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130122404514 = 2321932936343
BaseRepresentation
bin111100100101111100…
…1100101001010100010
3110102212110021001001100
41321023321211022202
54112442313421024
6135435530415230
712254361121554
oct1711371451242
9412773231040
10130122404514
1150203783493
1221275891516
13c36936103b
14642584d4d4
1535b89917c9
hex1e4be652a2

130122404514 has 96 divisors (see below), whose sum is σ = 307862755200. Its totient is φ = 39673253088.

The previous prime is 130122404509. The next prime is 130122404519. The reversal of 130122404514 is 415404221031.

130122404514 is a `hidden beast` number, since 130 + 12 + 2 + 4 + 0 + 4 + 514 = 666.

It is an interprime number because it is at equal distance from previous prime (130122404509) and next prime (130122404519).

It is not an unprimeable number, because it can be changed into a prime (130122404519) 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 47 ways as a sum of consecutive naturals, for example, 3562227 + ... + 3598569.

It is an arithmetic number, because the mean of its divisors is an integer number (3206903700).

Almost surely, 2130122404514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122404514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153931377600).

130122404514 is an abundant number, since it is smaller than the sum of its proper divisors (177740350686).

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

130122404514 is a wasteful number, since it uses less digits than its factorization.

130122404514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36437 (or 36396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 130122404514 its reverse (415404221031), we get a palindrome (545526625545).

The spelling of 130122404514 in words is "one hundred thirty billion, one hundred twenty-two million, four hundred four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 361 522 551 722 1083 1102 1653 2166 3249 3306 4959 6498 6859 9918 10469 13718 20577 20938 31407 36343 41154 61731 62814 72686 94221 109029 123462 188442 198911 218058 327087 397822 596733 654174 690517 1053947 1193466 1381034 1790199 2071551 2107894 3161841 3580398 4143102 6214653 6323682 9485523 12429306 13119823 18971046 20024993 26239646 39359469 40049986 60074979 78718938 118078407 120149958 180224937 236156814 249276637 360449874 380474867 498553274 747829911 760949734 1141424601 1495659822 2243489733 2282849202 3424273803 4486979466 6848547606 7229022473 14458044946 21687067419 43374134838 65061202257 130122404514