Search a number
-
+
1201103310 = 23511732683
BaseRepresentation
bin100011110010111…
…0110000111001110
310002201002100222210
41013211312013032
54424440301220
6315103451250
741523131631
oct10745660716
93081070883
101201103310
11566a9a770
122962b6b26
13161abc724
14b5739c18
15706a76e0
hex479761ce

1201103310 has 96 divisors (see below), whose sum is σ = 3193043328. Its totient is φ = 286767360.

The previous prime is 1201103303. The next prime is 1201103333. The reversal of 1201103310 is 133011021.

It is a super-2 number, since 2×12011033102 = 2885298322585912200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758229 + ... + 1758911.

It is an arithmetic number, because the mean of its divisors is an integer number (33260868).

Almost surely, 21201103310 is an apocalyptic number.

1201103310 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 1201103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596521664).

1201103310 is an abundant number, since it is smaller than the sum of its proper divisors (1991940018).

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

1201103310 is a wasteful number, since it uses less digits than its factorization.

1201103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1201103310 is about 34656.9374007572. The cubic root of 1201103310 is about 1062.9841477063.

Adding to 1201103310 its reverse (133011021), we get a palindrome (1334114331).

The spelling of 1201103310 in words is "one billion, two hundred one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 683 730 803 1095 1366 1606 2049 2190 2409 3415 4015 4098 4818 5329 6830 7513 8030 10245 10658 12045 15026 15987 20490 22539 24090 26645 31974 37565 45078 49859 53290 58619 75130 79935 99718 112695 117238 149577 159870 175857 225390 249295 293095 299154 351714 498590 548449 586190 747885 879285 1096898 1495770 1645347 1758570 2742245 3290694 3639707 5484490 7279414 8226735 10919121 16453470 18198535 21838242 36397070 40036777 54595605 80073554 109191210 120110331 200183885 240220662 400367770 600551655 1201103310