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1212311101300 = 2252133725203973
BaseRepresentation
bin10001101001000011010…
…111110101111101110100
311021220012001012212002021
4101221003113311331310
5124330303120220200
62324532242122524
7153405125223445
oct21510327657564
94256161185067
101212311101300
11428158014782
12176b54650444
138a422036230
14429675a92cc
152180590e41a
hex11a435f5f74

1212311101300 has 72 divisors (see below), whose sum is σ = 2909647574456. Its totient is φ = 435524636160.

The previous prime is 1212311101279. The next prime is 1212311101307. The reversal of 1212311101300 is 31011132121.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 429022380004 + 783288721296 = 654998^2 + 885036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212311101307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12553887 + ... + 12650086.

Almost surely, 21212311101300 is an apocalyptic number.

1212311101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212311101300 is an abundant number, since it is smaller than the sum of its proper divisors (1697336473156).

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

1212311101300 is a wasteful number, since it uses less digits than its factorization.

1212311101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204037 (or 25204030 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1212311101300 its reverse (31011132121), we get a palindrome (1243322233421).

The spelling of 1212311101300 in words is "one trillion, two hundred twelve billion, three hundred eleven million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 650 740 925 962 1300 1850 1924 2405 3700 4810 9620 12025 24050 48100 25203973 50407946 100815892 126019865 252039730 327651649 504079460 630099325 655303298 932547001 1260198650 1310606596 1638258245 1865094002 2520397300 3276516490 3730188004 4662735005 6553032980 8191291225 9325470010 12123111013 16382582450 18650940020 23313675025 24246222026 32765164900 46627350050 48492444052 60615555065 93254700100 121231110130 242462220260 303077775325 606155550650 1212311101300