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130223003220 = 2232517363711701
BaseRepresentation
bin111100101000111100…
…1010101011001010100
3110110010110112222112100
41321101321111121110
54113144042100340
6135453522522100
712260022156342
oct1712171253124
9413113488470
10130223003220
1150255543812
12212a3506330
13c3841541bb
146434d58992
1535c2713830
hex1e51e55654

130223003220 has 144 divisors (see below), whose sum is σ = 418396397328. Its totient is φ = 32671641600.

The previous prime is 130223003201. The next prime is 130223003221. The reversal of 130223003220 is 22300322031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 912281616 + 129310721604 = 30204^2 + 359598^2 .

It is a super-4 number, since 4×1302230032204 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 130223003193 and 130223003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130223003221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11123370 + ... + 11135070.

It is an arithmetic number, because the mean of its divisors is an integer number (2905530537).

Almost surely, 2130223003220 is an apocalyptic number.

130223003220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130223003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209198198664).

130223003220 is an abundant number, since it is smaller than the sum of its proper divisors (288173394108).

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

130223003220 is a wasteful number, since it uses less digits than its factorization.

130223003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130223003220 its reverse (22300322031), we get a palindrome (152523325251).

The spelling of 130223003220 in words is "one hundred thirty billion, two hundred twenty-three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3637 7274 10911 11701 14548 18185 21822 23402 32733 35103 36370 43644 46804 54555 58505 61829 65466 70206 72740 105309 109110 117010 123658 130932 140412 163665 175515 185487 198917 210618 218220 234020 247316 309145 327330 351030 370974 397834 421236 526545 556461 596751 618290 654660 702060 741948 795668 927435 994585 1053090 1112922 1193502 1236580 1790253 1854870 1989170 2106180 2225844 2387004 2782305 2983755 3580506 3709740 3978340 5564610 5967510 7161012 8951265 11129220 11935020 17902530 35805060 42556537 85113074 127669611 170226148 212782685 255339222 383008833 425565370 510678444 638348055 723461129 766017666 851130740 1276696110 1446922258 1532035332 1915044165 2170383387 2553392220 2893844516 3617305645 3830088330 4340766774 6511150161 7234611290 7660176660 8681533548 10851916935 13022300322 14469222580 21703833870 26044600644 32555750805 43407667740 65111501610 130223003220