Search a number
-
+
30913281235980 = 2232511133673272431
BaseRepresentation
bin1110000011101100011110…
…01001011001110000001100
311001110021120201110112102100
413001312033021121300030
513022440344444022410
6145425210525355100
76340260632663313
oct701661711316014
9131407521415370
1030913281235980
119939281394030
12357324b408a90
131433157628170
1478c2d45c927a
153891d32ab8c0
hex1c1d8f259c0c

30913281235980 has 288 divisors, whose sum is σ = 110463900438528. Its totient is φ = 6898806028800.

The previous prime is 30913281235979. The next prime is 30913281236041. The reversal of 30913281235980 is 8953218231903.

30913281235980 is a `hidden beast` number, since 3 + 0 + 9 + 1 + 3 + 28 + 1 + 23 + 598 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7810365 + ... + 11082795.

It is an arithmetic number, because the mean of its divisors is an integer number (383555209856).

Almost surely, 230913281235980 is an apocalyptic number.

30913281235980 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 30913281235980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55231950219264).

30913281235980 is an abundant number, since it is smaller than the sum of its proper divisors (79550619202548).

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

30913281235980 is a wasteful number, since it uses less digits than its factorization.

30913281235980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272837 (or 3272832 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 30913281235980 in words is "thirty trillion, nine hundred thirteen billion, two hundred eighty-one million, two hundred thirty-five thousand, nine hundred eighty".