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30121331100 = 22352771202021
BaseRepresentation
bin11100000011010111…
…110000100110011100
32212202012121011100120
4130003113300212130
5443142030043400
621500524354540
72114302042560
oct340327604634
985665534316
1030121331100
1111857784973
125a076a5a50
132ac0566b53
14165a5cd6a0
15bb45e3ca0
hex7035f099c

30121331100 has 144 divisors (see below), whose sum is σ = 101004535296. Its totient is φ = 6787872000.

The previous prime is 30121331063. The next prime is 30121331129. The reversal of 30121331100 is 113312103.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30121331100.

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, 48090 + ... + 250110.

It is an arithmetic number, because the mean of its divisors is an integer number (701420384).

Almost surely, 230121331100 is an apocalyptic number.

30121331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50502267648).

30121331100 is an abundant number, since it is smaller than the sum of its proper divisors (70883204196).

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

30121331100 is a wasteful number, since it uses less digits than its factorization.

30121331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202116 (or 202109 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30121331100 its reverse (113312103), we get a palindrome (30234643203).

The spelling of 30121331100 in words is "thirty billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 71 75 84 100 105 140 142 150 175 210 213 284 300 350 355 420 426 497 525 700 710 852 994 1050 1065 1420 1491 1775 1988 2100 2130 2485 2982 3550 4260 4970 5325 5964 7100 7455 9940 10650 12425 14910 21300 24850 29820 37275 49700 74550 149100 202021 404042 606063 808084 1010105 1212126 1414147 2020210 2424252 2828294 3030315 4040420 4242441 5050525 5656588 6060630 7070735 8484882 10101050 12121260 14141470 14343491 15151575 16969764 20202100 21212205 28282940 28686982 30303150 35353675 42424410 43030473 57373964 60606300 70707350 71717455 84848820 86060946 100404437 106061025 141414700 143434910 172121892 200808874 212122050 215152365 286869820 301213311 358587275 401617748 424244100 430304730 502022185 602426622 717174550 860609460 1004044370 1075761825 1204853244 1434349100 1506066555 2008088740 2151523650 2510110925 3012133110 4303047300 5020221850 6024266220 7530332775 10040443700 15060665550 30121331100