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30031121100 = 22352295935821
BaseRepresentation
bin11011111101111111…
…101000101011001100
32212111220212000111110
4123331333220223030
5443000431333400
621443543052020
72112125213631
oct337577505314
985456760443
1030031121100
111181086a852
1259a1441010
132aa7970456
14164c62a188
15bab724e50
hex6fdfe8acc

30031121100 has 144 divisors (see below), whose sum is σ = 90053298720. Its totient is φ = 7717785600.

The previous prime is 30031121089. The next prime is 30031121173. The reversal of 30031121100 is 112113003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5156190 + ... + 5162010.

It is an arithmetic number, because the mean of its divisors is an integer number (625370130).

Almost surely, 230031121100 is an apocalyptic number.

30031121100 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 30031121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45026649360).

30031121100 is an abundant number, since it is smaller than the sum of its proper divisors (60022177620).

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

30031121100 is a wasteful number, since it uses less digits than its factorization.

30031121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30031121100 its reverse (112113003), we get a palindrome (30143234103).

The spelling of 30031121100 in words is "thirty billion, thirty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 593 725 870 1186 1450 1740 1779 2175 2372 2900 2965 3558 4350 5821 5930 7116 8700 8895 11642 11860 14825 17197 17463 17790 23284 29105 29650 34394 34926 35580 44475 51591 58210 59300 68788 69852 85985 87315 88950 103182 116420 145525 168809 171970 174630 177900 206364 257955 291050 337618 343940 349260 429925 436575 506427 515910 582100 675236 844045 859850 873150 1012854 1031820 1289775 1688090 1719700 1746300 2025708 2532135 2579550 3376180 3451853 4220225 5064270 5159100 6903706 8440450 10128540 10355559 12660675 13807412 16880900 17259265 20711118 25321350 34518530 41422236 50642700 51777795 69037060 86296325 100103737 103555590 172592650 200207474 207111180 258888975 300311211 345185300 400414948 500518685 517777950 600622422 1001037370 1035555900 1201244844 1501556055 2002074740 2502593425 3003112110 5005186850 6006224220 7507780275 10010373700 15015560550 30031121100