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100083335 = 51121737263
BaseRepresentation
bin1011111011100…
…10011010000111
320222022202112012
411331302122013
5201110131320
613533044435
72323460102
oct575623207
9228282465
10100083335
1151549100
122962671b
1317972711
14d413739
158bbe4c5
hex5f72687

100083335 has 48 divisors (see below), whose sum is σ = 144099648. Its totient is φ = 66401280.

The previous prime is 100083331. The next prime is 100083353. The reversal of 100083335 is 533380001.

It is not a de Polignac number, because 100083335 - 22 = 100083331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100083335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100083331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380414 + ... + 380676.

It is an arithmetic number, because the mean of its divisors is an integer number (3002076).

Almost surely, 2100083335 is an apocalyptic number.

100083335 is a deficient number, since it is larger than the sum of its proper divisors (44016313).

100083335 is a wasteful number, since it uses less digits than its factorization.

100083335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 100083335 is about 10004.1658822712. The cubic root of 100083335 is about 464.2877831635.

The spelling of 100083335 in words is "one hundred million, eighty-three thousand, three hundred thirty-five".

Divisors: 1 5 11 17 37 55 85 121 185 187 263 407 605 629 935 1315 2035 2057 2893 3145 4471 4477 6919 9731 10285 14465 22355 22385 31823 34595 48655 49181 76109 107041 159115 165427 245905 380545 535205 540991 827135 1177451 1819697 2704955 5887255 9098485 20016667 100083335