Search a number
-
+
102020120202 = 237111337459091
BaseRepresentation
bin101111100000011011…
…1110111111010001010
3100202022221212002012110
41133000313313322022
53132414122321302
6114511205123150
710241103466530
oct1370067677212
9322287762173
10102020120202
113a2a2775330
12179323b94b6
13980b1acb40
144d1b476150
1529c1773b6c
hex17c0df7e8a

102020120202 has 128 divisors (see below), whose sum is σ = 281360959488. Its totient is φ = 23799225600.

The previous prime is 102020120201. The next prime is 102020120227. The reversal of 102020120202 is 202021020201.

It is not an unprimeable number, because it can be changed into a prime (102020120201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7324 + ... + 451767.

It is an arithmetic number, because the mean of its divisors is an integer number (2198132496).

Almost surely, 2102020120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140680479744).

102020120202 is an abundant number, since it is smaller than the sum of its proper divisors (179340839286).

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

102020120202 is a wasteful number, since it uses less digits than its factorization.

102020120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459164.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020120202 its reverse (202021020201), we get a palindrome (304041140403).

It can be divided in two parts, 1020201 and 20202, that added together give a triangular number (1040403 = T1442).

The spelling of 102020120202 in words is "one hundred two billion, twenty million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 459091 918182 1377273 2754546 3213637 5050001 5968183 6427274 9640911 10100002 11936366 15150003 16986367 17904549 19281822 30300006 33972734 35350007 35809098 41777281 50959101 65650013 70700014 83554562 101918202 106050021 118904569 125331843 131300026 186850037 196950039 212100042 220822771 237809138 250663686 356713707 373700074 393900078 441645542 459550091 560550111 662468313 713427414 919100182 1121100222 1307950259 1324936626 1378650273 1545759397 2429050481 2615900518 2757300546 3091518794 3923850777 4637278191 4858100962 7287151443 7847701554 9274556382 14574302886 17003353367 34006706734 51010060101 102020120202