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313111040 = 2951111119
BaseRepresentation
bin10010101010011…
…011001000000000
3210211011200121012
4102222123020000
51120124023130
651023020052
710521254114
oct2252331000
9724150535
10313111040
11150819a60
1288a3a628
134cb3b708
142d827744
151c74d995
hex12a9b200

313111040 has 80 divisors (see below), whose sum is σ = 819054720. Its totient is φ = 113848320.

The previous prime is 313111037. The next prime is 313111061. The reversal of 313111040 is 40111313.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22601 + ... + 33719.

It is an arithmetic number, because the mean of its divisors is an integer number (10238184).

Almost surely, 2313111040 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 313111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409527360).

313111040 is an abundant number, since it is smaller than the sum of its proper divisors (505943680).

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

313111040 is a wasteful number, since it uses less digits than its factorization.

313111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 313111040 is about 17694.9439106203. The cubic root of 313111040 is about 679.0464142463.

Adding to 313111040 its reverse (40111313), we get a palindrome (353222353).

The spelling of 313111040 in words is "three hundred thirteen million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 11119 14080 22238 28160 44476 55595 88952 111190 122309 177904 222380 244618 355808 444760 489236 611545 711616 889520 978472 1223090 1423232 1779040 1956944 2446180 2846464 3558080 3913888 4892360 5692928 7116160 7827776 9784720 14232320 15655552 19569440 28464640 31311104 39138880 62622208 78277760 156555520 313111040