Search a number
-
+
1013420301101 = 13245713121597
BaseRepresentation
bin11101011111101001000…
…11101001101100101101
310120212211000002100122222
432233310203221230231
5113100441044113401
62053320414045125
7133134333300215
oct16576443515455
93525730070588
101013420301101
1136087538182a
121444a84a97a5
1374746769300
143709a93d245
151b564a3bc1b
hexebf48e9b2d

1013420301101 has 12 divisors (see below), whose sum is σ = 1099773614772. Its totient is φ = 933417853056.

The previous prime is 1013420301017. The next prime is 1013420301139. The reversal of 1013420301101 is 1011030243101.

It can be written as a sum of positive squares in 6 ways, for example, as 133480622500 + 879939678601 = 365350^2 + 938051^2 .

It is a de Polignac number, because none of the positive numbers 2k-1013420301101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013420301101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013420301701) 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, 6483566 + ... + 6638031.

It is an arithmetic number, because the mean of its divisors is an integer number (91647801231).

Almost surely, 21013420301101 is an apocalyptic number.

It is an amenable number.

1013420301101 is a deficient number, since it is larger than the sum of its proper divisors (86353313671).

1013420301101 is a wasteful number, since it uses less digits than its factorization.

1013420301101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13122080 (or 13122067 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1013420301101 its reverse (1011030243101), we get a palindrome (2024450544202).

The spelling of 1013420301101 in words is "one trillion, thirteen billion, four hundred twenty million, three hundred one thousand, one hundred one".

Divisors: 1 13 169 457 5941 77233 13121597 170580761 2217549893 5996569829 77955407777 1013420301101