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31120020 = 22325832083
BaseRepresentation
bin111011010110…
…1101010010100
32011120001122100
41312231222110
530431320040
63031002100
7525341631
oct166555224
964501570
1031120020
1116625a28
12a509330
1365a7a19
1441c1188
152aeab30
hex1dada94

31120020 has 72 divisors (see below), whose sum is σ = 95580576. Its totient is φ = 8194752.

The previous prime is 31120009. The next prime is 31120027. The reversal of 31120020 is 2002113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31119984 and 31120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13899 + ... + 15981.

It is an arithmetic number, because the mean of its divisors is an integer number (1327508).

Almost surely, 231120020 is an apocalyptic number.

31120020 is a gapful number since it is divisible by the number (30) 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 31120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47790288).

31120020 is an abundant number, since it is smaller than the sum of its proper divisors (64460556).

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

31120020 is a wasteful number, since it uses less digits than its factorization.

31120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31120020 is about 5578.5320649791. The cubic root of 31120020 is about 314.5429501642.

Adding to 31120020 its reverse (2002113), we get a palindrome (33122133).

The spelling of 31120020 in words is "thirty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2083 2490 2988 3735 4166 4980 6249 7470 8332 10415 12498 14940 18747 20830 24996 31245 37494 41660 62490 74988 93735 124980 172889 187470 345778 374940 518667 691556 864445 1037334 1556001 1728890 2074668 2593335 3112002 3457780 5186670 6224004 7780005 10373340 15560010 31120020