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313025000 = 235519659
BaseRepresentation
bin10010101010000…
…110000111101000
3210211000022120112
4102222012013220
51120113300000
651021113452
710520445221
oct2252060750
9724008515
10313025000
11150770352
12889b8888
134cb0b4c2
142d804248
151c733235
hex12a861e8

313025000 has 96 divisors (see below), whose sum is σ = 773388000. Its totient is φ = 118440000.

The previous prime is 313024991. The next prime is 313025021. The reversal of 313025000 is 520313.

313025000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 474671 + ... + 475329.

It is an arithmetic number, because the mean of its divisors is an integer number (8056125).

Almost surely, 2313025000 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 313025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386694000).

313025000 is an abundant number, since it is smaller than the sum of its proper divisors (460363000).

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

313025000 is an equidigital number, since it uses as much as digits as its factorization.

313025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 313025000 is about 17692.5125406201. The cubic root of 313025000 is about 678.9842100031.

Adding to 313025000 its reverse (520313), we get a palindrome (313545313).

The spelling of 313025000 in words is "three hundred thirteen million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 659 760 950 1000 1250 1318 1900 2375 2500 2636 3125 3295 3800 4750 5000 5272 6250 6590 9500 11875 12500 12521 13180 16475 19000 23750 25000 25042 26360 32950 47500 50084 59375 62605 65900 82375 95000 100168 118750 125210 131800 164750 237500 250420 313025 329500 411875 475000 500840 626050 659000 823750 1252100 1565125 1647500 2059375 2504200 3130250 3295000 4118750 6260500 7825625 8237500 12521000 15651250 16475000 31302500 39128125 62605000 78256250 156512500 313025000