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10001302223103 = 3267711092837573
BaseRepresentation
bin1001000110001001110000…
…0100001111100011111111
31022102010002221121001002200
42101202130010033203333
52302330131332114403
633134311304122543
72051366410144152
oct221423404174377
938363087531080
1010001302223103
11320658a40a564
12115639ba66453
13577170b91339
142680cc06bc99
15125254421ca3
hex9189c10f8ff

10001302223103 has 96 divisors (see below), whose sum is σ = 15059865300480. Its totient is φ = 6392587703040.

The previous prime is 10001302223027. The next prime is 10001302223111. The reversal of 10001302223103 is 30132220310001.

10001302223103 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 130 + 222 + 310 + 3 = 666.

10001302223103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10001302223103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001302223183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320648825 + ... + 1320656397.

It is an arithmetic number, because the mean of its divisors is an integer number (156873596880).

Almost surely, 210001302223103 is an apocalyptic number.

10001302223103 is a deficient number, since it is larger than the sum of its proper divisors (5058563077377).

10001302223103 is a wasteful number, since it uses less digits than its factorization.

10001302223103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10001302223103 its reverse (30132220310001), we get a palindrome (40133522533104).

The spelling of 10001302223103 in words is "ten trillion, one billion, three hundred two million, two hundred twenty-three thousand, one hundred three".

Divisors: 1 3 9 67 71 109 201 213 283 327 603 639 849 981 2547 4757 7303 7573 7739 14271 18961 20093 21909 22719 23217 30847 42813 56883 60279 65727 68157 69651 92541 170649 180837 277623 507391 518513 537683 825457 1346231 1522173 1555539 1613049 2066749 2143159 2190137 2476371 4038693 4566519 4666617 4839147 6200247 6429477 6570411 7429113 12116079 18600741 19288431 19711233 36024761 55305619 58607447 108074283 143591653 146739179 152164289 165916857 175822341 233604331 324222849 430774959 440217537 456492867 497750571 527467023 700812993 1292324877 1320652611 1369478601 2102438979 3926698949 10195007363 11780096847 15651490177 16585907501 30585022089 35340290541 46954470531 49757722503 91755066267 140863411593 149273167509 1111255802567 3333767407701 10001302223103