Search a number
-
+
105230455320 = 23353779300007
BaseRepresentation
bin110001000000000111…
…0010101001000011000
3101001121200200000002010
41202000032111020120
53211002444032240
6120201525505520
710413465053244
oct1420016251030
9331550600063
10105230455320
114069a937651
12184895722a0
139c00329913
145143991424
152b0d514280
hex1880395218

105230455320 has 128 divisors (see below), whose sum is σ = 328328755200. Its totient is φ = 26957339136.

The previous prime is 105230455261. The next prime is 105230455321. The reversal of 105230455320 is 23554032501.

It is a super-2 number, since 2×1052304553202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105230455321) 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, 200757 + ... + 500763.

It is an arithmetic number, because the mean of its divisors is an integer number (2565068400).

Almost surely, 2105230455320 is an apocalyptic number.

105230455320 is a gapful number since it is divisible by the number (10) 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 105230455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164164377600).

105230455320 is an abundant number, since it is smaller than the sum of its proper divisors (223098299880).

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

105230455320 is a wasteful number, since it uses less digits than its factorization.

105230455320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300137 (or 300133 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 105230455320 its reverse (23554032501), we get a palindrome (128784487821).

The spelling of 105230455320 in words is "one hundred five billion, two hundred thirty million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 79 111 120 148 158 185 222 237 296 316 370 395 444 474 555 632 740 790 888 948 1110 1185 1480 1580 1896 2220 2370 2923 3160 4440 4740 5846 8769 9480 11692 14615 17538 23384 29230 35076 43845 58460 70152 87690 116920 175380 300007 350760 600014 900021 1200028 1500035 1800042 2400056 3000070 3600084 4500105 6000140 7200168 9000210 11100259 12000280 18000420 22200518 23700553 33300777 36000840 44401036 47401106 55501295 66601554 71101659 88802072 94802212 111002590 118502765 133203108 142203318 166503885 189604424 222005180 237005530 266406216 284406636 333007770 355508295 444010360 474011060 568813272 666015540 711016590 876920461 948022120 1332031080 1422033180 1753840922 2630761383 2844066360 3507681844 4384602305 5261522766 7015363688 8769204610 10523045532 13153806915 17538409220 21046091064 26307613830 35076818440 52615227660 105230455320