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13301302300 = 225211136713883
BaseRepresentation
bin11000110001101000…
…11100010000011100
31021022222202011111221
430120310130100130
5204220113133200
610035513023124
7650422126666
oct143064342034
937288664457
1013301302300
115706269320
1226b26b4aa4
13133c9374a0
1490279b536
1552cb1b91a
hex318d1c41c

13301302300 has 144 divisors (see below), whose sum is σ = 34418547072. Its totient is φ = 4397817600.

The previous prime is 13301302283. The next prime is 13301302307. The reversal of 13301302300 is 320310331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301302307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951159 + ... + 965041.

It is an arithmetic number, because the mean of its divisors is an integer number (239017688).

Almost surely, 213301302300 is an apocalyptic number.

13301302300 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 13301302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209273536).

13301302300 is an abundant number, since it is smaller than the sum of its proper divisors (21117244772).

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

13301302300 is a wasteful number, since it uses less digits than its factorization.

13301302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13988 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13301302300 its reverse (320310331), we get a palindrome (13621612631).

The spelling of 13301302300 in words is "thirteen billion, three hundred one million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 67 100 110 130 134 143 220 260 268 275 286 325 335 550 572 650 670 715 737 871 1100 1300 1340 1430 1474 1675 1742 2860 2948 3350 3484 3575 3685 4355 6700 7150 7370 8710 9581 13883 14300 14740 17420 18425 19162 21775 27766 36850 38324 43550 47905 55532 69415 73700 87100 95810 138830 152713 180479 191620 239525 277660 305426 347075 360958 479050 610852 694150 721916 763565 902395 930161 958100 1388300 1527130 1804790 1860322 1985269 3054260 3609580 3720644 3817825 3970538 4511975 4650805 7635650 7941076 9023950 9301610 9926345 10231771 12092093 15271300 18047900 18603220 19852690 20463542 23254025 24184186 39705380 40927084 46508050 48368372 49631725 51158855 60460465 93016100 99263450 102317710 120920930 133013023 198526900 204635420 241841860 255794275 266026046 302302325 511588550 532052092 604604650 665065115 1023177100 1209209300 1330130230 2660260460 3325325575 6650651150 13301302300