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105214253153 is a prime number
BaseRepresentation
bin110000111111101000…
…0100001100001100001
3101001120120011211212212
41201333100201201201
53210434322100103
6120200150331505
710413210252512
oct1417720414141
9331516154785
10105214253153
1140691780729
1218484059b95
139bc9b76039
145141774a09
152b0bdb37d8
hex187f421861

105214253153 has 2 divisors, whose sum is σ = 105214253154. Its totient is φ = 105214253152.

The previous prime is 105214253101. The next prime is 105214253197. The reversal of 105214253153 is 351352412501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60748939729 + 44465313424 = 246473^2 + 210868^2 .

It is a cyclic number.

It is not a de Polignac number, because 105214253153 - 230 = 104140511329 is a prime.

It is a super-2 number, since 2×1052142531532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105214253653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52607126576 + 52607126577.

It is an arithmetic number, because the mean of its divisors is an integer number (52607126577).

Almost surely, 2105214253153 is an apocalyptic number.

It is an amenable number.

105214253153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105214253153 is an equidigital number, since it uses as much as digits as its factorization.

105214253153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 105214253153 its reverse (351352412501), we get a palindrome (456566665654).

The spelling of 105214253153 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, one hundred fifty-three".