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1100102130 = 2325173719433
BaseRepresentation
bin100000110010010…
…0011100111110010
32211200000222102100
41001210203213302
54223111232010
6301055001230
736155466561
oct10144434762
92750028370
101100102130
11514a85016
12268509216
13146bb830a
14a6167bd8
15668a62c0
hex419239f2

1100102130 has 96 divisors (see below), whose sum is σ = 3110528304. Its totient is φ = 268627968.

The previous prime is 1100102117. The next prime is 1100102161. The reversal of 1100102130 is 312010011.

It can be written as a sum of positive squares in 8 ways, for example, as 615089601 + 485012529 = 24801^2 + 22023^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46894 + ... + 66326.

Almost surely, 21100102130 is an apocalyptic number.

1100102130 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 1100102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555264152).

1100102130 is an abundant number, since it is smaller than the sum of its proper divisors (2010426174).

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

1100102130 is a wasteful number, since it uses less digits than its factorization.

1100102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19500 (or 19497 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100102130 is about 33167.7875354990. The cubic root of 1100102130 is about 1032.3120619732.

Adding to 1100102130 its reverse (312010011), we get a palindrome (1412112141).

The spelling of 1100102130 in words is "one billion, one hundred million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 3145 3330 3774 5661 6290 9435 11322 18870 19433 28305 38866 56610 58299 97165 116598 174897 194330 291495 330361 349794 582990 660722 719021 874485 991083 1438042 1651805 1748970 1982166 2157063 2973249 3303610 3595105 4314126 4955415 5946498 6471189 7190210 9910830 10785315 12223357 12942378 14866245 21570630 24446714 29732490 32355945 36670071 61116785 64711890 73340142 110010213 122233570 183350355 220020426 366700710 550051065 1100102130