Search a number
-
+
1326134193241 = 11213280532
BaseRepresentation
bin10011010011000011110…
…000011110110001011001
311200202222120110000200011
4103103003300132301121
5133211410323140431
62453115002041521
7164544561440524
oct23230360366131
94622876400604
101326134193241
114714571a8400
1219501b7a92a1
13980915c4100
1448284411bbb
1524768484cb1
hex134c3c1ec59

1326134193241 has 27 divisors (see below), whose sum is σ = 1578599866557. Its totient is φ = 1112701692960.

The previous prime is 1326134193229. The next prime is 1326134193281. The reversal of 1326134193241 is 1423914316231.

It is a happy number.

The square root of 1326134193241 is 1151579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13368215641 + 1312765977600 = 115621^2 + 1145760^2 .

It is not a de Polignac number, because 1326134193241 - 29 = 1326134192729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1326134193194 and 1326134193203.

It is not an unprimeable number, because it can be changed into a prime (1326134193221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 164671771 + ... + 164679823.

Almost surely, 21326134193241 is an apocalyptic number.

1326134193241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1326134193241 is the 1151579-th square number.

1326134193241 is the 575790-th centered octagonal number.

It is an amenable number.

1326134193241 is a deficient number, since it is larger than the sum of its proper divisors (252465673316).

1326134193241 is an frugal number, since it uses more digits than its factorization.

1326134193241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 8077 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 1326134193241 in words is "one trillion, three hundred twenty-six billion, one hundred thirty-four million, one hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 11 13 121 143 169 1573 1859 8053 20449 88583 104689 974413 1151579 1360957 12667369 14970527 64850809 164675797 713358899 843060517 7846947889 9273665687 10959786721 102010322557 120557653931 1326134193241