Search a number
-
+
2031303013200 = 243252564250837
BaseRepresentation
bin11101100011110011000…
…110000011001101010000
321012012010222222200102100
4131203303012003031100
5231240102032410300
64153100121120400
7266520403504146
oct35436306031520
97165128880370
102031303013200
1171351a65aa2a
1228981b329100
1311972187aaa6
147045bda1596
1537c8b1de700
hex1d8f3183350

2031303013200 has 90 divisors (see below), whose sum is σ = 7049185719134. Its totient is φ = 541680802560.

The previous prime is 2031303013189. The next prime is 2031303013213. The reversal of 2031303013200 is 23103031302.

2031303013200 is a `hidden beast` number, since 2 + 0 + 313 + 0 + 30 + 1 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 226934093376 + 1804368919824 = 476376^2 + 1343268^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 282121819 + ... + 282129018.

Almost surely, 22031303013200 is an apocalyptic number.

2031303013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031303013200 is an abundant number, since it is smaller than the sum of its proper divisors (5017882705934).

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

2031303013200 is a wasteful number, since it uses less digits than its factorization.

2031303013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564250861 (or 564250847 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2031303013200 its reverse (23103031302), we get a palindrome (2054406044502).

The spelling of 2031303013200 in words is "two trillion, thirty-one billion, three hundred three million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 564250837 1128501674 1692752511 2257003348 2821254185 3385505022 4514006696 5078257533 5642508370 6771010044 8463762555 9028013392 10156515066 11285016740 13542020088 14106270925 16927525110 20313030132 22570033480 25391287665 27084040176 28212541850 33855050220 40626060264 42318812775 45140066960 50782575330 56425083700 67710100440 81252120528 84637625550 101565150660 112850167400 126956438325 135420200880 169275251100 203130301320 225700334800 253912876650 338550502200 406260602640 507825753300 677101004400 1015651506600 2031303013200