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13311200123320 = 23511176832605523
BaseRepresentation
bin1100000110110100000101…
…0110101101100110111000
31202010112112102102202211211
43001231001112231212320
53221042314212421240
644151025251132504
72542462643116561
oct301550126554670
952115472382754
1013311200123320
1142722804a1460
1215ab971ba4134
1375731900cb18
143403a084d168
151813c5265bea
hexc1b415ad9b8

13311200123320 has 128 divisors (see below), whose sum is σ = 34645548407040. Its totient is φ = 4549032970240.

The previous prime is 13311200123237. The next prime is 13311200123339. The reversal of 13311200123320 is 2332100211331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13311200123291 and 13311200123300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3806079 + ... + 6411601.

It is an arithmetic number, because the mean of its divisors is an integer number (270668346930).

Almost surely, 213311200123320 is an apocalyptic number.

13311200123320 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 13311200123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322774203520).

13311200123320 is an abundant number, since it is smaller than the sum of its proper divisors (21334348283720).

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

13311200123320 is a wasteful number, since it uses less digits than its factorization.

13311200123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606245 (or 2606241 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13311200123320 its reverse (2332100211331), we get a palindrome (15643300334651).

The spelling of 13311200123320 in words is "thirteen trillion, three hundred eleven billion, two hundred million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 683 748 935 1366 1496 1870 2732 3415 3740 5464 6830 7480 7513 11611 13660 15026 23222 27320 30052 37565 46444 58055 60104 75130 92888 116110 127721 150260 232220 255442 300520 464440 510884 638605 1021768 1277210 2554420 2605523 5108840 5211046 10422092 13027615 20844184 26055230 28660753 44293891 52110460 57321506 88587782 104220920 114643012 143303765 177175564 221469455 229286024 286607530 354351128 442938910 487232801 573215060 885877820 974465602 1146430120 1771755640 1779572209 1948931204 2436164005 3559144418 3897862408 4872328010 7118288836 8897861045 9744656020 14236577672 17795722090 19489312040 19575294299 30252727553 35591444180 39150588598 60505455106 71182888360 78301177196 97876471495 121010910212 151263637765 156602354392 195752942990 242021820424 302527275530 332780003083 391505885980 605054551060 665560006166 783011771960 1210109102120 1331120012332 1663900015415 2662240024664 3327800030830 6655600061660 13311200123320