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2033012142 = 233741233563
BaseRepresentation
bin111100100101101…
…0100110110101110
312020200110201101000
41321023110312232
513130422342032
6533422301130
7101244214050
oct17113246656
95220421330
102033012142
11953645127
12488a277a6
13265265385
1415400d8d0
15bd733e7c
hex792d4dae

2033012142 has 128 divisors (see below), whose sum is σ = 5321272320. Its totient is φ = 563258880.

The previous prime is 2033012131. The next prime is 2033012171. The reversal of 2033012142 is 2412103302.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3610753 + ... + 3611315.

It is an arithmetic number, because the mean of its divisors is an integer number (41572440).

Almost surely, 22033012142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033012142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660636160).

2033012142 is an abundant number, since it is smaller than the sum of its proper divisors (3288260178).

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

2033012142 is a wasteful number, since it uses less digits than its factorization.

2033012142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

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

The square root of 2033012142 is about 45088.9359155880. The cubic root of 2033012142 is about 1266.8153706150.

Adding to 2033012142 its reverse (2412103302), we get a palindrome (4445115444).

The spelling of 2033012142 in words is "two billion, thirty-three million, twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 189 233 246 287 369 378 466 563 574 699 738 861 1107 1126 1398 1631 1689 1722 2097 2214 2583 3262 3378 3941 4194 4893 5067 5166 6291 7749 7882 9553 9786 10134 11823 12582 14679 15201 15498 19106 23083 23646 28659 29358 30402 35469 44037 46166 57318 66871 69249 70938 85977 88074 106407 131179 133742 138498 161581 171954 200613 207747 212814 257931 262358 323162 393537 401226 415494 484743 515862 601839 623241 787074 918253 969486 1180611 1203678 1246482 1454229 1805517 1836506 2361222 2754759 2908458 3541833 3611034 4362687 5378339 5509518 7083666 8264277 8725374 10756678 16135017 16528554 24792831 32270034 37648373 48405051 49585662 75296746 96810102 112945119 145215153 225890238 290430306 338835357 677670714 1016506071 2033012142