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30121241024 = 267557120709
BaseRepresentation
bin11100000011010111…
…011010100111000000
32212202012102120210102
4130003113122213000
5443142014203044
621500522421532
72114301216140
oct340327324700
985665376712
1030121241024
1111857723226
125a076618a8
132ac0534b54
14165a5a8920
15bb45c724e
hex7035da9c0

30121241024 has 56 divisors (see below), whose sum is σ = 68433878880. Its totient is φ = 12885820416.

The previous prime is 30121241023. The next prime is 30121241041. The reversal of 30121241024 is 42014212103.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 30121240987 and 30121241005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121241023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189182 + ... + 309890.

Almost surely, 230121241024 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 30121241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34216939440).

30121241024 is an abundant number, since it is smaller than the sum of its proper divisors (38312637856).

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

30121241024 is a wasteful number, since it uses less digits than its factorization.

30121241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121285 (or 121275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30121241024 its reverse (42014212103), we get a palindrome (72135453127).

The spelling of 30121241024 in words is "thirty billion, one hundred twenty-one million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 557 1114 2228 3899 4456 7798 8912 15596 17824 31192 35648 62384 120709 124768 241418 249536 482836 844963 965672 1689926 1931344 3379852 3862688 6759704 7725376 13519408 27038816 54077632 67234913 134469826 268939652 470644391 537879304 941288782 1075758608 1882577564 2151517216 3765155128 4303034432 7530310256 15060620512 30121241024