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10132110016 = 26729779873
BaseRepresentation
bin10010110111110101…
…11011101011000000
3222011010100111222221
421123322323223000
5131222310010031
64353222140424
7506040341230
oct113372735300
928133314887
1010132110016
11432a348246
121b69281714
13c56194492
146c1911cc0
153e47a6a11
hex25bebbac0

10132110016 has 56 divisors (see below), whose sum is σ = 23770559520. Its totient is φ = 4192591872.

The previous prime is 10132110013. The next prime is 10132110017. The reversal of 10132110016 is 61001123101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10132110013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376945 + ... + 402928.

Almost surely, 210132110016 is an apocalyptic number.

10132110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10132110016 is an abundant number, since it is smaller than the sum of its proper divisors (13638449504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132110016 is an equidigital number, since it uses as much as digits as its factorization.

10132110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779921 (or 779911 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10132110016 its reverse (61001123101), we get a palindrome (71133233117).

The spelling of 10132110016 in words is "ten billion, one hundred thirty-two million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 12992 779873 1559746 3119492 5459111 6238984 10918222 12477968 21836444 22616317 24955936 43672888 45232634 49911872 87345776 90465268 158314219 174691552 180930536 316628438 349383104 361861072 633256876 723722144 1266513752 1447444288 2533027504 5066055008 10132110016