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130661216235 = 34511231275179
BaseRepresentation
bin111100110110000000…
…0111110111111101011
3110111021000010111210000
41321230000332333223
54120043232404420
6140005215154043
712303623004324
oct1715400767753
9414230114700
10130661216235
115045a939730
12213a6215923
13c423b84b44
14647722944b
1535eae24690
hex1e6c03efeb

130661216235 has 80 divisors (see below), whose sum is σ = 266624835840. Its totient is φ = 60596458560.

The previous prime is 130661216221. The next prime is 130661216293. The reversal of 130661216235 is 532612166031.

130661216235 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 6 + 1 + 21 + 623 + 5 = 666.

It is not a de Polignac number, because 130661216235 - 213 = 130661208043 is a prime.

It is a super-3 number, since 3×1306612162353 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130661216235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 535125 + ... + 740054.

It is an arithmetic number, because the mean of its divisors is an integer number (3332810448).

Almost surely, 2130661216235 is an apocalyptic number.

130661216235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130661216235 is an abundant number, since it is smaller than the sum of its proper divisors (135963619605).

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

130661216235 is a wasteful number, since it uses less digits than its factorization.

130661216235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275230 (or 1275221 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 130661216235 in words is "one hundred thirty billion, six hundred sixty-one million, two hundred sixteen thousand, two hundred thirty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 81 99 115 135 165 207 253 297 345 405 495 621 759 891 1035 1265 1485 1863 2277 3105 3795 4455 6831 9315 11385 20493 34155 102465 1275179 3825537 6375895 11476611 14026969 19127685 29329117 34429833 42080907 57383055 70134845 87987351 103289499 126242721 146645585 172149165 210404535 263962053 322620287 378728163 439936755 516447495 631213605 791886159 967860861 1136184489 1319810265 1613101435 1893640815 2375658477 2903582583 3959430795 4839304305 5680922445 8710747749 11878292385 14517912915 26132243247 43553738745 130661216235