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130051425348 = 223213172961549
BaseRepresentation
bin111100100011110101…
…0110100010001000100
3110102200111200220221100
41321013222310101010
54112321131102343
6135424513220100
712252536606325
oct1710752642104
9412614626840
10130051425348
1150177703819
1221255b61630
13c35773b930
14641a25444c
1535b26209d3
hex1e47ab4444

130051425348 has 108 divisors (see below), whose sum is σ = 376079512900. Its totient is φ = 37661912064.

The previous prime is 130051425347. The next prime is 130051425353. The reversal of 130051425348 is 843524150031.

130051425348 is a `hidden beast` number, since 1 + 30 + 0 + 51 + 42 + 534 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7494018624 + 122557406724 = 86568^2 + 350082^2 .

It is a super-2 number, since 2×1300514253482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130051425347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345523 + ... + 616026.

Almost surely, 2130051425348 is an apocalyptic number.

130051425348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130051425348 is an abundant number, since it is smaller than the sum of its proper divisors (246028087552).

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

130051425348 is a wasteful number, since it uses less digits than its factorization.

130051425348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961606 (or 961584 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 130051425348 its reverse (843524150031), we get a palindrome (973575575379).

The spelling of 130051425348 in words is "one hundred thirty billion, fifty-one million, four hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 289 306 442 468 578 612 663 867 884 1156 1326 1734 1989 2601 2652 3468 3757 3978 5202 7514 7956 10404 11271 15028 22542 33813 45084 67626 135252 961549 1923098 2884647 3846196 5769294 8653941 11538588 12500137 16346333 17307882 25000274 32692666 34615764 37500411 49038999 50000548 65385332 75000822 98077998 112501233 147116997 150001644 196155996 212502329 225002466 277887661 294233994 425004658 450004932 555775322 588467988 637506987 833662983 850009316 1111550644 1275013974 1667325966 1912520961 2500988949 2550027948 3334651932 3612539593 3825041922 5001977898 7225079186 7650083844 10003955796 10837618779 14450158372 21675237558 32512856337 43350475116 65025712674 130051425348