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1100010320 = 24519241929
BaseRepresentation
bin100000110010000…
…1101001101010000
32211122212022110222
41001210031031100
54223100312240
6301053012212
736154635113
oct10144151520
92748768428
101100010320
11514a22042
12268484068
13146b855a6
14a614257a
1566888eb5
hex4190d350

1100010320 has 120 divisors (see below), whose sum is σ = 2768025960. Its totient is φ = 406241280.

The previous prime is 1100010287. The next prime is 1100010403. The reversal of 1100010320 is 230100011.

It can be written as a sum of positive squares in 4 ways, for example, as 85969984 + 1014040336 = 9272^2 + 31844^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1100010298 and 1100010307.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1183616 + ... + 1184544.

It is an arithmetic number, because the mean of its divisors is an integer number (23066883).

Almost surely, 21100010320 is an apocalyptic number.

1100010320 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 1100010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384012980).

1100010320 is an abundant number, since it is smaller than the sum of its proper divisors (1668015640).

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

1100010320 is a wasteful number, since it uses less digits than its factorization.

1100010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1100010320 is about 33166.4034830429. The cubic root of 1100010320 is about 1032.2833436677.

Adding to 1100010320 its reverse (230100011), we get a palindrome (1330110331).

The spelling of 1100010320 in words is "one billion, one hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 41 76 80 82 95 152 164 190 205 304 328 361 380 410 656 722 760 779 820 929 1444 1520 1558 1640 1805 1858 2888 3116 3280 3610 3716 3895 4645 5776 6232 7220 7432 7790 9290 12464 14440 14801 14864 15580 17651 18580 28880 29602 31160 35302 37160 38089 59204 62320 70604 74005 74320 76178 88255 118408 141208 148010 152356 176510 190445 236816 282416 296020 304712 335369 353020 380890 592040 609424 670738 706040 723691 761780 1184080 1341476 1412080 1447382 1523560 1676845 2682952 2894764 3047120 3353690 3618455 5365904 5789528 6707380 7236910 11579056 13414760 13750129 14473820 26829520 27500258 28947640 55000516 57895280 68750645 110001032 137501290 220002064 275002580 550005160 1100010320