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101210406664 = 2341747741269
BaseRepresentation
bin101111001000010011…
…1000011111100001000
3100200020112020101001011
41132100213003330020
53124234331003124
6114255002133304
710212042155623
oct1362047037410
9320215211034
10101210406664
1139a176aa594
12177471b1234
13970c5088c3
144c81adcdba
15297562d994
hex17909c3f08

101210406664 has 32 divisors (see below), whose sum is σ = 194428747800. Its totient is φ = 49363130880.

The previous prime is 101210406653. The next prime is 101210406673. The reversal of 101210406664 is 466604012101.

It can be written as a sum of positive squares in 4 ways, for example, as 55823512900 + 45386893764 = 236270^2 + 213042^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2431822 + ... + 2473090.

Almost surely, 2101210406664 is an apocalyptic number.

It is an amenable number.

101210406664 is a deficient number, since it is larger than the sum of its proper divisors (93218341136).

101210406664 is a wasteful number, since it uses less digits than its factorization.

101210406664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48793 (or 48789 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 101210406664 its reverse (466604012101), we get a palindrome (567814418765).

The spelling of 101210406664 in words is "one hundred one billion, two hundred ten million, four hundred six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 41 82 164 328 7477 14954 29908 41269 59816 82538 165076 306557 330152 613114 1226228 1692029 2452456 3384058 6768116 13536232 308568313 617136626 1234273252 2468546504 12651300833 25302601666 50605203332 101210406664