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21200020012000 = 255314273714089
BaseRepresentation
bin1001101001000000000111…
…01010010111101111100000
32210001200221211211022221101
410310200003222113233200
510234320120110341000
6113031053231404144
74315436154563644
oct464400352275740
983050854738841
1021200020012000
116833972682475
122464857983654
13baa1cba8745b
1453412d2b4c24
1526b6db6c5e6a
hex134803a97be0

21200020012000 has 96 divisors (see below), whose sum is σ = 52124965270560. Its totient is φ = 8474063180800.

The previous prime is 21200020011979. The next prime is 21200020012001. The reversal of 21200020012000 is 21002000212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200020012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850956 + ... + 7565044.

It is an arithmetic number, because the mean of its divisors is an integer number (542968388235).

Almost surely, 221200020012000 is an apocalyptic number.

21200020012000 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 21200020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26062482635280).

21200020012000 is an abundant number, since it is smaller than the sum of its proper divisors (30924945258560).

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

21200020012000 is a wasteful number, since it uses less digits than its factorization.

21200020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715541 (or 3715523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21200020012000 its reverse (21002000212), we get a palindrome (21221022012212).

The spelling of 21200020012000 in words is "twenty-one trillion, two hundred billion, twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1427 2000 2854 4000 5708 7135 11416 14270 22832 28540 35675 45664 57080 71350 114160 142700 178375 228320 285400 356750 570800 713500 1141600 1427000 2854000 3714089 5708000 7428178 14856356 18570445 29712712 37140890 59425424 74281780 92852225 118850848 148563560 185704450 297127120 371408900 464261125 594254240 742817800 928522250 1485635600 1857044500 2971271200 3714089000 5300005003 7428178000 10600010006 14856356000 21200020012 26500025015 42400040024 53000050030 84800080048 106000100060 132500125075 169600160096 212000200120 265000250150 424000400240 530000500300 662500625375 848000800480 1060001000600 1325001250750 2120002001200 2650002501500 4240004002400 5300005003000 10600010006000 21200020012000