Search a number
-
+
32111031232112 = 2473767191153267
BaseRepresentation
bin1110100110100011011101…
…00111000010011001110000
311012200210011222101121100012
413103101232213002121300
513202101342443411422
6152143334252514052
76522642200655320
oct723215647023160
9135623158347305
1032111031232112
11a260236aa7998
1237273bb47b928
1314bc098a24421
147d0279d7b280
153aa43569e4e2
hex1d346e9c2670

32111031232112 has 80 divisors (see below), whose sum is σ = 73035632087040. Its totient is φ = 13387923627264.

The previous prime is 32111031232109. The next prime is 32111031232117. The reversal of 32111031232112 is 21123213011123.

It is a happy number.

It is a super-2 number, since 2×321110312321122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32111031232117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27266903 + ... + 28420169.

It is an arithmetic number, because the mean of its divisors is an integer number (912945401088).

Almost surely, 232111031232112 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 32111031232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517816043520).

32111031232112 is an abundant number, since it is smaller than the sum of its proper divisors (40924600854928).

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

32111031232112 is a wasteful number, since it uses less digits than its factorization.

32111031232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160038 (or 1160032 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 32111031232112 its reverse (21123213011123), we get a palindrome (53234244243235).

The spelling of 32111031232112 in words is "thirty-two trillion, one hundred eleven billion, thirty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 6719 13438 26876 47033 53752 94066 107504 188132 248603 376264 497206 752528 994412 1153267 1740221 1988824 2306534 3480442 3977648 4613068 6960884 8072869 9226136 13921768 16145738 18452272 27843536 32291476 42670879 64582952 85341758 129165904 170683516 298696153 341367032 597392306 682734064 1194784612 2389569224 4779138448 7748800973 15497601946 30995203892 54241606811 61990407784 108483213622 123980815568 216966427244 286705636001 433932854488 573411272002 867865708976 1146822544004 2006939452007 2293645088008 4013878904014 4587290176016 8027757808028 16055515616056 32111031232112