Search a number
-
+
13001402052 = 22321721244121
BaseRepresentation
bin11000001101111000…
…11010011011000100
31020120002102122201100
430012330122123010
5203111324331202
65550041100100
7640121044152
oct140674323304
936502378640
1013001402052
115571a52881
12262a187630
1312c2772c12
148b4a123d2
1551162c41c
hex306f1a6c4

13001402052 has 36 divisors (see below), whose sum is σ = 34797871836. Its totient is φ = 4078871040.

The previous prime is 13001402039. The next prime is 13001402083. The reversal of 13001402052 is 25020410031.

It can be written as a sum of positive squares in 2 ways, for example, as 7120659456 + 5880742596 = 84384^2 + 76686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10621449 + ... + 10622672.

It is an arithmetic number, because the mean of its divisors is an integer number (966607551).

Almost surely, 213001402052 is an apocalyptic number.

13001402052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13001402052 is an abundant number, since it is smaller than the sum of its proper divisors (21796469784).

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

13001402052 is a wasteful number, since it uses less digits than its factorization.

13001402052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21244148 (or 21244143 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13001402052 its reverse (25020410031), we get a palindrome (38021812083).

The spelling of 13001402052 in words is "thirteen billion, one million, four hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21244121 42488242 63732363 84976484 127464726 191197089 254929452 361150057 382394178 722300114 764788356 1083450171 1444600228 2166900342 3250350513 4333800684 6500701026 13001402052