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21110001200 = 24521372271697
BaseRepresentation
bin10011101010010000…
…010000111000110000
32000111012012011122022
4103222100100320300
5321213130014300
613410420331012
71345061023001
oct235220207060
960435164568
1021110001200
118a53055392
124111843a68
131cb564a892
1410438a91a8
1583842a285
hex4ea410e30

21110001200 has 120 divisors (see below), whose sum is σ = 51342262992. Its totient is φ = 8340520960.

The previous prime is 21110001181. The next prime is 21110001287. The reversal of 21110001200 is 210001112.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 12438752 + ... + 12440448.

Almost surely, 221110001200 is an apocalyptic number.

21110001200 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 21110001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671131496).

21110001200 is an abundant number, since it is smaller than the sum of its proper divisors (30232261792).

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

21110001200 is a wasteful number, since it uses less digits than its factorization.

21110001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21110001200 its reverse (210001112), we get a palindrome (21320002312).

The spelling of 21110001200 in words is "twenty-one billion, one hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 137 200 227 274 400 454 548 685 908 1096 1135 1370 1697 1816 2192 2270 2740 3394 3425 3632 4540 5480 5675 6788 6850 8485 9080 10960 11350 13576 13700 16970 18160 22700 27152 27400 31099 33940 42425 45400 54800 62198 67880 84850 90800 124396 135760 155495 169700 232489 248792 310990 339400 385219 464978 497584 621980 678800 770438 777475 929956 1162445 1243960 1540876 1554950 1859912 1926095 2324890 2487920 3081752 3109900 3719824 3852190 4649780 5812225 6163504 6219800 7704380 9299560 9630475 11624450 12439600 15408760 18599120 19260950 23248900 30817520 38521900 46497800 52775003 77043800 92995600 105550006 154087600 211100012 263875015 422200024 527750030 844400048 1055500060 1319375075 2111000120 2638750150 4222000240 5277500300 10555000600 21110001200