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30141313100 = 22521973217313
BaseRepresentation
bin11100000100100011…
…111111000001001100
32212210121012100111122
4130010203333001030
5443212134004400
621502520540112
72114633635253
oct340443770114
985717170448
1030141313100
1111867a92718
125a12321638
132ac4742012
14165d11179a
15bb623e685
hex7048ff04c

30141313100 has 72 divisors (see below), whose sum is σ = 69792564240. Its totient is φ = 11265454080.

The previous prime is 30141313087. The next prime is 30141313121. The reversal of 30141313100 is 131314103.

It is a super-2 number, since 2×301413131002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30044 + ... + 247356.

It is an arithmetic number, because the mean of its divisors is an integer number (969341170).

Almost surely, 230141313100 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 30141313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34896282120).

30141313100 is an abundant number, since it is smaller than the sum of its proper divisors (39651251140).

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

30141313100 is a wasteful number, since it uses less digits than its factorization.

30141313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217419 (or 217412 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 30141313100 its reverse (131314103), we get a palindrome (30272627203).

The spelling of 30141313100 in words is "thirty billion, one hundred forty-one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 146 190 292 365 380 475 730 950 1387 1460 1825 1900 2774 3650 5548 6935 7300 13870 27740 34675 69350 138700 217313 434626 869252 1086565 2173130 4128947 4346260 5432825 8257894 10865650 15863849 16515788 20644735 21731300 31727698 41289470 63455396 79319245 82578940 103223675 158638490 206447350 301413131 317276980 396596225 412894700 602826262 793192450 1205652524 1507065655 1586384900 3014131310 6028262620 7535328275 15070656550 30141313100