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2032021134 = 2331113359733
BaseRepresentation
bin111100100011110…
…0010111010001110
312020121121100222000
41321013202322032
513130144134014
6533345133130
7101232615603
oct17107427216
95217540860
102032021134
11953028610
1248862a1a6
13264ca9290
14153c326aa
15bd5da509
hex791e2e8e

2032021134 has 128 divisors (see below), whose sum is σ = 5327078400. Its totient is φ = 566040960.

The previous prime is 2032021111. The next prime is 2032021217. The reversal of 2032021134 is 4311202302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2771832 + ... + 2772564.

It is an arithmetic number, because the mean of its divisors is an integer number (41617800).

Almost surely, 22032021134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032021134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663539200).

2032021134 is an abundant number, since it is smaller than the sum of its proper divisors (3295057266).

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

2032021134 is a wasteful number, since it uses less digits than its factorization.

2032021134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2032021134 is about 45077.9450951349. The cubic root of 2032021134 is about 1266.6094974044.

Adding to 2032021134 its reverse (4311202302), we get a palindrome (6343223436).

The spelling of 2032021134 in words is "two billion, thirty-two million, twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 359 429 594 702 718 733 858 1077 1287 1466 2154 2199 2574 3231 3861 3949 4398 4667 6462 6597 7722 7898 8063 9334 9529 9693 11847 13194 14001 16126 19058 19386 19791 23694 24189 28002 28587 35541 39582 42003 48378 51337 57174 71082 72567 84006 85761 102674 104819 106623 126009 145134 154011 171522 209638 213246 217701 252018 257283 263147 308022 314457 435402 462033 514566 526294 628914 789441 924066 943371 1386099 1578882 1886742 2368323 2772198 2830113 2894617 3420911 4736646 5660226 5789234 6841822 7104969 8683851 10262733 14209938 17367702 20525466 26051553 30788199 37630021 52103106 61576398 75260042 78154659 92364597 112890063 156309318 184729194 225780126 338670189 677340378 1016010567 2032021134