Search a number
-
+
1405102155257 is a prime number
BaseRepresentation
bin10100011100100110100…
…111010110010111111001
311222022210222121010201002
4110130212213112113321
5141010122122432012
62553254531334345
7203341512154163
oct24344647262771
94868728533632
101405102155257
114a199a599029
121a8399a513b5
13a2667982258
144c01609d933
152683b0447c2
hex147269d65f9

1405102155257 has 2 divisors, whose sum is σ = 1405102155258. Its totient is φ = 1405102155256.

The previous prime is 1405102155251. The next prime is 1405102155263. The reversal of 1405102155257 is 7525512015041.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1405102155251) and next prime (1405102155263).

It can be written as a sum of positive squares in only one way, i.e., 1381179655696 + 23922499561 = 1175236^2 + 154669^2 .

It is a cyclic number.

It is not a de Polignac number, because 1405102155257 - 222 = 1405097960953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1405102155257.

It is not a weakly prime, because it can be changed into another prime (1405102155251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702551077628 + 702551077629.

It is an arithmetic number, because the mean of its divisors is an integer number (702551077629).

Almost surely, 21405102155257 is an apocalyptic number.

It is an amenable number.

1405102155257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405102155257 is an equidigital number, since it uses as much as digits as its factorization.

1405102155257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70000, while the sum is 38.

The spelling of 1405102155257 in words is "one trillion, four hundred five billion, one hundred two million, one hundred fifty-five thousand, two hundred fifty-seven".