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100312121130 = 23513313821759
BaseRepresentation
bin101110101101100010…
…0010111111100101010
3100120220220221201221120
41131123010113330222
53120414400334010
6114025512520110
710150553650434
oct1353304277452
9316826851846
10100312121130
11395a6639351
12175363b0036
1395c83926c0
144bd86ab654
15292183ee70
hex175b117f2a

100312121130 has 64 divisors (see below), whose sum is σ = 260096901120. Its totient is φ = 24613295616.

The previous prime is 100312121123. The next prime is 100312121149. The reversal of 100312121130 is 31121213001.

It is a happy number.

It is a super-3 number, since 3×1003121211303 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288810 + ... + 532949.

It is an arithmetic number, because the mean of its divisors is an integer number (4064014080).

Almost surely, 2100312121130 is an apocalyptic number.

100312121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100312121130 is an abundant number, since it is smaller than the sum of its proper divisors (159784779990).

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

100312121130 is a wasteful number, since it uses less digits than its factorization.

100312121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822095.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100312121130 its reverse (31121213001), we get a palindrome (131433334131).

The spelling of 100312121130 in words is "one hundred billion, three hundred twelve million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 313 390 626 939 1565 1878 3130 4069 4695 8138 9390 12207 20345 24414 40690 61035 122070 821759 1643518 2465277 4108795 4930554 8217590 10682867 12326385 21365734 24652770 32048601 53414335 64097202 106828670 160243005 257210567 320486010 514421134 771631701 1286052835 1543263402 2572105670 3343737371 3858158505 6687474742 7716317010 10031212113 16718686855 20062424226 33437373710 50156060565 100312121130