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311030112 = 25397127263
BaseRepresentation
bin10010100010011…
…111000101100000
3210200020222002210
4102202133011200
51114110430422
650510242120
710464466221
oct2242370540
9720228083
10311030112
1114a628588
12881b6340
134c5904b3
142d445248
151c48c10c
hex1289f160

311030112 has 96 divisors (see below), whose sum is σ = 834527232. Its totient is φ = 101412864.

The previous prime is 311030089. The next prime is 311030117. The reversal of 311030112 is 211030113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311030117) 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, 1182493 + ... + 1182755.

It is an arithmetic number, because the mean of its divisors is an integer number (8692992).

Almost surely, 2311030112 is an apocalyptic number.

311030112 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 311030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417263616).

311030112 is an abundant number, since it is smaller than the sum of its proper divisors (523497120).

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

311030112 is a wasteful number, since it uses less digits than its factorization.

311030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311030112 is about 17636.0458153181. The cubic root of 311030112 is about 677.5387609619.

Adding to 311030112 its reverse (211030113), we get a palindrome (522060225).

Subtracting from 311030112 its reverse (211030113), we obtain a palindrome (99999999).

The spelling of 311030112 in words is "three hundred eleven million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 127 194 254 263 291 381 388 508 526 582 762 776 789 1016 1052 1164 1524 1552 1578 2032 2104 2328 3048 3104 3156 4064 4208 4656 6096 6312 8416 9312 12192 12319 12624 24638 25248 25511 33401 36957 49276 51022 66802 73914 76533 98552 100203 102044 133604 147828 153066 197104 200406 204088 267208 295656 306132 394208 400812 408176 534416 591312 612264 801624 816352 1068832 1182624 1224528 1603248 2449056 3206496 3239897 6479794 9719691 12959588 19439382 25919176 38878764 51838352 77757528 103676704 155515056 311030112