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401312112 = 24331283953
BaseRepresentation
bin10111111010111…
…000100101110000
31000222010202201120
4113322320211300
51310213441422
6103453302240
712642045105
oct2772704560
91028122646
10401312112
11196591803
12b2494980
13651b08b6
143b426aac
152537245c
hex17eb8970

401312112 has 80 divisors (see below), whose sum is σ = 1075074048. Its totient is φ = 128862720.

The previous prime is 401312089. The next prime is 401312113. The reversal of 401312112 is 211213104.

It is a super-2 number, since 2×4013121122 = 322102822475801088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401312091 and 401312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401312113) 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, 420628 + ... + 421580.

Almost surely, 2401312112 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 401312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537537024).

401312112 is an abundant number, since it is smaller than the sum of its proper divisors (673761936).

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

401312112 is a wasteful number, since it uses less digits than its factorization.

401312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 401312112 is about 20032.7759434383. The cubic root of 401312112 is about 737.6110640740.

Adding to 401312112 its reverse (211213104), we get a palindrome (612525216).

The spelling of 401312112 in words is "four hundred one million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 283 372 496 566 744 849 953 1132 1488 1698 1906 2264 2859 3396 3812 4528 5718 6792 7624 8773 11436 13584 15248 17546 22872 26319 29543 35092 45744 52638 59086 70184 88629 105276 118172 140368 177258 210552 236344 269699 354516 421104 472688 539398 709032 809097 1078796 1418064 1618194 2157592 3236388 4315184 6472776 8360669 12945552 16721338 25082007 33442676 50164014 66885352 100328028 133770704 200656056 401312112