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31121232032 = 2511457193463
BaseRepresentation
bin11100111110111110…
…000101000010100000
32222022220002101120102
4130332332011002200
51002214013411112
622144044001532
72151133051622
oct347676050240
988286071512
1031121232032
1112220140280
1260465302a8
132c1c76abc7
141713312c12
15c222a5bc2
hex73ef850a0

31121232032 has 48 divisors (see below), whose sum is σ = 66986523072. Its totient is φ = 14114987520.

The previous prime is 31121232013. The next prime is 31121232047. The reversal of 31121232032 is 23023212113.

It is a junction number, because it is equal to n+sod(n) for n = 31121231995 and 31121232013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64133 + ... + 257595.

It is an arithmetic number, because the mean of its divisors is an integer number (1395552564).

Almost surely, 231121232032 is an apocalyptic number.

31121232032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31121232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33493261536).

31121232032 is an abundant number, since it is smaller than the sum of its proper divisors (35865291040).

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

31121232032 is a wasteful number, since it uses less digits than its factorization.

31121232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193941 (or 193933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31121232032 its reverse (23023212113), we get a palindrome (54144444145).

The spelling of 31121232032 in words is "thirty-one billion, one hundred twenty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 457 914 1828 3656 5027 7312 10054 14624 20108 40216 80432 160864 193463 386926 773852 1547704 2128093 3095408 4256186 6190816 8512372 17024744 34049488 68098976 88412591 176825182 353650364 707300728 972538501 1414601456 1945077002 2829202912 3890154004 7780308008 15560616016 31121232032