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313100000 = 255531101
BaseRepresentation
bin10010101010011…
…000011011100000
3210211011010110022
4102222120123200
51120123200000
651022453012
710521206663
oct2252303340
9724133408
10313100000
11150811734
1288a34168
134cb36695
142d8236da
151c74a585
hex12a986e0

313100000 has 144 divisors (see below), whose sum is σ = 803198592. Its totient is φ = 120000000.

The previous prime is 313099973. The next prime is 313100003. The reversal of 313100000 is 1313.

It is a super-2 number, since 2×3131000002 = 196063220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099950 + ... + 3100050.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2313100000 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 313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401599296).

313100000 is an abundant number, since it is smaller than the sum of its proper divisors (490098592).

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

313100000 is an equidigital number, since it uses as much as digits as its factorization.

313100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 313100000 is about 17694.6319543527. The cubic root of 313100000 is about 679.0384333071.

Adding to 313100000 its reverse (1313), we get a palindrome (313101313).

The spelling of 313100000 in words is "three hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 101 124 125 155 160 200 202 248 250 310 400 404 496 500 505 620 625 775 800 808 992 1000 1010 1240 1250 1550 1616 2000 2020 2480 2500 2525 3100 3125 3131 3232 3875 4000 4040 4960 5000 5050 6200 6250 6262 7750 8080 10000 10100 12400 12500 12524 12625 15500 15655 16160 19375 20000 20200 24800 25000 25048 25250 31000 31310 38750 40400 50000 50096 50500 62000 62620 63125 77500 78275 80800 96875 100000 100192 101000 124000 125240 126250 155000 156550 193750 202000 250480 252500 310000 313100 315625 387500 391375 404000 500960 505000 620000 626200 631250 775000 782750 1010000 1252400 1262500 1550000 1565500 1956875 2020000 2504800 2525000 3100000 3131000 3913750 5050000 6262000 7827500 9784375 10100000 12524000 15655000 19568750 31310000 39137500 62620000 78275000 156550000 313100000