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2090121012 = 2232767791567
BaseRepresentation
bin111110010010100…
…1011011100110100
312101122221011000100
41330211023130310
513240032333022
6543222314100
7102536510160
oct17445133464
95348834010
102090121012
11982900941
124a3b88930
1327403c3c5
1415b837ca0
15c37651ac
hex7c94b734

2090121012 has 144 divisors (see below), whose sum is σ = 6209781760. Its totient is φ = 580447296.

The previous prime is 2090120969. The next prime is 2090121013. The reversal of 2090121012 is 2101210902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090121013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1333053 + ... + 1334619.

Almost surely, 22090121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104890880).

2090121012 is an abundant number, since it is smaller than the sum of its proper divisors (4119660748).

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

2090121012 is a wasteful number, since it uses less digits than its factorization.

2090121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2090121012 is about 45717.8412876199. The cubic root of 2090121012 is about 1278.5679402432.

Adding to 2090121012 its reverse (2101210902), we get a palindrome (4191331914).

The spelling of 2090121012 in words is "two billion, ninety million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 79 84 126 134 158 201 237 252 268 316 402 469 474 553 603 711 804 938 948 1106 1206 1407 1422 1567 1659 1876 2212 2412 2814 2844 3134 3318 4221 4701 4977 5293 5628 6268 6636 8442 9402 9954 10586 10969 14103 15879 16884 18804 19908 21172 21938 28206 31758 32907 37051 43876 47637 56412 63516 65814 74102 95274 98721 104989 111153 123793 131628 148204 190548 197442 209978 222306 247586 314967 333459 371379 394884 419956 444612 495172 629934 666918 734923 742758 866551 944901 1114137 1259868 1333836 1469846 1485516 1733102 1889802 2204769 2228274 2599653 2939692 3466204 3779604 4409538 4456548 5199306 6614307 7798959 8294131 8819076 10398612 13228614 15597918 16588262 24882393 26457228 31195836 33176524 49764786 58058917 74647179 99529572 116117834 149294358 174176751 232235668 298588716 348353502 522530253 696707004 1045060506 2090121012