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130123135350 = 2325213181122891
BaseRepresentation
bin111100100101111110…
…0010111100101110110
3110102212111122011120100
41321023330113211312
54112443010312400
6135435554214530
712254400254355
oct1711374274566
9412774564510
10130123135350
115020413258a
1221275b84446
13c3695588a0
14642599d99c
1535b8a88100
hex1e4bf17976

130123135350 has 144 divisors (see below), whose sum is σ = 378572738544. Its totient is φ = 31853088000.

The previous prime is 130123135313. The next prime is 130123135357. The reversal of 130123135350 is 53531321031.

130123135350 is a `hidden beast` number, since 1 + 3 + 0 + 123 + 1 + 3 + 535 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130123135357) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 997405 + ... + 1120295.

It is an arithmetic number, because the mean of its divisors is an integer number (2628977351).

Almost surely, 2130123135350 is an apocalyptic number.

130123135350 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 130123135350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189286369272).

130123135350 is an abundant number, since it is smaller than the sum of its proper divisors (248449603194).

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

130123135350 is a wasteful number, since it uses less digits than its factorization.

130123135350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123103 (or 123095 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 130123135350 its reverse (53531321031), we get a palindrome (183654456381).

The spelling of 130123135350 in words is "one hundred thirty billion, one hundred twenty-three million, one hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 181 195 225 234 325 362 390 450 543 585 650 905 975 1086 1170 1629 1810 1950 2353 2715 2925 3258 4525 4706 5430 5850 7059 8145 9050 11765 13575 14118 16290 21177 23530 27150 35295 40725 42354 58825 70590 81450 105885 117650 122891 176475 211770 245782 352950 368673 529425 614455 737346 1058850 1106019 1228910 1597583 1843365 2212038 3072275 3195166 3686730 4792749 5530095 6144550 7987915 9216825 9585498 11060190 14378247 15975830 18433650 22243271 23963745 27650475 28756494 39939575 44486542 47927490 55300950 66729813 71891235 79879150 111216355 119818725 133459626 143782470 200189439 222432710 239637450 289162523 333649065 359456175 400378878 556081775 578325046 667298130 718912350 867487569 1000947195 1112163550 1445812615 1668245325 1734975138 2001894390 2602462707 2891625230 3336490650 4337437845 5004735975 5204925414 7229063075 8674875690 10009471950 13012313535 14458126150 21687189225 26024627070 43374378450 65061567675 130123135350