Search a number
-
+
21132103200 = 2535213677311
BaseRepresentation
bin10011101011100100…
…100100111000100000
32000112201210001212220
4103223210210320200
5321234304300300
613412530151040
71345446625215
oct235344447040
960481701786
1021132103200
118a645809aa
124119122480
131cba0b89a0
1410467bdb0c
1583a343da0
hex4eb924e20

21132103200 has 144 divisors (see below), whose sum is σ = 74076258816. Its totient is φ = 5201740800.

The previous prime is 21132103189. The next prime is 21132103217. The reversal of 21132103200 is 230123112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21132103200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307456 + ... + 369855.

It is an arithmetic number, because the mean of its divisors is an integer number (514418464).

Almost surely, 221132103200 is an apocalyptic number.

21132103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132103200 is an abundant number, since it is smaller than the sum of its proper divisors (52944155616).

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

21132103200 is a wasteful number, since it uses less digits than its factorization.

21132103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677347 (or 677334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21132103200 its reverse (230123112), we get a palindrome (21362226312).

The spelling of 21132103200 in words is "twenty-one billion, one hundred thirty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 677311 1354622 2031933 2709244 3386555 4063866 5418488 6773110 8127732 8805043 10159665 10836976 13546220 16255464 16932775 17610086 20319330 21673952 26415129 27092440 32510928 33865550 35220172 40638660 44025215 50798325 52830258 54184880 65021856 67731100 70440344 81277320 88050430 101596650 105660516 108369760 132075645 135462200 140880688 162554640 176100860 203193300 211321032 220126075 264151290 270924400 281761376 325109280 352201720 406386600 422642064 440252150 528302580 541848800 660378225 704403440 812773200 845284128 880504300 1056605160 1320756450 1408806880 1625546400 1761008600 2113210320 2641512900 3522017200 4226420640 5283025800 7044034400 10566051600 21132103200