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330100001010 = 232513563501131
BaseRepresentation
bin1001100110110110111…
…11100100100011110010
31011120001020101111201100
410303123133210203302
520402021100013020
6411351300345230
732564120466333
oct4633337444362
91146036344640
10330100001010
11117aa393259a
1253b859a5216
1325188b37ab0
1411d9697c28a
1588bee8ca90
hex4cdb7e48f2

330100001010 has 96 divisors (see below), whose sum is σ = 925923555648. Its totient is φ = 81110897280.

The previous prime is 330100001009. The next prime is 330100001027. The reversal of 330100001010 is 10100001033.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 330100000983 and 330100001001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408145 + ... + 909275.

It is an arithmetic number, because the mean of its divisors is an integer number (9645037038).

Almost surely, 2330100001010 is an apocalyptic number.

330100001010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462961777824).

330100001010 is an abundant number, since it is smaller than the sum of its proper divisors (595823554638).

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

330100001010 is a wasteful number, since it uses less digits than its factorization.

330100001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501720 (or 501717 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 330100001010 its reverse (10100001033), we get a palindrome (340200002043).

The spelling of 330100001010 in words is "three hundred thirty billion, one hundred million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 563 585 1126 1170 1689 2815 3378 5067 5630 7319 8445 10134 14638 16890 21957 25335 36595 43914 50670 65871 73190 109785 131742 219570 329355 501131 658710 1002262 1503393 2505655 3006786 4510179 5011310 6514703 7516965 9020358 13029406 15033930 19544109 22550895 32573515 39088218 45101790 58632327 65147030 97720545 117264654 195441090 282136753 293161635 564273506 586323270 846410259 1410683765 1692820518 2539230777 2821367530 3667777789 4232051295 5078461554 7335555578 8464102590 11003333367 12696153885 18338888945 22006666734 25392307770 33010000101 36677777890 55016666835 66020000202 110033333670 165050000505 330100001010