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31102120 = 2357113983
BaseRepresentation
bin111011010100…
…1010010101000
32011112011002101
41312221102220
530430231440
63030343144
7525235510
oct166512250
964464071
1031102120
1116613535
12a4baab4
13659c82a
1441b8840
152ae569a
hex1da94a8

31102120 has 64 divisors (see below), whose sum is σ = 80766720. Its totient is φ = 10558464.

The previous prime is 31102087. The next prime is 31102121. The reversal of 31102120 is 2120113.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 31102097 and 31102106.

It is not an unprimeable number, because it can be changed into a prime (31102121) 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, 31149 + ... + 32131.

It is an arithmetic number, because the mean of its divisors is an integer number (1261980).

Almost surely, 231102120 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 31102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40383360).

31102120 is an abundant number, since it is smaller than the sum of its proper divisors (49664600).

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

31102120 is a wasteful number, since it uses less digits than its factorization.

31102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 31102120 is about 5576.9274694943. The cubic root of 31102120 is about 314.4826310228.

Adding to 31102120 its reverse (2120113), we get a palindrome (33222233).

The spelling of 31102120 in words is "thirty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 983 1130 1582 1966 2260 3164 3932 3955 4520 4915 6328 6881 7864 7910 9830 13762 15820 19660 27524 31640 34405 39320 55048 68810 111079 137620 222158 275240 444316 555395 777553 888632 1110790 1555106 2221580 3110212 3887765 4443160 6220424 7775530 15551060 31102120