Search a number
-
+
1212033001300 = 22521117391716547
BaseRepresentation
bin10001101000110010110…
…010111110011101010100
311021212110122220220121021
4101220302302332131110
5124324220422020200
62324444505330524
7153365210345332
oct21506262763524
94255418826537
101212033001300
11428025039070
12176a97496a44
138a3a9535614
144293c696b52
15217db2c941a
hex11a32cbe754

1212033001300 has 144 divisors (see below), whose sum is σ = 3038949119808. Its totient is φ = 414682470400.

The previous prime is 1212033001297. The next prime is 1212033001321. The reversal of 1212033001300 is 31003302121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73239627 + ... + 73256173.

It is an arithmetic number, because the mean of its divisors is an integer number (21103813332).

Almost surely, 21212033001300 is an apocalyptic number.

1212033001300 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 1212033001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519474559904).

1212033001300 is an abundant number, since it is smaller than the sum of its proper divisors (1826916118508).

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

1212033001300 is a wasteful number, since it uses less digits than its factorization.

1212033001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506 (or 20499 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1212033001300 its reverse (31003302121), we get a palindrome (1243036303421).

The spelling of 1212033001300 in words is "one trillion, two hundred twelve billion, thirty-three million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 3917 4675 7834 9350 15668 16547 18700 19585 33094 39170 43087 66188 66589 78340 82735 86174 97925 133178 165470 172348 182017 195850 215435 266356 281299 330940 332945 364034 391700 413675 430870 562598 665890 728068 732479 827350 861740 910085 1077175 1125196 1331780 1406495 1464958 1654700 1664725 1820170 2154350 2812990 2929916 3094289 3329450 3640340 3662395 4308700 4550425 5625980 6188578 6658900 7032475 7324790 9100850 12377156 14064950 14649580 15471445 18201700 18311975 28129900 30942890 36623950 61885780 64814599 73247900 77357225 129629198 154714450 259258396 309428900 324072995 648145990 712960589 1101848183 1296291980 1425921178 1620364975 2203696366 2851842356 3240729950 3564802945 4407392732 5509240915 6481459900 7129605890 11018481830 12120330013 14259211780 17824014725 22036963660 24240660026 27546204575 35648029450 48481320052 55092409150 60601650065 71296058900 110184818300 121203300130 242406600260 303008250325 606016500650 1212033001300