Search a number
-
+
105214253653 is a prime number
BaseRepresentation
bin110000111111101000…
…0100001101001010101
3101001120120011212120101
41201333100201221111
53210434322104103
6120200150334101
710413210254125
oct1417720415125
9331516155511
10105214253653
1140691781043
121848405a331
139bc9b76332
145141774c85
152b0bdb3a1d
hex187f421a55

105214253653 has 2 divisors, whose sum is σ = 105214253654. Its totient is φ = 105214253652.

The previous prime is 105214253591. The next prime is 105214253663. The reversal of 105214253653 is 356352412501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104121091684 + 1093161969 = 322678^2 + 33063^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105214253653 is a prime.

It is a super-2 number, since 2×1052142536532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105214253663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52607126826 + 52607126827.

It is an arithmetic number, because the mean of its divisors is an integer number (52607126827).

Almost surely, 2105214253653 is an apocalyptic number.

It is an amenable number.

105214253653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105214253653 is an equidigital number, since it uses as much as digits as its factorization.

105214253653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 105214253653 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, six hundred fifty-three".