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2201003312 = 2437101131281
BaseRepresentation
bin1000001100110000…
…1010010100110000
312200101120112221012
42003030022110300
514001424101222
61002223050052
7105354135164
oct20314122460
95611515835
102201003312
11a2a455402
12515140928
13290cc3231
1416c45cca4
15cd3691e2
hex8330a530

2201003312 has 80 divisors (see below), whose sum is σ = 4472686944. Its totient is φ = 1048320000.

The previous prime is 2201003309. The next prime is 2201003359. The reversal of 2201003312 is 2133001022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7832612 + ... + 7832892.

Almost surely, 22201003312 is an apocalyptic number.

It is an amenable number.

2201003312 is an abundant number, since it is smaller than the sum of its proper divisors (2271683632).

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

2201003312 is a wasteful number, since it uses less digits than its factorization.

2201003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2201003312 is about 46914.8517209636. The cubic root of 2201003312 is about 1300.7891287740.

Adding to 2201003312 its reverse (2133001022), we get a palindrome (4334004334).

The spelling of 2201003312 in words is "two billion, two hundred one million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 37 74 101 131 148 202 262 281 296 404 524 562 592 808 1048 1124 1616 2096 2248 3737 4496 4847 7474 9694 10397 13231 14948 19388 20794 26462 28381 29896 36811 38776 41588 52924 56762 59792 73622 77552 83176 105848 113524 147244 166352 211696 227048 294488 454096 489547 588976 979094 1050097 1362007 1958188 2100194 2724014 3717911 3916376 4200388 5448028 7435822 7832752 8400776 10896056 14871644 16801552 21792112 29743288 59486576 137562707 275125414 550250828 1100501656 2201003312