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13310201331300 = 223522911261135859
BaseRepresentation
bin1100000110110000010111…
…0100100111111001100100
31202010102221211000212202210
43001230011310213321210
53221033243020100200
644150342211403420
72542426124406516
oct301540564477144
952112854025683
1013310201331300
114271908723205
1215ab7335b3570
137571ba106723
14340307d37bb6
15181367722650
hexc1b05d27e64

13310201331300 has 144 divisors (see below), whose sum is σ = 39842640532800. Its totient is φ = 3426664819200.

The previous prime is 13310201331281. The next prime is 13310201331359. The reversal of 13310201331300 is 313310201331.

It is a super-2 number, since 2×133102013313002 (a number of 27 digits) contains 22 as substring.

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, 97902771 + ... + 98038629.

It is an arithmetic number, because the mean of its divisors is an integer number (276685003700).

Almost surely, 213310201331300 is an apocalyptic number.

13310201331300 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 13310201331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19921320266400).

13310201331300 is an abundant number, since it is smaller than the sum of its proper divisors (26532439201500).

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

13310201331300 is a wasteful number, since it uses less digits than its factorization.

13310201331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147166 (or 147159 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13310201331300 its reverse (313310201331), we get a palindrome (13623511532631).

The spelling of 13310201331300 in words is "thirteen trillion, three hundred ten billion, two hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 11261 22522 33783 45044 56305 67566 112610 135132 135859 168915 225220 271718 281525 326569 337830 407577 543436 563050 653138 675660 679295 815154 844575 979707 1126100 1306276 1358590 1630308 1632845 1689150 1959414 2037885 2717180 3265690 3378300 3396475 3918828 3939911 4075770 4898535 6531380 6792950 7879822 8151540 8164225 9797070 10189425 11819733 13585900 15759644 16328450 19594140 19699555 20378850 23639466 24492675 32656900 39399110 40757700 47278932 48985350 59098665 78798220 97970700 98497775 118197330 196995550 236394660 295493325 393991100 590986650 1181973300 1529908199 3059816398 4589724597 6119632796 7649540995 9179449194 15299081990 18358898388 22948622985 30598163980 38247704975 44367337771 45897245970 76495409950 88734675542 91794491940 114743114925 133102013313 152990819900 177469351084 221836688855 229486229850 266204026626 443673377710 458972459700 532408053252 665510066565 887346755420 1109183444275 1331020133130 2218366888550 2662040266260 3327550332825 4436733777100 6655100665650 13310201331300