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313023403320 = 233513731161223
BaseRepresentation
bin1001000111000011010…
…01100001010100111000
31002220222010202110112020
410203201221201110320
520112032442401240
6355445001514440
731421004012255
oct4434151412470
91086863673466
10313023403320
11110830606a41
12507baaa2a20
1323697005b14
1411216a4042c
158220bd50d0
hex48e1a61538

313023403320 has 128 divisors (see below), whose sum is σ = 948981795840. Its totient is φ = 82595824640.

The previous prime is 313023403271. The next prime is 313023403337. The reversal of 313023403320 is 23304320313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082229 + ... + 5143451.

It is an arithmetic number, because the mean of its divisors is an integer number (7413920280).

Almost surely, 2313023403320 is an apocalyptic number.

313023403320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313023403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474490897920).

313023403320 is an abundant number, since it is smaller than the sum of its proper divisors (635958392520).

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

313023403320 is a wasteful number, since it uses less digits than its factorization.

313023403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61685 (or 61681 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 313023403320 its reverse (23304320313), we get a palindrome (336327723633).

The spelling of 313023403320 in words is "three hundred thirteen billion, twenty-three million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 311 411 548 622 685 822 933 1096 1244 1370 1555 1644 1866 2055 2488 2740 3110 3288 3732 4110 4665 5480 6220 7464 8220 9330 12440 16440 18660 37320 42607 61223 85214 122446 127821 170428 183669 213035 244892 255642 306115 340856 367338 426070 489784 511284 612230 639105 734676 852140 918345 1022568 1224460 1278210 1469352 1704280 1836690 2448920 2556420 3673380 5112840 7346760 8387551 16775102 19040353 25162653 33550204 38080706 41937755 50325306 57121059 67100408 76161412 83875510 95201765 100650612 114242118 125813265 152322824 167751020 190403530 201301224 228484236 251626530 285605295 335502040 380807060 456968472 503253060 571210590 761614120 1006506120 1142421180 2284842360 2608528361 5217056722 7825585083 10434113444 13042641805 15651170166 20868226888 26085283610 31302340332 39127925415 52170567220 62604680664 78255850830 104341134440 156511701660 313023403320