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13215212211300 = 22352114785204463
BaseRepresentation
bin1100000001001110100000…
…0001111000110001100100
31201210100202212020121122020
43000103220001320301210
53213004223311230200
644034552405103140
72532524164251561
oct300235001706144
951710685217566
1013215212211300
1142355a3856450
1215952439b7ab0
1374b25c794b48
143398965ab868
1517db5838cea0
hexc04e8078c64

13215212211300 has 144 divisors (see below), whose sum is σ = 42599505457152. Its totient is φ = 3135524201600.

The previous prime is 13215212211293. The next prime is 13215212211307. The reversal of 13215212211300 is 311221251231.

It is an interprime number because it is at equal distance from previous prime (13215212211293) and next prime (13215212211307).

It is not an unprimeable number, because it can be changed into a prime (13215212211307) 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, 42447132 + ... + 42757331.

It is an arithmetic number, because the mean of its divisors is an integer number (295829899008).

Almost surely, 213215212211300 is an apocalyptic number.

13215212211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13215212211300 is an abundant number, since it is smaller than the sum of its proper divisors (29384293245852).

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

13215212211300 is a wasteful number, since it uses less digits than its factorization.

13215212211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85204538 (or 85204531 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13215212211300 its reverse (311221251231), we get a palindrome (13526433462531).

The spelling of 13215212211300 in words is "thirteen trillion, two hundred fifteen billion, two hundred twelve million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 155100 85204463 170408926 255613389 340817852 426022315 511226778 852044630 937249093 1022453556 1278066945 1704089260 1874498186 2130111575 2556133890 2811747279 3748996372 4004609761 4260223150 4686245465 5112267780 5623494558 6390334725 8009219522 8520446300 9372490930 11246989116 12013829283 12780669450 14058736395 16018439044 18744981860 20023048805 23431227325 24027658566 25561338900 28117472790 40046097610 44050707371 46862454650 48055317132 56234945580 60069146415 70293681975 80092195220 88101414742 93724909300 100115244025 120138292830 132152122113 140587363950 176202829484 200230488050 220253536855 240276585660 264304244226 281174727900 300345732075 400460976100 440507073710 528608488452 600691464150 660760610565 881014147420 1101267684275 1201382928300 1321521221130 2202535368550 2643042442260 3303803052825 4405070737100 6607606105650 13215212211300