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130267030131 = 32724356912073
BaseRepresentation
bin111100101010010000…
…1010010001001110011
3110110020112101210002200
41321110201102021303
54113241324431011
6135502134314243
712261065325600
oct1712441221163
9413215353080
10130267030131
1150278384897
12212b61b8983
13c3902ca924
14643ab396a7
1535c650d856
hex1e54852273

130267030131 has 72 divisors (see below), whose sum is σ = 224386596720. Its totient is φ = 72573387264.

The previous prime is 130267030121. The next prime is 130267030151. The reversal of 130267030131 is 131030762031.

It is not a de Polignac number, because 130267030131 - 26 = 130267030067 is a prime.

It is a super-2 number, since 2×1302670301312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130267030095 and 130267030104.

It is not an unprimeable number, because it can be changed into a prime (130267030121) 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 71 ways as a sum of consecutive naturals, for example, 10783911 + ... + 10795983.

It is an arithmetic number, because the mean of its divisors is an integer number (3116480510).

Almost surely, 2130267030131 is an apocalyptic number.

130267030131 is a deficient number, since it is larger than the sum of its proper divisors (94119566589).

130267030131 is a wasteful number, since it uses less digits than its factorization.

130267030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 130267030131 its reverse (131030762031), we get a palindrome (261297792162).

The spelling of 130267030131 in words is "one hundred thirty billion, two hundred sixty-seven million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 569 903 1707 2107 2709 3983 5121 6321 11949 12073 18963 24467 27881 35847 36219 73401 83643 84511 108657 171269 220203 250929 253533 513807 519139 591577 760599 1198883 1541421 1557417 1774731 3596649 3633973 4672251 5324193 6869537 10789947 10901919 20608611 25437811 32705757 48086759 61825833 76313433 144260277 228940299 295390091 336607313 432780831 886170273 1009821939 2067730637 2658510819 3029465817 6203191911 14474114459 18609575733 43422343377 130267030131