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164503013357 is a prime number
BaseRepresentation
bin1001100100110100100…
…1001100011111101101
3120201121111102221001102
42121031021030133231
510143400232411412
6203323250252445
714612352354014
oct2311511143755
9521544387042
10164503013357
1163846731801
1227a6b887125
1312688159b77
147d679a5a7b
15442be738c2
hex264d24c7ed

164503013357 has 2 divisors, whose sum is σ = 164503013358. Its totient is φ = 164503013356.

The previous prime is 164503013333. The next prime is 164503013359. The reversal of 164503013357 is 753310305461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125783006281 + 38720007076 = 354659^2 + 196774^2 .

It is a cyclic number.

It is not a de Polignac number, because 164503013357 - 222 = 164498819053 is a prime.

It is a super-2 number, since 2×1645030133572 (a number of 23 digits) contains 22 as substring.

Together with 164503013359, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164503013357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164503013359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82251506678 + 82251506679.

It is an arithmetic number, because the mean of its divisors is an integer number (82251506679).

Almost surely, 2164503013357 is an apocalyptic number.

It is an amenable number.

164503013357 is a deficient number, since it is larger than the sum of its proper divisors (1).

164503013357 is an equidigital number, since it uses as much as digits as its factorization.

164503013357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 38.

The spelling of 164503013357 in words is "one hundred sixty-four billion, five hundred three million, thirteen thousand, three hundred fifty-seven".