Search a number
-
+
31000200020031 = 311731371515931049
BaseRepresentation
bin1110000110001110010111…
…11010010000000000111111
311001202120221020111020212110
413003013023322100000333
513030401402201120111
6145533143440505103
76346455566315064
oct703071372200077
9131676836436773
1031000200020031
119972124812a60
12358806831b193
13143b3c9c9b228
147925bc1bcc6b
1538b5bdda05a6
hex1c31cbe9003f

31000200020031 has 128 divisors (see below), whose sum is σ = 46469861222400. Its totient is φ = 18225340416000.

The previous prime is 31000200019991. The next prime is 31000200020047. The reversal of 31000200020031 is 13002000200013.

It is a happy number.

It is not a de Polignac number, because 31000200020031 - 29 = 31000200019519 is a prime.

It is a super-2 number, since 2×310002000200312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000200019989 and 31000200020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000200020081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29552144395 + ... + 29552145443.

It is an arithmetic number, because the mean of its divisors is an integer number (363045790800).

Almost surely, 231000200020031 is an apocalyptic number.

31000200020031 is a deficient number, since it is larger than the sum of its proper divisors (15469661202369).

31000200020031 is a wasteful number, since it uses less digits than its factorization.

31000200020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31000200020031 its reverse (13002000200013), we get a palindrome (44002200220044).

The spelling of 31000200020031 in words is "thirty-one trillion, two hundred million, twenty thousand, thirty-one".

Divisors: 1 3 11 33 73 137 151 219 411 453 593 803 1049 1507 1661 1779 2409 3147 4521 4983 6523 10001 11023 11539 19569 20687 30003 33069 34617 43289 62061 76577 81241 89543 110011 121253 129867 143713 158399 227557 229731 243723 268629 330033 363759 431139 475197 476179 622057 682671 842347 893651 984973 1428537 1510151 1580843 1742389 1866171 2527041 2680953 2954919 4530453 4742529 5227167 5930593 6536639 6842627 10491049 11563127 12267391 16611661 17791779 19609917 20527881 21700663 31473147 34689381 36802173 45410161 49834983 65101989 65236523 71903029 85221809 93930607 115401539 127194397 134941301 136230483 195709569 215709087 238707293 255665427 281791821 346204617 381583191 404823903 499511771 716121879 895519543 937439899 1033236677 1498535313 1584148399 2686558629 2812319697 3099710031 4752445197 6221192057 6856934311 9850714973 12868493159 17425632389 18663576171 20570802933 29552144919 38605479477 52276897167 68433112627 75426277421 141553424749 205299337881 226278832263 424660274247 939400000607 2818200001821 10333400006677 31000200020031