Search a number
-
+
1012130133102 = 234111346942169
BaseRepresentation
bin11101011101001111010…
…10000011010001101110
310120202111002102000220000
432232213222003101232
5113040320303224402
62052544405205130
7133060346116404
oct16564752032156
93522432360800
101012130133102
1136027308a490
121441a84007a6
137459c3945aa
1436db745b474
151b4db63ec1c
hexeba7a8346e

1012130133102 has 80 divisors (see below), whose sum is σ = 2474338244400. Its totient is φ = 306676056960.

The previous prime is 1012130133083. The next prime is 1012130133107. The reversal of 1012130133102 is 2013310312101.

1012130133102 is a `hidden beast` number, since 10 + 1 + 21 + 301 + 331 + 0 + 2 = 666.

It is a super-2 number, since 2×10121301331022 (a number of 25 digits) contains 22 as substring.

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 (1012130133107) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23980674 + ... + 24022842.

It is an arithmetic number, because the mean of its divisors is an integer number (30929228055).

Almost surely, 21012130133102 is an apocalyptic number.

1012130133102 is an abundant number, since it is smaller than the sum of its proper divisors (1462208111298).

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

1012130133102 is a wasteful number, since it uses less digits than its factorization.

1012130133102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55663 (or 55654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1012130133102 its reverse (2013310312101), we get a palindrome (3025440445203).

The spelling of 1012130133102 in words is "one trillion, twelve billion, one hundred thirty million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 13469 26938 40407 42169 80814 84338 121221 126507 148159 242442 253014 296318 363663 379521 444477 463859 727326 759042 888954 927718 1090989 1138563 1333431 1391577 2181978 2277126 2666862 2783154 3415689 4000293 4174731 6831378 8000586 8349462 12000879 12524193 24001758 25048386 37572579 75145158 567974261 1135948522 1703922783 3407845566 5111768349 6247716871 10223536698 12495433742 15335305047 18743150613 30670610094 37486301226 46005915141 56229451839 92011830282 112458903678 168688355517 337376711034 506065066551 1012130133102