Search a number
-
+
1103301203310 = 23553971143661
BaseRepresentation
bin10000000011100001111…
…000000101010101101110
310220110210221212021100000
4100003201320011111232
5121034030102001220
62202503301445130
7142465555330665
oct20034170052556
93813727767300
101103301203310
113959a8847999
121599b14107a6
138006b9bc207
143b585ab7ddc
151da756e0390
hex100e1e0556e

1103301203310 has 96 divisors (see below), whose sum is σ = 2982322822752. Its totient is φ = 293472305280.

The previous prime is 1103301203299. The next prime is 1103301203321. The reversal of 1103301203310 is 133021033011.

It is a happy number.

1103301203310 is a `hidden beast` number, since 1 + 1 + 0 + 330 + 1 + 2 + 0 + 331 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1103301203299) and next prime (1103301203321).

It is a super-2 number, since 2×11033012033102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 392880 + ... + 1536540.

It is an arithmetic number, because the mean of its divisors is an integer number (31065862737).

Almost surely, 21103301203310 is an apocalyptic number.

1103301203310 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 1103301203310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491161411376).

1103301203310 is an abundant number, since it is smaller than the sum of its proper divisors (1879021619442).

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

1103301203310 is a wasteful number, since it uses less digits than its factorization.

1103301203310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144080 (or 1144068 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1103301203310 its reverse (133021033011), we get a palindrome (1236322236321).

The spelling of 1103301203310 in words is "one trillion, one hundred three billion, three hundred one million, two hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 397 405 486 794 810 1191 1215 1985 2382 2430 3573 3970 5955 7146 10719 11910 17865 21438 32157 35730 53595 64314 96471 107190 160785 192942 321570 482355 964710 1143661 2287322 3430983 5718305 6861966 10292949 11436610 17154915 20585898 30878847 34309830 51464745 61757694 92636541 102929490 154394235 185273082 277909623 308788470 454033417 463182705 555819246 908066834 926365410 1362100251 1389548115 2270167085 2724200502 2779096230 4086300753 4540334170 6810501255 8172601506 12258902259 13621002510 20431503765 24517804518 36776706777 40863007530 61294511295 73553413554 110330120331 122589022590 183883533885 220660240662 367767067770 551650601655 1103301203310