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101327247 = 33721929139
BaseRepresentation
bin1100000101000…
…10000110001111
321001122221212000
412002202012033
5201414432442
614015443343
72340160500
oct602420617
9231587760
10101327247
115221872a
1229b26553
1317cb9968
14d658ba7
158d67d4c
hex60a218f

101327247 has 96 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 52581312.

The previous prime is 101327243. The next prime is 101327257. The reversal of 101327247 is 742723101.

It is a happy number.

It is not a de Polignac number, because 101327247 - 22 = 101327243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101327247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101327243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728904 + ... + 729042.

It is an arithmetic number, because the mean of its divisors is an integer number (1995000).

Almost surely, 2101327247 is an apocalyptic number.

101327247 is a deficient number, since it is larger than the sum of its proper divisors (90192753).

101327247 is a wasteful number, since it uses less digits than its factorization.

101327247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 101327247 is about 10066.1436012010. The cubic root of 101327247 is about 466.2033763249.

The spelling of 101327247 in words is "one hundred one million, three hundred twenty-seven thousand, two hundred forty-seven".

Divisors: 1 3 7 9 19 21 27 29 49 57 63 87 133 139 147 171 189 203 261 399 417 441 513 551 609 783 931 973 1197 1251 1323 1421 1653 1827 2641 2793 2919 3591 3753 3857 4031 4263 4959 5481 6811 7923 8379 8757 11571 12093 12789 14877 18487 20433 23769 25137 26271 26999 28217 34713 36279 38367 55461 61299 71307 76589 80997 84651 104139 108837 129409 166383 183897 197519 229767 242991 253953 388227 499149 536123 592557 689301 728973 761859 1164681 1608369 1777671 2067903 3494043 3752861 4825107 5333013 11258583 14475321 33775749 101327247