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2133104358 = 2372113121277
BaseRepresentation
bin111111100100100…
…1001011011100110
312111122210221002010
41333021021123212
513332033314413
6551355455050
7103601042100
oct17711113346
95448727063
102133104358
119a5099970
124b6457486
1327cc0bb38
14163426570
15c7405dc3
hex7f2496e6

2133104358 has 96 divisors (see below), whose sum is σ = 5588794368. Its totient is φ = 536155200.

The previous prime is 2133104357. The next prime is 2133104371. The reversal of 2133104358 is 8534013312.

It is a super-3 number, since 3×21331043583 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133104357) 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, 89616 + ... + 110892.

It is an arithmetic number, because the mean of its divisors is an integer number (58216608).

Almost surely, 22133104358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133104358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794397184).

2133104358 is an abundant number, since it is smaller than the sum of its proper divisors (3455690010).

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

2133104358 is a wasteful number, since it uses less digits than its factorization.

2133104358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21338 (or 21331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2133104358 is about 46185.5427379608. The cubic root of 2133104358 is about 1287.2731208984.

It can be divided in two parts, 2133 and 104358, that added together give a triangular number (106491 = T461).

The spelling of 2133104358 in words is "two billion, one hundred thirty-three million, one hundred four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 4557 4774 7161 9114 14322 16709 21277 33418 42554 50127 63831 100254 127662 148939 234047 297878 446817 468094 659587 702141 893634 1042573 1319174 1404282 1638329 1978761 2085146 3127719 3276658 3957522 4617109 4914987 6255438 7255457 9234218 9829974 11468303 13851327 14510914 21766371 22936606 27702654 32319763 34404909 43532742 50788199 64639526 68809818 96959289 101576398 152364597 193918578 304729194 355517393 711034786 1066552179 2133104358