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2133111000 = 233531937423
BaseRepresentation
bin111111100100100…
…1011000011011000
312111122211021012010
41333021023003120
513332034023000
6551355545520
7103601100336
oct17711130330
95448737163
102133111000
119a50a3959
124b645b2a0
1327cc11b77
14163428b56
15c7407d50
hex7f24b0d8

2133111000 has 128 divisors (see below), whose sum is σ = 7005772800. Its totient is φ = 538876800.

The previous prime is 2133110999. The next prime is 2133111017. The reversal of 2133111000 is 1113312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38289 + ... + 75711.

It is an arithmetic number, because the mean of its divisors is an integer number (54732600).

Almost surely, 22133111000 is an apocalyptic number.

2133111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502886400).

2133111000 is an abundant number, since it is smaller than the sum of its proper divisors (4872661800).

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

2133111000 is a wasteful number, since it uses less digits than its factorization.

2133111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37466 (or 37452 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2133111000 is about 46185.6146435229. The cubic root of 2133111000 is about 1287.2744569886.

Adding to 2133111000 its reverse (1113312), we get a palindrome (2134224312).

The spelling of 2133111000 in words is "two billion, one hundred thirty-three million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 37423 57000 74846 112269 149692 187115 224538 299384 374230 449076 561345 711037 748460 898152 935575 1122690 1422074 1496920 1871150 2133111 2245380 2806725 2844148 3555185 3742300 4266222 4490760 4677875 5613450 5688296 7110370 7484600 8532444 9355750 10665555 11226900 14033625 14220740 17064888 17775925 18711500 21331110 22453800 28067250 28441480 35551850 37423000 42662220 53327775 56134500 71103700 85324440 88879625 106655550 112269000 142207400 177759250 213311100 266638875 355518500 426622200 533277750 711037000 1066555500 2133111000