Search a number
-
+
1035132413341 = 1388190380897
BaseRepresentation
bin11110001000000101011…
…00110010010110011101
310122221212011020221101011
433010002230302112131
5113424422344211331
62111311104015221
7134533355224045
oct17040254622635
93587764227334
101035132413341
11369aa7297044
12148747901511
13767c6a715c0
143815a380725
151bdd5c503b1
hexf102b3259d

1035132413341 has 8 divisors (see below), whose sum is σ = 1116023328504. Its totient is φ = 954422261760.

The previous prime is 1035132413143. The next prime is 1035132413387. The reversal of 1035132413341 is 1433142315301.

It can be written as a sum of positive squares in 4 ways, for example, as 78607336900 + 956525076441 = 280370^2 + 978021^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1035132413341 - 215 = 1035132380573 is a prime.

It is a super-2 number, since 2×10351324133412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035132410341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45178996 + ... + 45201901.

It is an arithmetic number, because the mean of its divisors is an integer number (139502916063).

Almost surely, 21035132413341 is an apocalyptic number.

It is an amenable number.

1035132413341 is a deficient number, since it is larger than the sum of its proper divisors (80890915163).

1035132413341 is an equidigital number, since it uses as much as digits as its factorization.

1035132413341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90381791.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 1035132413341 its reverse (1433142315301), we get a palindrome (2468274728642).

The spelling of 1035132413341 in words is "one trillion, thirty-five billion, one hundred thirty-two million, four hundred thirteen thousand, three hundred forty-one".

Divisors: 1 13 881 11453 90380897 1174951661 79625570257 1035132413341