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1213204344100 = 2252717919335009
BaseRepresentation
bin10001101001111000100…
…111010010110100100100
311021222111022000021211221
4101221320213102310210
5124334120303002400
62325201031310124
7153436222530040
oct21517047226444
94258438007757
101213204344100
11428576251271
1217716381b344
138a535105078
1442a10087020
1521859053c1a
hex11a789d2d24

1213204344100 has 144 divisors (see below), whose sum is σ = 3027724963200. Its totient is φ = 413335480320.

The previous prime is 1213204344007. The next prime is 1213204344127. The reversal of 1213204344100 is 14434023121.

It is a super-2 number, since 2×12132043441002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242202396 + ... + 242207404.

It is an arithmetic number, because the mean of its divisors is an integer number (21025867800).

Almost surely, 21213204344100 is an apocalyptic number.

1213204344100 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 1213204344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513862481600).

1213204344100 is an abundant number, since it is smaller than the sum of its proper divisors (1814520619100).

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

1213204344100 is a wasteful number, since it uses less digits than its factorization.

1213204344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1213204344100 its reverse (14434023121), we get a palindrome (1227638367221).

The spelling of 1213204344100 in words is "one trillion, two hundred thirteen billion, two hundred four million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1790 1933 2506 3580 3866 4475 5009 5012 6265 7732 8950 9665 10018 12530 13531 17900 19330 20036 25045 25060 27062 31325 35063 38660 48325 50090 54124 62650 67655 70126 96650 100180 125225 125300 135310 140252 175315 193300 250450 270620 338275 346007 350630 500900 676550 692014 701260 876575 896611 1353100 1384028 1730035 1753150 1793222 2422049 3460070 3506300 3586444 4483055 4844098 6276277 6920140 8650175 8966110 9682397 9688196 12110245 12552554 17300350 17932220 19364794 22415275 24220490 25105108 31381385 34600700 38729588 44830550 48411985 48440980 60551225 62762770 67776779 89661100 96823970 121102450 125525540 135553558 156906925 193647940 242059925 242204900 271107116 313813850 338883895 484119850 627627700 677767790 968239700 1355535580 1694419475 1733149063 3388838950 3466298126 6777677900 6932596252 8665745315 12132043441 17331490630 24264086882 34662981260 43328726575 48528173764 60660217205 86657453150 121320434410 173314906300 242640868820 303301086025 606602172050 1213204344100