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313124020 = 2251117292887
BaseRepresentation
bin10010101010011…
…110010010110100
3210211012100101221
4102222132102310
51120124432040
651023200124
710521340006
oct2252362264
9724170357
10313124020
11150828790
1288a46044
134cb445b1
142d82c376
151c75274a
hex12a9e4b4

313124020 has 96 divisors (see below), whose sum is σ = 785998080. Its totient is φ = 103434240.

The previous prime is 313123981. The next prime is 313124023. The reversal of 313124020 is 20421313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313123985 and 313124003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313124023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107017 + ... + 109903.

It is an arithmetic number, because the mean of its divisors is an integer number (8187480).

Almost surely, 2313124020 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 313124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392999040).

313124020 is an abundant number, since it is smaller than the sum of its proper divisors (472874060).

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

313124020 is a wasteful number, since it uses less digits than its factorization.

313124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313124020 is about 17695.3106782560. The cubic root of 313124020 is about 679.0557973932.

Adding to 313124020 its reverse (20421313), we get a palindrome (333545333).

The spelling of 313124020 in words is "three hundred thirteen million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 110 116 145 170 187 220 290 319 340 374 493 580 638 748 935 986 1276 1595 1870 1972 2465 2887 3190 3740 4930 5423 5774 6380 9860 10846 11548 14435 21692 27115 28870 31757 49079 54230 57740 63514 83723 98158 108460 127028 158785 167446 196316 245395 317570 334892 418615 490790 539869 635140 837230 920953 981580 1079738 1423291 1674460 1841906 2159476 2699345 2846582 3683812 4604765 5398690 5693164 7116455 9209530 10797380 14232910 15656201 18419060 28465820 31312402 62624804 78281005 156562010 313124020