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21431213001 = 321119337853
BaseRepresentation
bin10011111101011001…
…100101101111001001
32001022120121102101200
4103331121211233021
5322342342304001
613502333134413
71356041206362
oct237531455711
961276542350
1021431213001
1190a83a7590
1241a132a409
132037064533
141074400b69
15856729086
hex4fd665bc9

21431213001 has 96 divisors (see below), whose sum is σ = 36652586880. Its totient is φ = 11958399360.

The previous prime is 21431212973. The next prime is 21431213003. The reversal of 21431213001 is 10031213412.

21431213001 is a `hidden beast` number, since 21 + 431 + 213 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21431213001 - 25 = 21431212969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21431213003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25124091 + ... + 25124943.

It is an arithmetic number, because the mean of its divisors is an integer number (381797780).

Almost surely, 221431213001 is an apocalyptic number.

It is an amenable number.

21431213001 is a deficient number, since it is larger than the sum of its proper divisors (15221373879).

21431213001 is a wasteful number, since it uses less digits than its factorization.

21431213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21431213001 its reverse (10031213412), we get a palindrome (31462426413).

It can be divided in two parts, 21431 and 213001, that added together give a palindrome (234432).

The spelling of 21431213001 in words is "twenty-one billion, four hundred thirty-one million, two hundred thirteen thousand, one".

Divisors: 1 3 9 11 19 33 37 57 99 111 171 209 333 361 407 627 703 853 1083 1221 1881 2109 2559 3249 3663 3971 6327 6859 7677 7733 9383 11913 13357 16207 20577 23199 28149 31561 35739 40071 48621 61731 69597 75449 84447 94683 120213 145863 146927 178277 226347 253783 284049 307933 347171 440781 534831 599659 679041 761349 923799 1041513 1322343 1604493 1798977 2284047 2771397 2791613 3124539 3387263 5396931 5850727 6596249 8374839 10161789 11393521 17552181 19788747 25124517 30485367 34180563 52656543 59366241 64357997 102541689 125328731 193073991 216476899 375986193 579221973 649430697 1127958579 1948292091 2381245889 7143737667 21431213001