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10521771216 = 2431119927597
BaseRepresentation
bin10011100110010010…
…10111110011010000
31000011021120100200020
421303021113303100
5133022033134331
64500022023440
7521511402555
oct116311276320
930137510606
1010521771216
11450a2a14a0
122057877b80
13cb8b25c38
1471b584a2c
15418ac6c96
hex273257cd0

10521771216 has 40 divisors (see below), whose sum is σ = 29652265824. Its totient is φ = 3188415360.

The previous prime is 10521771209. The next prime is 10521771217. The reversal of 10521771216 is 61217712501.

10521771216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105217712162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521771217) 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 7 ways as a sum of consecutive naturals, for example, 9963271 + ... + 9964326.

Almost surely, 210521771216 is an apocalyptic number.

10521771216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10521771216 is an abundant number, since it is smaller than the sum of its proper divisors (19130494608).

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

10521771216 is a wasteful number, since it uses less digits than its factorization.

10521771216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19927619 (or 19927613 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 10521771216 in words is "ten billion, five hundred twenty-one million, seven hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19927597 39855194 59782791 79710388 119565582 159420776 219203567 239131164 318841552 438407134 478262328 657610701 876814268 956524656 1315221402 1753628536 2630442804 3507257072 5260885608 10521771216