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130015352334 = 23717383347507
BaseRepresentation
bin111100100010110000…
…1001101011000001110
3110102120222211020001210
41321011201031120032
54112232412233314
6135421144115250
712251621155230
oct1710541153016
9412528736053
10130015352334
115015930560a
1221245a65b26
13c35011b65a
146415544250
1535ae397559
hex1e4584d60e

130015352334 has 64 divisors (see below), whose sum is σ = 314747721216. Its totient is φ = 34952254464.

The previous prime is 130015352309. The next prime is 130015352347. The reversal of 130015352334 is 433253510031.

130015352334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1300153523343 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2713009 + ... + 2760515.

It is an arithmetic number, because the mean of its divisors is an integer number (4917933144).

Almost surely, 2130015352334 is an apocalyptic number.

130015352334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130015352334 is an abundant number, since it is smaller than the sum of its proper divisors (184732368882).

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

130015352334 is a wasteful number, since it uses less digits than its factorization.

130015352334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51369.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 130015352334 its reverse (433253510031), we get a palindrome (563268862365).

The spelling of 130015352334 in words is "one hundred thirty billion, fifteen million, three hundred fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 3833 7666 11499 22998 26831 47507 53662 65161 80493 95014 130322 142521 160986 195483 285042 332549 390966 456127 665098 807619 912254 997647 1368381 1615238 1995294 2422857 2736762 4845714 5653333 11306666 16959999 33919998 182094331 364188662 546282993 1092565986 1274660317 2549320634 3095603627 3823980951 6191207254 7647961902 9286810881 18573621762 21669225389 43338450778 65007676167 130015352334