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1345130315430 = 2351137599183917
BaseRepresentation
bin10011100100110000000…
…000111011111010100110
311202121000110000000110020
4103210300000323322212
5134014311330043210
62505535550540010
7166116404013126
oct23446000737246
94677013000406
101345130315430
11479514aa5140
12198841507606
1399acb0047b5
144916725ac86
1524ecb005770
hex1393003bea6

1345130315430 has 128 divisors (see below), whose sum is σ = 3623037465600. Its totient is φ = 316747491840.

The previous prime is 1345130315423. The next prime is 1345130315447. The reversal of 1345130315430 is 345130315431.

It is a super-2 number, since 2×13451303154302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1345130315391 and 1345130315400.

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 63 ways as a sum of consecutive naturals, for example, 7221832 + ... + 7405748.

It is an arithmetic number, because the mean of its divisors is an integer number (28304980200).

Almost surely, 21345130315430 is an apocalyptic number.

1345130315430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345130315430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811518732800).

1345130315430 is an abundant number, since it is smaller than the sum of its proper divisors (2277907150170).

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

1345130315430 is a wasteful number, since it uses less digits than its factorization.

1345130315430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184574.

The product of its (nonzero) digits is 32400, while the sum is 33.

Subtracting from 1345130315430 its reverse (345130315431), we obtain a palindrome (999999999999).

The spelling of 1345130315430 in words is "one trillion, three hundred forty-five billion, one hundred thirty million, three hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 599 814 1110 1198 1221 1797 2035 2442 2995 3594 4070 5990 6105 6589 8985 12210 13178 17970 19767 22163 32945 39534 44326 65890 66489 98835 110815 132978 183917 197670 221630 243793 332445 367834 487586 551751 664890 731379 919585 1103502 1218965 1462758 1839170 2023087 2437930 2758755 3656895 4046174 5517510 6069261 6804929 7313790 10115435 12138522 13609858 20230870 20414787 30346305 34024645 40829574 60692610 68049290 74854219 102073935 110166283 149708438 204147870 220332566 224562657 330498849 374271095 449125314 550831415 660997698 748542190 1101662830 1122813285 1211829113 1652494245 2245626570 2423658226 3304988490 3635487339 4076152471 6059145565 7270974678 8152304942 12118291130 12228457413 18177436695 20380762355 24456914826 36354873390 40761524710 44837677181 61142287065 89675354362 122284574130 134513031543 224188385905 269026063086 448376771810 672565157715 1345130315430