Search a number
-
+
2031003100 = 2252719791933
BaseRepresentation
bin111100100001110…
…1010010111011100
312020112200122111001
41321003222113130
513124414044400
6533311240044
7101221145560
oct17103522734
95215618431
102031003100
119524a2765
12488219024
13264a10aa9
14153a496a0
15bd488a6a
hex790ea5dc

2031003100 has 144 divisors (see below), whose sum is σ = 5371878400. Its totient is φ = 651006720.

The previous prime is 2031003097. The next prime is 2031003137. The reversal of 2031003100 is 13001302.

It is a super-2 number, since 2×20310031002 = 8249947184419220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1049734 + ... + 1051666.

Almost surely, 22031003100 is an apocalyptic number.

2031003100 is a gapful number since it is divisible by the number (20) 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 2031003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685939200).

2031003100 is an abundant number, since it is smaller than the sum of its proper divisors (3340875300).

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

2031003100 is a wasteful number, since it uses less digits than its factorization.

2031003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2031003100 is about 45066.6517504906. The cubic root of 2031003100 is about 1266.3979400690.

Adding to 2031003100 its reverse (13001302), we get a palindrome (2044004402).

The spelling of 2031003100 in words is "two billion, thirty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 79 95 100 133 140 158 175 190 266 316 350 380 395 475 532 553 665 700 790 950 1106 1330 1501 1580 1900 1933 1975 2212 2660 2765 3002 3325 3866 3950 5530 6004 6650 7505 7732 7900 9665 10507 11060 13300 13531 13825 15010 19330 21014 27062 27650 30020 36727 37525 38660 42028 48325 52535 54124 55300 67655 73454 75050 96650 105070 135310 146908 150100 152707 183635 193300 210140 257089 262675 270620 305414 338275 367270 514178 525350 610828 676550 734540 763535 918175 1028356 1050700 1068949 1285445 1353100 1527070 1836350 2137898 2570890 2901433 3054140 3672700 3817675 4275796 5141780 5344745 5802866 6427225 7635350 10689490 11605732 12854450 14507165 15270700 20310031 21378980 25708900 26723725 29014330 40620062 53447450 58028660 72535825 81240124 101550155 106894900 145071650 203100310 290143300 406200620 507750775 1015501550 2031003100