Search a number
-
+
1305241323102 = 233411673530179
BaseRepresentation
bin10010111111100110011…
…100100000011001011110
311121210001111211020212000
4102333212130200121132
5132341113234314402
62435341455223130
7163205045121633
oct22774634403136
94553044736760
101305241323102
11463605776882
12190b6a817aa6
1396111c4b162
144726170818a
1523e44149c1c
hex12fe672065e

1305241323102 has 64 divisors (see below), whose sum is σ = 2989074009600. Its totient is φ = 421926874560.

The previous prime is 1305241323049. The next prime is 1305241323109. The reversal of 1305241323102 is 2013231425031.

1305241323102 is a `hidden beast` number, since 1 + 3 + 0 + 524 + 1 + 32 + 3 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305241323109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395352 + ... + 2134827.

It is an arithmetic number, because the mean of its divisors is an integer number (46704281400).

Almost surely, 21305241323102 is an apocalyptic number.

1305241323102 is an abundant number, since it is smaller than the sum of its proper divisors (1683832686498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305241323102 is a wasteful number, since it uses less digits than its factorization.

1305241323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530398 (or 3530392 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1305241323102 its reverse (2013231425031), we get a palindrome (3318472748133).

The spelling of 1305241323102 in words is "one trillion, three hundred five billion, two hundred forty-one million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 167 246 334 369 501 738 1002 1107 1503 2214 3006 4509 6847 9018 13694 20541 41082 61623 123246 184869 369738 3530179 7060358 10590537 21181074 31771611 63543222 95314833 144737339 190629666 289474678 434212017 589539893 868424034 1179079786 1302636051 1768619679 2605272102 3537239358 3907908153 5305859037 7815816306 10611718074 15917577111 24171135613 31835154222 48342271226 72513406839 145026813678 217540220517 435080441034 652620661551 1305241323102