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1004104101 = 3711213113269
BaseRepresentation
bin111011110110010…
…110100110100101
32120222101202212210
4323312112212211
54024022312401
6243345234033
733611513130
oct7366264645
92528352783
101004104101
11475877300
12240332919
13130046250
14974d9217
155d2424d6
hex3bd969a5

1004104101 has 96 divisors (see below), whose sum is σ = 1833995520. Its totient is φ = 475453440.

The previous prime is 1004104097. The next prime is 1004104109. The reversal of 1004104101 is 1014014001.

It is not a de Polignac number, because 1004104101 - 22 = 1004104097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004104109) 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, 3732595 + ... + 3732863.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 21004104101 is an apocalyptic number.

1004104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004104101 is a deficient number, since it is larger than the sum of its proper divisors (829891419).

1004104101 is a wasteful number, since it uses less digits than its factorization.

1004104101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1004104101 is about 31687.6016921445. The cubic root of 1004104101 is about 1001.3661664061.

Adding to 1004104101 its reverse (1014014001), we get a palindrome (2018118102).

The spelling of 1004104101 in words is "one billion, four million, one hundred four thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 113 121 143 231 269 273 339 363 429 791 807 847 1001 1243 1469 1573 1883 2373 2541 2959 3003 3497 3729 4407 4719 5649 8701 8877 10283 10491 11011 13673 16159 20713 24479 26103 30397 30849 32549 33033 38467 41019 48477 62139 73437 91191 95711 97647 113113 115401 177749 212779 227843 269269 287133 334367 339339 395161 423137 533247 638337 683529 807807 1003101 1185483 1244243 1269411 2340569 2766127 2961959 3678037 3732729 4346771 7021707 8298381 8885877 11034111 13040313 25746259 30427397 47814481 77238777 91282191 143443443 334701367 1004104101