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1101330331304 = 237232929485177
BaseRepresentation
bin10000000001101100011…
…001110011011010101000
310220021201121022121012112
4100001230121303122220
5121021011031100204
62201535535101452
7142365664233320
oct20015431633250
93807647277175
101101330331304
11395087295655
12159541371888
137cb165a2c68
143b43a042280
151d9ac68326e
hex1006c6736a8

1101330331304 has 64 divisors (see below), whose sum is σ = 2547519379200. Its totient is φ = 435908841984.

The previous prime is 1101330331259. The next prime is 1101330331307. The reversal of 1101330331304 is 4031330331011.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1101330331304.

It is not an unprimeable number, because it can be changed into a prime (1101330331307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14705237 + ... + 14779940.

It is an arithmetic number, because the mean of its divisors is an integer number (39804990300).

Almost surely, 21101330331304 is an apocalyptic number.

1101330331304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1101330331304 is an abundant number, since it is smaller than the sum of its proper divisors (1446189047896).

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

1101330331304 is a wasteful number, since it uses less digits than its factorization.

1101330331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29485242 (or 29485238 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1101330331304 its reverse (4031330331011), we get a palindrome (5132660662315).

The spelling of 1101330331304 in words is "one trillion, one hundred one billion, three hundred thirty million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 2668 4669 5336 9338 18676 37352 29485177 58970354 117940708 206396239 235881416 412792478 678159071 825584956 855070133 1356318142 1651169912 1710140266 2712636284 3420280532 4747113497 5425272568 5985490931 6840561064 9494226994 11970981862 18988453988 19666613059 23941963724 37976907976 39333226118 47883927448 78666452236 137666291413 157332904472 275332582826 550665165652 1101330331304