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131001102322223 = 7250321292496521
BaseRepresentation
bin11101110010010100010010…
…001010110100101000101111
3122011211120202001122111001212
4131302110102022310220233
5114132310224143302343
61142341024155025035
736410342303065100
oct3562242212645057
9564746661574055
10131001102322223
113881728a084121
1212838a8413b17b
1358134740356a3
14244c6b6b8a3a7
15102298c9a3c18
hex7725122b4a2f

131001102322223 has 24 divisors (see below), whose sum is σ = 152763778954080. Its totient is φ = 112010743703040.

The previous prime is 131001102322217. The next prime is 131001102322297. The reversal of 131001102322223 is 322223201100131.

It is not a de Polignac number, because 131001102322223 - 218 = 131001102060079 is a prime.

It is a super-2 number, since 2×1310011023222232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001102322523) 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, 51225203 + ... + 53721723.

It is an arithmetic number, because the mean of its divisors is an integer number (6365157456420).

Almost surely, 2131001102322223 is an apocalyptic number.

131001102322223 is a deficient number, since it is larger than the sum of its proper divisors (21762676631857).

131001102322223 is a wasteful number, since it uses less digits than its factorization.

131001102322223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499167 (or 2499160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 131001102322223 its reverse (322223201100131), we get a palindrome (453224303422354).

The spelling of 131001102322223 in words is "one hundred thirty-one trillion, one billion, one hundred two million, three hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 7 49 503 2129 3521 14903 24647 104321 1070887 2496521 7496209 17475647 52473463 122329529 1255750063 5315093209 8790250441 37205652463 61531753087 260439567241 2673491884127 18714443188889 131001102322223