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1100010330 = 2325173132297
BaseRepresentation
bin100000110010000…
…1101001101011010
32211122212022111100
41001210031031122
54223100312310
6301053012230
736154635126
oct10144151532
92748768440
101100010330
11514a22051
12268484076
13146b855b3
14a6142586
1566888ec0
hex4190d35a

1100010330 has 96 divisors (see below), whose sum is σ = 3039261264. Its totient is φ = 275079168.

The previous prime is 1100010287. The next prime is 1100010403. The reversal of 1100010330 is 330100011.

It can be written as a sum of positive squares in 8 ways, for example, as 247779081 + 852231249 = 15741^2 + 29193^2 .

It is a super-2 number, since 2×11000103302 = 2420045452213417800, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477742 + ... + 480038.

Almost surely, 21100010330 is an apocalyptic number.

1100010330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519630632).

1100010330 is an abundant number, since it is smaller than the sum of its proper divisors (1939250934).

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

1100010330 is a wasteful number, since it uses less digits than its factorization.

1100010330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2637 counting only the distinct ones).

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

The square root of 1100010330 is about 33166.4036337979. The cubic root of 1100010330 is about 1032.2833467958.

Adding to 1100010330 its reverse (330100011), we get a palindrome (1430110341).

The spelling of 1100010330 in words is "one billion, one hundred million, ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 313 510 626 765 939 1530 1565 1878 2297 2817 3130 4594 4695 5321 5634 6891 9390 10642 11485 13782 14085 15963 20673 22970 26605 28170 31926 34455 39049 41346 47889 53210 68910 78098 79815 95778 103365 117147 159630 195245 206730 234294 239445 351441 390490 478890 585735 702882 718961 1171470 1437922 1757205 2156883 3514410 3594805 4313766 6470649 7189610 10784415 12222337 12941298 21568830 24444674 32353245 36667011 61111685 64706490 73334022 110001033 122223370 183335055 220002066 366670110 550005165 1100010330