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30112132120 = 2357389276461
BaseRepresentation
bin11100000010110100…
…101010110000011000
32212201120021210201121
4130002310222300120
5443132201211440
621455555255024
72114130620440
oct340264526030
985646253647
1030112132120
1111852571604
125a045aa474
132abb695a75
1416592b7120
15bb38c834a
hex702d2ac18

30112132120 has 64 divisors (see below), whose sum is σ = 77630529600. Its totient is φ = 10297582080.

The previous prime is 30112132117. The next prime is 30112132129. The reversal of 30112132120 is 2123121103.

It is a junction number, because it is equal to n+sod(n) for n = 30112132094 and 30112132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30112132129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29311 + ... + 247150.

It is an arithmetic number, because the mean of its divisors is an integer number (1212977025).

Almost surely, 230112132120 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 30112132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38815264800).

30112132120 is an abundant number, since it is smaller than the sum of its proper divisors (47518397480).

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

30112132120 is a wasteful number, since it uses less digits than its factorization.

30112132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276868 (or 276864 counting only the distinct ones).

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

Adding to 30112132120 its reverse (2123121103), we get a palindrome (32235253223).

The spelling of 30112132120 in words is "thirty billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 389 778 1556 1945 2723 3112 3890 5446 7780 10892 13615 15560 21784 27230 54460 108920 276461 552922 1105844 1382305 1935227 2211688 2764610 3870454 5529220 7740908 9676135 11058440 15481816 19352270 38704540 77409080 107543329 215086658 430173316 537716645 752803303 860346632 1075433290 1505606606 2150866580 3011213212 3764016515 4301733160 6022426424 7528033030 15056066060 30112132120