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13252140152200 = 2352672971332873
BaseRepresentation
bin1100000011011000000100…
…0110110011010110001000
31201220220002102200101022001
43000312001012303112020
53214110340334332300
644103541003040344
72535302246466055
oct300660106632610
951826072611261
1013252140152200
11424a2236a6a74
1215a042ab100b4
13751896253051
1433b59ab7602c
1517eaba2ea16a
hexc0d811b3588

13252140152200 has 96 divisors (see below), whose sum is σ = 31281714315360. Its totient is φ = 5219965555200.

The previous prime is 13252140152177. The next prime is 13252140152201. The reversal of 13252140152200 is 225104125231.

It is a happy number.

It is a super-2 number, since 2×132521401522002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13252140152201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39644964 + ... + 39977836.

It is an arithmetic number, because the mean of its divisors is an integer number (325851190785).

Almost surely, 213252140152200 is an apocalyptic number.

13252140152200 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 13252140152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640857157680).

13252140152200 is an abundant number, since it is smaller than the sum of its proper divisors (18029574163160).

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

13252140152200 is a wasteful number, since it uses less digits than its factorization.

13252140152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335927 (or 335918 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 13252140152200 its reverse (225104125231), we get a palindrome (13477244277431).

The spelling of 13252140152200 in words is "thirteen trillion, two hundred fifty-two billion, one hundred forty million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 2971 3350 5942 6700 11884 13400 14855 23768 29710 59420 74275 118840 148550 199057 297100 332873 398114 594200 665746 796228 995285 1331492 1592456 1664365 1990570 2662984 3328730 3981140 4976425 6657460 7962280 8321825 9952850 13314920 16643650 19905700 22302491 33287300 39811400 44604982 66574600 89209964 111512455 178419928 223024910 446049820 557562275 892099640 988965683 1115124550 1977931366 2230249100 3955862732 4460498200 4944828415 7911725464 9889656830 19779313660 24724142075 39558627320 49448284150 66260700761 98896568300 132521401522 197793136600 265042803044 331303503805 530085606088 662607007610 1325214015220 1656517519025 2650428030440 3313035038050 6626070076100 13252140152200