Search a number
-
+
102146369 = 134723557
BaseRepresentation
bin1100001011010…
…10000101000001
321010012120110212
412011222011001
5202122140434
614045203505
72350141553
oct605520501
9233176425
10102146369
1152728096
122a260595
1318215750
14d7cd4d3
158e7a8ce
hex616a141

102146369 has 12 divisors (see below), whose sum is σ = 112425684. Its totient is φ = 92256864.

The previous prime is 102146309. The next prime is 102146389. The reversal of 102146369 is 963641201.

It can be written as a sum of positive squares in 2 ways, for example, as 13786369 + 88360000 = 3713^2 + 9400^2 .

It is not a de Polignac number, because 102146369 - 224 = 85369153 is a prime.

It is a super-2 number, since 2×1021463692 = 20867761399768322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102146309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26939 + ... + 30495.

It is an arithmetic number, because the mean of its divisors is an integer number (9368807).

Almost surely, 2102146369 is an apocalyptic number.

It is an amenable number.

102146369 is a deficient number, since it is larger than the sum of its proper divisors (10279315).

102146369 is an equidigital number, since it uses as much as digits as its factorization.

102146369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 102146369 is about 10106.7486859029. The cubic root of 102146369 is about 467.4562575486.

The spelling of 102146369 in words is "one hundred two million, one hundred forty-six thousand, three hundred sixty-nine".

Divisors: 1 13 47 611 2209 3557 28717 46241 167179 2173327 7857413 102146369