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21343121001 = 3410311322639
BaseRepresentation
bin10011111000001001…
…100010111001101001
32001002102211212220000
4103320021202321221
5322202314333001
613445505053213
71353621351366
oct237011427151
961072755800
1021343121001
1190626a9784
124177927209
132021a2cba7
14106682d46d
1584db27a86
hex4f8262e69

21343121001 has 40 divisors (see below), whose sum is σ = 32478800640. Its totient is φ = 13965291648.

The previous prime is 21343120991. The next prime is 21343121011. The reversal of 21343121001 is 10012134312.

21343121001 is a `hidden beast` number, since 21 + 3 + 431 + 210 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21343120991) and next prime (21343121011).

It is not a de Polignac number, because 21343121001 - 213 = 21343112809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21343121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 931440 + ... + 954078.

It is an arithmetic number, because the mean of its divisors is an integer number (811970016).

Almost surely, 221343121001 is an apocalyptic number.

It is an amenable number.

21343121001 is a deficient number, since it is larger than the sum of its proper divisors (11135679639).

21343121001 is a wasteful number, since it uses less digits than its factorization.

21343121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22867 (or 22858 counting only the distinct ones).

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

Adding to 21343121001 its reverse (10012134312), we get a palindrome (31355255313).

It can be divided in two parts, 2134312 and 1001, that multiplied together give a palindrome (2136446312).

The spelling of 21343121001 in words is "twenty-one billion, three hundred forty-three million, one hundred twenty-one thousand, one".

Divisors: 1 3 9 27 81 103 113 309 339 927 1017 2781 3051 8343 9153 11639 22639 34917 67917 104751 203751 314253 611253 942759 1833759 2331817 2558207 6995451 7674621 20986353 23023863 62959059 69071589 188877177 207214767 263495321 790485963 2371457889 7114373667 21343121001