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13000031222300 = 22522971107590071
BaseRepresentation
bin1011110100101100111000…
…1111100011101000011100
31201000210100112020210012222
42331023032033203220130
53200443030443103200
643352044253444512
72511135615110453
oct275131617435034
951023315223188
1013000031222300
114162311795551
12155b5b01a0738
13733b8929a855
1432d2c2231b9a
151782622a2d85
hexbd2ce3e3a1c

13000031222300 has 144 divisors (see below), whose sum is σ = 29870483166720. Its totient is φ = 4903717728000.

The previous prime is 13000031222287. The next prime is 13000031222333. The reversal of 13000031222300 is 322213000031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21736265 + ... + 22326335.

It is an arithmetic number, because the mean of its divisors is an integer number (207433910880).

Almost surely, 213000031222300 is an apocalyptic number.

13000031222300 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 13000031222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935241583360).

13000031222300 is an abundant number, since it is smaller than the sum of its proper divisors (16870451944420).

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

13000031222300 is a wasteful number, since it uses less digits than its factorization.

13000031222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590292 (or 590285 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13000031222300 its reverse (322213000031), we get a palindrome (13322244222331).

The spelling of 13000031222300 in words is "thirteen trillion, thirty-one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 71 100 107 116 142 145 214 284 290 355 428 535 580 710 725 1070 1420 1450 1775 2059 2140 2675 2900 3103 3550 4118 5350 6206 7100 7597 8236 10295 10700 12412 15194 15515 20590 30388 31030 37985 41180 51475 62060 75970 77575 102950 151940 155150 189925 205900 220313 310300 379850 440626 590071 759700 881252 1101565 1180142 2203130 2360284 2950355 4406260 5507825 5900710 11015650 11801420 14751775 17112059 22031300 29503550 34224118 41895041 59007100 63137597 68448236 83790082 85560295 126275194 167580164 171120590 209475205 252550388 315687985 342241180 418950410 427801475 631375970 837900820 855602950 1047376025 1214956189 1262751940 1578439925 1711205900 1830990313 2094752050 2429912378 3156879850 3661980626 4189504100 4482769387 4859824756 6074780945 6313759700 7323961252 8965538774 9154951565 12149561890 17931077548 18309903130 22413846935 24299123780 30373904725 36619806260 44827693870 45774757825 60747809450 89655387740 91549515650 112069234675 121495618900 130000312223 183099031300 224138469350 260000624446 448276938700 520001248892 650001561115 1300003122230 2600006244460 3250007805575 6500015611150 13000031222300