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100023114303 = 3472192945737
BaseRepresentation
bin101110100100111010…
…1111001101000111111
3100120011210010200010000
41131021311321220333
53114321404124203
6113541110245343
710140444305100
oct1351165715077
9316153120100
10100023114303
1139468493232
1217475656853
139580543548
144bac15a3a7
1529062a34a3
hex1749d79a3f

100023114303 has 120 divisors (see below), whose sum is σ = 189272991600. Its totient is φ = 52279540992.

The previous prime is 100023114283. The next prime is 100023114307. The reversal of 100023114303 is 303411320001.

100023114303 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 231 + 1 + 430 + 3 = 666.

It is not a de Polignac number, because 100023114303 - 210 = 100023113279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023114307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2164051 + ... + 2209787.

It is an arithmetic number, because the mean of its divisors is an integer number (1577274930).

Almost surely, 2100023114303 is an apocalyptic number.

100023114303 is a deficient number, since it is larger than the sum of its proper divisors (89249877297).

100023114303 is a wasteful number, since it uses less digits than its factorization.

100023114303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45811 (or 45795 counting only the distinct ones).

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

Adding to 100023114303 its reverse (303411320001), we get a palindrome (403434434304).

The spelling of 100023114303 in words is "one hundred billion, twenty-three million, one hundred fourteen thousand, three hundred three".

Divisors: 1 3 7 9 19 21 27 29 49 57 63 81 87 133 147 171 189 203 261 399 441 513 551 567 609 783 931 1197 1323 1421 1539 1653 1827 2349 2793 3591 3857 3969 4263 4959 5481 8379 10773 11571 12789 14877 16443 25137 26999 34713 38367 44631 45737 75411 80997 104139 115101 137211 242991 312417 320159 411633 728973 869003 960477 1234899 1326373 2186919 2241113 2607009 2881431 3704697 3979119 6083021 6723339 7821027 8644293 9284611 11937357 18249063 20170017 23463081 25201087 25932879 27853833 35812071 42581147 54747189 60510051 64992277 70389243 75603261 83561499 107436213 127743441 164241567 176407609 181530153 194976831 226809783 250684497 383230323 492724701 529222827 584930493 680429349 752053491 1149690969 1234853263 1587668481 1754791479 2041288047 3449072907 3704559789 4763005443 5264374437 11113679367 14289016329 33341038101 100023114303