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130013103132 = 223311176437567
BaseRepresentation
bin111100100010101100…
…0101000010000011100
3110102120211120221202000
41321011120220100130
54112231323300012
6135421024002300
712251563066623
oct1710530502034
9412524527660
10130013103132
1150158009770
1221245160390
13c34c811973
14641511a6ba
1535ae0a0ddc
hex1e4562841c

130013103132 has 96 divisors (see below), whose sum is σ = 389344112640. Its totient is φ = 37080380160.

The previous prime is 130013103127. The next prime is 130013103133. The reversal of 130013103132 is 231301310031.

It is a happy number.

130013103132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013103133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3198588 + ... + 3238979.

It is an arithmetic number, because the mean of its divisors is an integer number (4055667840).

Almost surely, 2130013103132 is an apocalyptic number.

130013103132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130013103132 is an abundant number, since it is smaller than the sum of its proper divisors (259331009508).

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

130013103132 is a wasteful number, since it uses less digits than its factorization.

130013103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437608 (or 6437600 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130013103132 its reverse (231301310031), we get a palindrome (361314413163).

The spelling of 130013103132 in words is "one hundred thirty billion, thirteen million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 6437567 12875134 19312701 25750268 38625402 57938103 70813237 77250804 109438639 115876206 141626474 173814309 212439711 218877278 231752412 283252948 328315917 347628618 424879422 437754556 637319133 656631834 695257236 849758844 984947751 1203825029 1274638266 1313263668 1911957399 1969895502 2407650058 2549276532 2954843253 3611475087 3823914798 3939791004 4815300116 5909686506 7222950174 7647829596 10834425261 11819373012 14445900348 21668850522 32503275783 43337701044 65006551566 130013103132