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21001411300 = 2252674197481
BaseRepresentation
bin10011100011110010…
…000001101011100100
32000012121212020022011
4103203302001223210
5321002330130200
613351541044004
71342302023242
oct234362015344
960177766264
1021001411300
1189a7827171
1240a13b6604
131c98cba2bc
1410332bd792
1582db2a5ba
hex4e3c81ae4

21001411300 has 72 divisors (see below), whose sum is σ = 46369844640. Its totient is φ = 8254329600.

The previous prime is 21001411289. The next prime is 21001411331. The reversal of 21001411300 is 311410012.

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, 2803560 + ... + 2811040.

It is an arithmetic number, because the mean of its divisors is an integer number (644025620).

Almost surely, 221001411300 is an apocalyptic number.

21001411300 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 21001411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23184922320).

21001411300 is an abundant number, since it is smaller than the sum of its proper divisors (25368433340).

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

21001411300 is a wasteful number, since it uses less digits than its factorization.

21001411300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7981 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21001411300 its reverse (311410012), we get a palindrome (21312821312).

The spelling of 21001411300 in words is "twenty-one billion, one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 419 670 838 1340 1675 1676 2095 3350 4190 6700 7481 8380 10475 14962 20950 28073 29924 37405 41900 56146 74810 112292 140365 149620 187025 280730 374050 501227 561460 701825 748100 1002454 1403650 2004908 2506135 2807300 3134539 5012270 6269078 10024540 12530675 12538156 15672695 25061350 31345390 50122700 62690780 78363475 156726950 210014113 313453900 420028226 840056452 1050070565 2100141130 4200282260 5250352825 10500705650 21001411300