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13200200351154 = 2342310754796043
BaseRepresentation
bin1100000000010110100101…
…0000001011110110110010
31201201221000122210002220000
43000011221100023312302
53212233002242214104
644024031024530430
72531453161454505
oct300055120136662
951657018702800
1013200200351154
11422a19aa73763
121592354480a16
13749a0965566b
14338c7097b13c
1517d57a4d4639
hexc016940bdb2

13200200351154 has 160 divisors (see below), whose sum is σ = 31163529323520. Its totient is φ = 4167974514528.

The previous prime is 13200200351153. The next prime is 13200200351179. The reversal of 13200200351154 is 45115300200231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13200200351153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2184375657 + ... + 2184381699.

It is an arithmetic number, because the mean of its divisors is an integer number (194772058272).

Almost surely, 213200200351154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200200351154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581764661760).

13200200351154 is an abundant number, since it is smaller than the sum of its proper divisors (17963328972366).

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

13200200351154 is a wasteful number, since it uses less digits than its factorization.

13200200351154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11666 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13200200351154 its reverse (45115300200231), we get a palindrome (58315500551385).

The spelling of 13200200351154 in words is "thirteen trillion, two hundred billion, two hundred million, three hundred fifty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 107 138 162 207 214 321 414 621 642 963 1242 1863 1926 2461 2889 3726 4922 5479 5778 6043 7383 8667 10958 12086 14766 16437 17334 18129 22149 32874 36258 44298 49311 54387 66447 98622 108774 126017 132894 138989 147933 163161 199341 252034 277978 295866 326322 378051 398682 416967 443799 489483 586253 646601 756102 833934 887598 978966 1134153 1172506 1250901 1293202 1758759 1939803 2268306 2501802 3402459 3517518 3752703 3879606 5276277 5819409 6804918 7505406 10207377 10552554 11258109 11638818 13483819 14871823 15828831 17458227 20414754 22516218 26967638 29743646 31657662 33109597 34916454 40451457 44615469 47486493 52374681 66219194 80902914 89230938 94972986 99328791 104749362 121354371 133846407 198657582 242708742 267692814 297986373 364063113 401539221 595972746 728126226 761520731 803078442 893959119 1092189339 1204617663 1523041462 1787918238 2184378678 2284562193 2409235326 2681877357 3542726879 4569124386 5363754714 6853686579 7085453758 10628180637 13707373158 20561059737 21256361274 31884541911 41122119474 61683179211 63769083822 81482718217 95653625733 123366358422 162965436434 191307251466 244448154651 286960877199 488896309302 573921754398 733344463953 1466688927906 2200033391859 4400066783718 6600100175577 13200200351154