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31132330123232 = 2513492971518091
BaseRepresentation
bin1110001010000100011110…
…11110100101111111100000
311002020012222121120221202102
413011002033132211333200
513040033003002420412
6150113554531305532
76362144106544622
oct705021736457740
9132205877527672
1031132330123232
119a13168811158
1235a97a244b2a8
13144a9c6270850
14798b5452cc12
1538ec53c258c2
hex1c508f7a5fe0

31132330123232 has 48 divisors (see below), whose sum is σ = 66007909284912. Its totient is φ = 14368466810880.

The previous prime is 31132330123229. The next prime is 31132330123241. The reversal of 31132330123232 is 23232103323113.

It is a super-3 number, since 3×311323301232323 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31132330123195 and 31132330123204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19748507 + ... + 21266597.

It is an arithmetic number, because the mean of its divisors is an integer number (1375164776769).

Almost surely, 231132330123232 is an apocalyptic number.

31132330123232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31132330123232 is an abundant number, since it is smaller than the sum of its proper divisors (34875579161680).

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

31132330123232 is a wasteful number, since it uses less digits than its factorization.

31132330123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567411 (or 1567403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 31132330123232 its reverse (23232103323113), we get a palindrome (54364433446345).

The spelling of 31132330123232 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred thirty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 49297 98594 197188 394376 640861 788752 1281722 1518091 1577504 2563444 3036182 5126888 6072364 10253776 12144728 19735183 20507552 24289456 39470366 48578912 78940732 157881464 315762928 631525856 74837332027 149674664054 299349328108 598698656216 972885316351 1197397312432 1945770632702 2394794624864 3891541265404 7783082530808 15566165061616 31132330123232