words is "two trillion, one hundred two billion, one million, nine hundred ninety-eight thousand, one hundred fifty-three".