Search a number
-
+
21110031200 = 2552471932909
BaseRepresentation
bin10011101010010000…
…011000001101100000
32000111012020200210102
4103222100120031200
5321213131444300
613410421121532
71345061206316
oct235220301540
960435220712
1021110031200
118a53075985
1241118592a8
131cb565b42b
1410438b60b6
158384340d5
hex4ea418360

21110031200 has 144 divisors (see below), whose sum is σ = 52922237760. Its totient is φ = 8218705920.

The previous prime is 21110031179. The next prime is 21110031211. The reversal of 21110031200 is 213001112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7255346 + ... + 7258254.

It is an arithmetic number, because the mean of its divisors is an integer number (367515540).

Almost surely, 221110031200 is an apocalyptic number.

21110031200 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 21110031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26461118880).

21110031200 is an abundant number, since it is smaller than the sum of its proper divisors (31812206560).

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

21110031200 is a wasteful number, since it uses less digits than its factorization.

21110031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21110031200 its reverse (213001112), we get a palindrome (21323032312).

The spelling of 21110031200 in words is "twenty-one billion, one hundred ten million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 193 200 235 376 386 400 470 752 772 800 940 965 1175 1504 1544 1880 1930 2350 2909 3088 3760 3860 4700 4825 5818 6176 7520 7720 9071 9400 9650 11636 14545 15440 18142 18800 19300 23272 29090 30880 36284 37600 38600 45355 46544 58180 72568 72725 77200 90710 93088 116360 136723 145136 145450 154400 181420 226775 232720 273446 290272 290900 362840 453550 465440 546892 561437 581800 683615 725680 907100 1093784 1122874 1163600 1367230 1451360 1814200 2187568 2245748 2327200 2734460 2807185 3418075 3628400 4375136 4491496 5468920 5614370 6836150 7256800 8982992 10937840 11228740 13672300 14035925 17965984 21875680 22457480 26387539 27344600 28071850 44914960 52775078 54689200 56143700 89829920 105550156 109378400 112287400 131937695 211100312 224574800 263875390 422200624 449149600 527750780 659688475 844401248 1055501560 1319376950 2111003120 2638753900 4222006240 5277507800 10555015600 21110031200