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13122302531130 = 23251317659743717
BaseRepresentation
bin1011111011110100011000…
…1011100101011000111010
31201110110221211021211200200
42332331012023211120322
53204443433421444010
643524145204143030
72523024614066502
oct276750613453072
951413854254620
1013122302531130
1141aa156754601
12157b234697a76
13742573bc2a30
143351a1098a02
1517b51b85dcc0
hexbef462e563a

13122302531130 has 96 divisors (see below), whose sum is σ = 38903767563024. Its totient is φ = 3040099043328.

The previous prime is 13122302531101. The next prime is 13122302531161. The reversal of 13122302531130 is 3113520322131.

13122302531130 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 302 + 5 + 311 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2167281564561 + 10955020966569 = 1472169^2 + 3309837^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13122302531094 and 13122302531103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329851969 + ... + 329891748.

Almost surely, 213122302531130 is an apocalyptic number.

13122302531130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122302531130 is an abundant number, since it is smaller than the sum of its proper divisors (25781465031894).

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

13122302531130 is a wasteful number, since it uses less digits than its factorization.

13122302531130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659743760 (or 659743757 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13122302531130 its reverse (3113520322131), we get a palindrome (16235822853261).

The spelling of 13122302531130 in words is "thirteen trillion, one hundred twenty-two billion, three hundred two million, five hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 659743717 1319487434 1979231151 3298718585 3958462302 5937693453 6597437170 8576668321 9896155755 11215643189 11875386906 17153336642 19792311510 22431286378 25730004963 29688467265 33646929567 42883341605 51460009926 56078215945 59376934530 67293859134 77190014889 85766683210 100940788701 112156431890 128650024815 145803361457 154380029778 168234647835 201881577402 257300049630 291606722914 336469295670 385950074445 437410084371 504703943505 729016807285 771900148890 874820168742 1009407887010 1312230253113 1458033614570 2187050421855 2624460506226 4374100843710 6561151265565 13122302531130