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21771345102 = 23132966114561
BaseRepresentation
bin10100010001101011…
…000101110011001110
32002012021121220220220
4110101223011303032
5324041431020402
614000203252210
71400341244223
oct242153056316
962167556826
1021771345102
1192623a18a1
12427721a066
13208c674030
1410a765d94a
15876513dbc
hex511ac5cce

21771345102 has 64 divisors (see below), whose sum is σ = 48585821760. Its totient is φ = 6457651200.

The previous prime is 21771345059. The next prime is 21771345107. The reversal of 21771345102 is 20154317712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21771345107) 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 31 ways as a sum of consecutive naturals, for example, 1487902 + ... + 1502462.

It is an arithmetic number, because the mean of its divisors is an integer number (759153465).

Almost surely, 221771345102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21771345102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24292910880).

21771345102 is an abundant number, since it is smaller than the sum of its proper divisors (26814476658).

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

21771345102 is a wasteful number, since it uses less digits than its factorization.

21771345102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269.

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 21771345102 in words is "twenty-one billion, seven hundred seventy-one million, three hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 661 754 1131 1322 1983 2262 3966 8593 14561 17186 19169 25779 29122 38338 43683 51558 57507 87366 115014 189293 249197 378586 422269 498394 567879 747591 844538 1135758 1266807 1495182 2533614 5489497 9624821 10978994 16468491 19249642 28874463 32936982 57748926 125122673 250245346 279119809 375368019 558239618 750736038 837359427 1674718854 3628557517 7257115034 10885672551 21771345102