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10103122304 = 271117422089
BaseRepresentation
bin10010110100011000…
…10110100110000000
3222002002210210022222
421122030112212000
5131142344403204
64350304550212
7505236060032
oct113214264600
928062723288
1010103122304
114314a49360
121b5b622368
13c501851a2
146bbb27c52
153e1e7cabe
hex25a316980

10103122304 has 64 divisors (see below), whose sum is σ = 23248717200. Its totient is φ = 4322181120.

The previous prime is 10103122277. The next prime is 10103122313. The reversal of 10103122304 is 40322130101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187109 + ... + 234980.

Almost surely, 210103122304 is an apocalyptic number.

It is an amenable number.

10103122304 is an abundant number, since it is smaller than the sum of its proper divisors (13145594896).

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

10103122304 is a wasteful number, since it uses less digits than its factorization.

10103122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422131 (or 422119 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10103122304 its reverse (40322130101), we get a palindrome (50425252405).

The spelling of 10103122304 in words is "ten billion, one hundred three million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 422089 844178 1688356 3376712 4642979 6753424 7175513 9285958 13506848 14351026 18571916 27013696 28702052 37143832 54027392 57404104 74287664 78930643 114808208 148575328 157861286 229616416 297150656 315722572 459232832 594301312 631445144 918465664 1262890288 2525780576 5051561152 10103122304