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1313002222300 = 22522919710212251
BaseRepresentation
bin10011000110110101000…
…001111111001011011100
311122112002101022210010001
4103012311001333023130
5133003012032103200
62443103534224044
7163601263513126
oct23066501771334
94575071283101
101313002222300
1146692858525a
12192575955024
1396a7aa967c2
144779a332216
152424a66576a
hex131b507f2dc

1313002222300 has 144 divisors (see below), whose sum is σ = 2966644185120. Its totient is φ = 503798400000.

The previous prime is 1313002222291. The next prime is 1313002222373. The reversal of 1313002222300 is 32222003131.

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, 583296175 + ... + 583298425.

It is an arithmetic number, because the mean of its divisors is an integer number (20601695730).

Almost surely, 21313002222300 is an apocalyptic number.

1313002222300 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 1313002222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483322092560).

1313002222300 is an abundant number, since it is smaller than the sum of its proper divisors (1653641962820).

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

1313002222300 is a wasteful number, since it uses less digits than its factorization.

1313002222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1313002222300 its reverse (32222003131), we get a palindrome (1345224225431).

The spelling of 1313002222300 in words is "one trillion, three hundred thirteen billion, two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 197 290 394 580 725 788 985 1021 1450 1970 2042 2251 2900 3940 4084 4502 4925 5105 5713 9004 9850 10210 11255 11426 19700 20420 22510 22852 25525 28565 29609 45020 51050 56275 57130 59218 65279 102100 112550 114260 118436 130558 142825 148045 201137 225100 261116 285650 296090 326395 402274 443447 571300 592180 652790 740225 804548 886894 1005685 1305580 1480450 1631975 1773788 2011370 2217235 2298271 2960900 3263950 4022740 4434470 4596542 5028425 5832973 6527900 8868940 9193084 10056850 11086175 11491355 11665946 12859963 20113700 22172350 22982710 23331892 25719926 29164865 44344700 45965420 51439852 57456775 58329730 64299815 66649859 114913550 116659460 128599630 133299718 145824325 229827100 257199260 266599436 291648650 321499075 333249295 452759387 583297300 642998150 666498590 905518774 1285996300 1332997180 1666246475 1811037548 2263796935 3332492950 4527593870 6664985900 9055187740 11318984675 13130022223 22637969350 26260044446 45275938700 52520088892 65650111115 131300222230 262600444460 328250555575 656501111150 1313002222300