Search a number
-
+
310230553120 = 25529288723159
BaseRepresentation
bin1001000001110110010…
…11101001001000100000
31002122202111111222021221
410200323023221020200
520040323010144440
6354303513224424
731261542122665
oct4407313511040
91078674458257
10310230553120
1110a628072284
125015b702114
1323340510037
141102db5ba6c
15810a90dd4a
hex483b2e9220

310230553120 has 96 divisors (see below), whose sum is σ = 758488147200. Its totient is φ = 119766506496.

The previous prime is 310230553111. The next prime is 310230553123. The reversal of 310230553120 is 21355032013.

It is a super-2 number, since 2×3102305531202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (310230553123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13384101 + ... + 13407259.

It is an arithmetic number, because the mean of its divisors is an integer number (7900918200).

Almost surely, 2310230553120 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 310230553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379244073600).

310230553120 is an abundant number, since it is smaller than the sum of its proper divisors (448257594080).

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

310230553120 is a wasteful number, since it uses less digits than its factorization.

310230553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26090 (or 26082 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 310230553120 its reverse (21355032013), we get a palindrome (331585585133).

The spelling of 310230553120 in words is "three hundred ten billion, two hundred thirty million, five hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 2887 4640 5774 11548 14435 23096 23159 28870 46192 46318 57740 83723 92384 92636 115480 115795 167446 185272 230960 231590 334892 370544 418615 461920 463180 669784 671611 741088 837230 926360 1339568 1343222 1674460 1852720 2679136 2686444 3348920 3358055 3705440 5372888 6697840 6716110 10745776 13395680 13432220 21491552 26864440 53728880 66860033 107457760 133720066 267440132 334300165 534880264 668600330 1069760528 1337200660 1938940957 2139521056 2674401320 3877881914 5348802640 7755763828 9694704785 10697605280 15511527656 19389409570 31023055312 38778819140 62046110624 77557638280 155115276560 310230553120