Search a number
-
+
130103321010 = 235131726217487
BaseRepresentation
bin111100100101011000…
…0110010000110110010
3110102211010100111101220
41321022300302012302
54112422422233020
6135434005405510
712254036660535
oct1711260620662
9412733314356
10130103321010
11501a3a297a3
122126b409896
13c36540bb20
1464230c2a1c
1535b6e72240
hex1e4ac321b2

130103321010 has 128 divisors (see below), whose sum is σ = 356230877184. Its totient is φ = 30126059520.

The previous prime is 130103321003. The next prime is 130103321021. The reversal of 130103321010 is 10123301031.

It is a super-2 number, since 2×1301033210102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 17373487 + ... + 17380973.

It is an arithmetic number, because the mean of its divisors is an integer number (2783053728).

Almost surely, 2130103321010 is an apocalyptic number.

130103321010 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 130103321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178115438592).

130103321010 is an abundant number, since it is smaller than the sum of its proper divisors (226127556174).

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

130103321010 is a wasteful number, since it uses less digits than its factorization.

130103321010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 130103321010 its reverse (10123301031), we get a palindrome (140226622041).

The spelling of 130103321010 in words is "one hundred thirty billion, one hundred three million, three hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 2621 3315 5242 6630 7487 7863 13105 14974 15726 22461 26210 34073 37435 39315 44557 44922 68146 74870 78630 89114 97331 102219 112305 127279 133671 170365 194662 204438 222785 224610 254558 267342 291993 340730 381837 445570 486655 511095 579241 583986 636395 668355 763674 973310 1022190 1158482 1272790 1336710 1459965 1654627 1737723 1909185 2896205 2919930 3309254 3475446 3818370 4963881 5792410 8273135 8688615 9927762 16546270 17377230 19623427 24819405 39246854 49638810 58870281 98117135 117740562 196234270 255104551 294351405 333598259 510209102 588702810 667196518 765313653 1000794777 1275522755 1530627306 1667991295 2001589554 2551045510 3335982590 3826568265 4336777367 5003973885 7653136530 8673554734 10007947770 13010332101 21683886835 26020664202 43367773670 65051660505 130103321010