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21002031200 = 2552178871741
BaseRepresentation
bin10011100011110100…
…011001000001100000
32000012200000201122102
4103203310121001200
5321003004444300
613352002225532
71342310214443
oct234364310140
960180021572
1021002031200
1189a810a987
1240a16552a8
131c991764c7
14103340165a
1582dbee0d5
hex4e3d19060

21002031200 has 144 divisors (see below), whose sum is σ = 54379581984. Its totient is φ = 7893196800.

The previous prime is 21002031191. The next prime is 21002031221. The reversal of 21002031200 is 213020012.

It is a happy number.

It is a congruent number.

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, 12062330 + ... + 12064070.

It is an arithmetic number, because the mean of its divisors is an integer number (377635986).

Almost surely, 221002031200 is an apocalyptic number.

21002031200 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 21002031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189790992).

21002031200 is an abundant number, since it is smaller than the sum of its proper divisors (33377550784).

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

21002031200 is a wasteful number, since it uses less digits than its factorization.

21002031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21002031200 its reverse (213020012), we get a palindrome (21215051212).

The spelling of 21002031200 in words is "twenty-one billion, two million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 887 1360 1700 1741 1774 2720 3400 3482 3548 4435 6800 6964 7096 8705 8870 13600 13928 14192 15079 17410 17740 22175 27856 28384 29597 30158 34820 35480 43525 44350 55712 59194 60316 69640 70960 75395 87050 88700 118388 120632 139280 141920 147985 150790 174100 177400 236776 241264 278560 295970 301580 348200 354800 376975 473552 482528 591940 603160 696400 709600 739925 753950 947104 1183880 1206320 1392800 1479850 1507900 1544267 2367760 2412640 2959700 3015800 3088534 4735520 5919400 6031600 6177068 7721335 11838800 12063200 12354136 15442670 23677600 24708272 26252539 30885340 38606675 49416544 52505078 61770680 77213350 105010156 123541360 131262695 154426700 210020312 247082720 262525390 308853400 420040624 525050780 617706800 656313475 840081248 1050101560 1235413600 1312626950 2100203120 2625253900 4200406240 5250507800 10501015600 21002031200