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101113322130 = 23253779384359
BaseRepresentation
bin101111000101011010…
…0101101101010010010
3100122222202112222002200
41132022310231222102
53124040002302010
6114241213224030
710206453025422
oct1361264555222
9318882488080
10101113322130
113997791a537
121771a792016
1396c5376132
144c72c6a482
15296bd52cc0
hex178ad2da92

101113322130 has 96 divisors (see below), whose sum is σ = 273418329600. Its totient is φ = 25902654336.

The previous prime is 101113322083. The next prime is 101113322213. The reversal of 101113322130 is 31223311101.

101113322130 is a `hidden beast` number, since 10 + 111 + 332 + 213 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70891 + ... + 455249.

It is an arithmetic number, because the mean of its divisors is an integer number (2848107600).

Almost surely, 2101113322130 is an apocalyptic number.

101113322130 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 101113322130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136709164800).

101113322130 is an abundant number, since it is smaller than the sum of its proper divisors (172305007470).

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

101113322130 is a wasteful number, since it uses less digits than its factorization.

101113322130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384488 (or 384485 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101113322130 its reverse (31223311101), we get a palindrome (132336633231).

The spelling of 101113322130 in words is "one hundred one billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 79 90 111 158 185 222 237 333 370 395 474 555 666 711 790 1110 1185 1422 1665 2370 2923 3330 3555 5846 7110 8769 14615 17538 26307 29230 43845 52614 87690 131535 263070 384359 768718 1153077 1921795 2306154 3459231 3843590 5765385 6918462 11530770 14221283 17296155 28442566 30364361 34592310 42663849 60728722 71106415 85327698 91093083 127991547 142212830 151821805 182186166 213319245 255983094 273279249 303643610 426638490 455465415 546558498 639957735 910930830 1123481357 1279915470 1366396245 2246962714 2732792490 3370444071 5617406785 6740888142 10111332213 11234813570 16852220355 20222664426 33704440710 50556661065 101113322130