Search a number
-
+
1340101433133 = 32615574382381
BaseRepresentation
bin10011100000000100010…
…001010001011100101101
311202010000222021022211100
4103200010101101130231
5133424011431330013
62503344544313313
7165550651143531
oct23400421213455
94663028238740
101340101433133
11477374360471
12197879312839
13994a91a28b8
1448c0b3dbbc1
1524cd4796473
hex1380445172d

1340101433133 has 24 divisors (see below), whose sum is σ = 1970967539736. Its totient is φ = 877177180800.

The previous prime is 1340101433129. The next prime is 1340101433179. The reversal of 1340101433133 is 3313341010431.

1340101433133 is a `hidden beast` number, since 1 + 340 + 1 + 0 + 1 + 4 + 3 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66810359529 + 1273291073604 = 258477^2 + 1128402^2 .

It is not a de Polignac number, because 1340101433133 - 22 = 1340101433129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1340101433097 and 1340101433106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340101433533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885398 + ... + 2496983.

It is an arithmetic number, because the mean of its divisors is an integer number (82123647489).

Almost surely, 21340101433133 is an apocalyptic number.

It is an amenable number.

1340101433133 is a deficient number, since it is larger than the sum of its proper divisors (630866106603).

1340101433133 is a wasteful number, since it uses less digits than its factorization.

1340101433133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383005 (or 4383002 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1340101433133 its reverse (3313341010431), we get a palindrome (4653442443564).

The spelling of 1340101433133 in words is "one trillion, three hundred forty billion, one hundred one million, four hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 61 183 549 557 1671 5013 33977 101931 305793 4382381 13147143 39441429 267325241 801975723 2405927169 2440986217 7322958651 21968875953 148900159237 446700477711 1340101433133