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130010240340 = 223253132307601
BaseRepresentation
bin111100100010100110…
…1101101010101010100
3110102120122012111201200
41321011031231111110
54112230110142330
6135420442352500
712251526544401
oct1710515552524
9412518174650
10130010240340
1150156433922
12212441bb730
13c34c04b8c6
1464149b32a8
1535adbd7a60
hex1e4536d554

130010240340 has 72 divisors (see below), whose sum is σ = 395624517288. Its totient is φ = 34558617600.

The previous prime is 130010240291. The next prime is 130010240357. The reversal of 130010240340 is 43042010031.

130010240340 is a `hidden beast` number, since 1 + 300 + 1 + 0 + 24 + 0 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 492307344 + 129517932996 = 22188^2 + 359886^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1097461 + ... + 1210140.

Almost surely, 2130010240340 is an apocalyptic number.

130010240340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130010240340 is an abundant number, since it is smaller than the sum of its proper divisors (265614276948).

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

130010240340 is a wasteful number, since it uses less digits than its factorization.

130010240340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307929 (or 2307924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130010240340 its reverse (43042010031), we get a palindrome (173052250371).

The spelling of 130010240340 in words is "one hundred thirty billion, ten million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 313 626 939 1252 1565 1878 2817 3130 3756 4695 5634 6260 9390 11268 14085 18780 28170 56340 2307601 4615202 6922803 9230404 11538005 13845606 20768409 23076010 27691212 34614015 41536818 46152020 69228030 83073636 103842045 138456060 207684090 415368180 722279113 1444558226 2166837339 2889116452 3611395565 4333674678 6500512017 7222791130 8667349356 10834186695 13001024034 14445582260 21668373390 26002048068 32502560085 43336746780 65005120170 130010240340