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21321141221300 = 22521103262173751
BaseRepresentation
bin1001101100100001101110…
…00011000111011110110100
32210111021120222202021110012
410312100313003013132310
510243311144123040200
6113202444055315352
74330254520066064
oct466206703073664
983437528667405
1021321141221300
116880277418748
12248421b07bb58
13bb876233a17b
14539d3d4bb3a4
1526e929d01a35
hex1364370c77b4

21321141221300 has 72 divisors (see below), whose sum is σ = 46327119374592. Its totient is φ = 8517358000000.

The previous prime is 21321141221269. The next prime is 21321141221309. The reversal of 21321141221300 is 312214112312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321141221309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289059425 + ... + 289133175.

It is an arithmetic number, because the mean of its divisors is an integer number (643432213536).

Almost surely, 221321141221300 is an apocalyptic number.

21321141221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321141221300 is an abundant number, since it is smaller than the sum of its proper divisors (25005978153292).

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

21321141221300 is a wasteful number, since it uses less digits than its factorization.

21321141221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77489 (or 77482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21321141221300 its reverse (312214112312), we get a palindrome (21633355333612).

The spelling of 21321141221300 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred forty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1103 2206 2621 4412 5242 5515 10484 11030 13105 22060 26210 27575 52420 55150 65525 73751 110300 131050 147502 262100 295004 368755 737510 1475020 1843775 2890963 3687550 5781926 7375100 11563852 14454815 28909630 57819260 72274075 81347353 144548150 162694706 193301371 289096300 325389412 386602742 406736765 773205484 813473530 966506855 1626947060 1933013710 2033683825 3866027420 4067367650 4832534275 8134735300 9665068550 19330137100 213211412213 426422824426 852845648852 1066057061065 2132114122130 4264228244260 5330285305325 10660570610650 21321141221300