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31100112 = 243519421
BaseRepresentation
bin111011010100…
…0110011010000
32011112001100000
41312220303100
530430200422
63030330000
7525226611
oct166506320
964461300
1031100112
1116611a7a
12a4b9900
13659b944
1441b7c08
152ae4cac
hex1da8cd0

31100112 has 120 divisors (see below), whose sum is σ = 95236960. Its totient is φ = 9797760.

The previous prime is 31100101. The next prime is 31100149. The reversal of 31100112 is 21100113.

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 = 31100094 and 31100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73662 + ... + 74082.

Almost surely, 231100112 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 31100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47618480).

31100112 is an abundant number, since it is smaller than the sum of its proper divisors (64136848).

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

31100112 is a wasteful number, since it uses less digits than its factorization.

31100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 31100112 is about 5576.7474391441. The cubic root of 31100112 is about 314.4758630521.

Adding to 31100112 its reverse (21100113), we get a palindrome (52200225).

Subtracting from 31100112 its reverse (21100113), we obtain a palindrome (9999999).

The spelling of 31100112 in words is "thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 421 432 456 486 513 648 684 842 912 972 1026 1263 1296 1368 1539 1684 1944 2052 2526 2736 3078 3368 3789 3888 4104 4617 5052 6156 6736 7578 7999 8208 9234 10104 11367 12312 15156 15998 18468 20208 22734 23997 24624 30312 31996 34101 36936 45468 47994 60624 63992 68202 71991 73872 90936 95988 102303 127984 136404 143982 181872 191976 204606 215973 272808 287964 383952 409212 431946 545616 575928 647919 818424 863892 1151856 1295838 1636848 1727784 1943757 2591676 3455568 3887514 5183352 7775028 10366704 15550056 31100112