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30141121300 = 22523741198689
BaseRepresentation
bin11100000100100011…
…010000001100010100
32212210120211121101221
4130010203100030110
5443212111340200
621502512500124
72114632206133
oct340443201424
985716747357
1030141121300
1111867971604
125a1224a644
132ac46a5924
14165d0a191a
15bb620291a
hex7048d0314

30141121300 has 72 divisors (see below), whose sum is σ = 68812705080. Its totient is φ = 11444428800.

The previous prime is 30141121289. The next prime is 30141121301. The reversal of 30141121300 is 312114103.

It can be written as a sum of positive squares in 12 ways, for example, as 13897108996 + 16244012304 = 117886^2 + 127452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30141121301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52356 + ... + 251044.

It is an arithmetic number, because the mean of its divisors is an integer number (955732015).

Almost surely, 230141121300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30141121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34406352540).

30141121300 is an abundant number, since it is smaller than the sum of its proper divisors (38671583780).

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

30141121300 is a wasteful number, since it uses less digits than its factorization.

30141121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198781 (or 198774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 30141121300 its reverse (312114103), we get a palindrome (30453235403).

The spelling of 30141121300 in words is "thirty billion, one hundred forty-one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 370 410 740 820 925 1025 1517 1850 2050 3034 3700 4100 6068 7585 15170 30340 37925 75850 151700 198689 397378 794756 993445 1986890 3973780 4967225 7351493 8146249 9934450 14702986 16292498 19868900 29405972 32584996 36757465 40731245 73514930 81462490 147029860 162924980 183787325 203656225 301411213 367574650 407312450 602822426 735149300 814624900 1205644852 1507056065 3014112130 6028224260 7535280325 15070560650 30141121300