Search a number
-
+
330102434112 = 26311236795587
BaseRepresentation
bin1001100110110111010…
…00110110100101000000
31011120001101222010022020
410303123220312211000
520402022210342422
6411351424441440
732564150252043
oct4633350664500
91146041863266
10330102434112
11117aa5244620
1253b86779280
13251894aa3b9
1411d97012c5a
1588c02bd95c
hex4cdba36940

330102434112 has 112 divisors (see below), whose sum is σ = 994221706752. Its totient is φ = 95681850880.

The previous prime is 330102434071. The next prime is 330102434113. The reversal of 330102434112 is 211434201033.

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 not an unprimeable number, because it can be changed into a prime (330102434113) 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, 3349218 + ... + 3446369.

Almost surely, 2330102434112 is an apocalyptic number.

330102434112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330102434112 is an abundant number, since it is smaller than the sum of its proper divisors (664119272640).

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

330102434112 is a wasteful number, since it uses less digits than its factorization.

330102434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795636 (or 6795626 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330102434112 its reverse (211434201033), we get a palindrome (541536635145).

The spelling of 330102434112 in words is "three hundred thirty billion, one hundred two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 6795587 13591174 20386761 27182348 40773522 54364696 74751457 81547044 108729392 149502914 156298501 163094088 217458784 224254371 299005828 312597002 326188176 434917568 448508742 468895503 598011656 625194004 652376352 897017484 937791006 1196023312 1250388008 1304752704 1719283511 1794034968 1875582012 2392046624 2500776016 3438567022 3588069936 3751164024 4784093248 5001552032 5157850533 6877134044 7176139872 7502328048 10003104064 10315701066 13754268088 14352279744 15004656096 20631402132 27508536176 30009312192 41262804264 55017072352 82525608528 110034144704 165051217056 330102434112