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641100340221 = 311101257748441
BaseRepresentation
bin10010101010001001000…
…11101101101111111101
32021021210101101200000020
421111010203231233331
541000433141341341
61210303433122353
764214030656545
oct11250443555775
92237711350006
10641100340221
11227986479520
12a42bb2593b9
13485bc97c553
142305aa3c325
1511a23256566
hex95448edbfd

641100340221 has 32 divisors (see below), whose sum is σ = 945407984256. Its totient is φ = 383201280000.

The previous prime is 641100340187. The next prime is 641100340229. The reversal of 641100340221 is 122043001146.

It is not a de Polignac number, because 641100340221 - 211 = 641100338173 is a prime.

It is a super-2 number, since 2×6411003402212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641100340191 and 641100340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641100340229) 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 31 ways as a sum of consecutive naturals, for example, 482361 + ... + 1230801.

It is an arithmetic number, because the mean of its divisors is an integer number (29543999508).

Almost surely, 2641100340221 is an apocalyptic number.

It is an amenable number.

641100340221 is a deficient number, since it is larger than the sum of its proper divisors (304307644035).

641100340221 is a wasteful number, since it uses less digits than its factorization.

641100340221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748813.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 641100340221 its reverse (122043001146), we get a palindrome (763143341367).

The spelling of 641100340221 in words is "six hundred forty-one billion, one hundred million, three hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 257 303 771 1111 2827 3333 8481 25957 77871 285527 748441 856581 2245323 8232851 24698553 75592541 192349337 226777623 577048011 831517951 2115842707 2494553853 6347528121 19427283037 58281849111 213700113407 641100340221