Search a number
-
+
30511256124 = 223173373471279
BaseRepresentation
bin11100011010100111…
…001101001000111100
32220202101022101221010
4130122213031020330
5444441340143444
622003334035220
72130045253326
oct343247151074
986671271833
1030511256124
1111a37899358
125ab61a8b10
132b5328b70b
1416962d0616
15bd89672b9
hex71a9cd23c

30511256124 has 96 divisors (see below), whose sum is σ = 75881594880. Its totient is φ = 9508810752.

The previous prime is 30511256123. The next prime is 30511256143. The reversal of 30511256124 is 42165211503.

It is a junction number, because it is equal to n+sod(n) for n = 30511256091 and 30511256100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30511256123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23854917 + ... + 23856195.

It is an arithmetic number, because the mean of its divisors is an integer number (790433280).

Almost surely, 230511256124 is an apocalyptic number.

30511256124 is a gapful number since it is divisible by the number (34) 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 30511256124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37940797440).

30511256124 is an abundant number, since it is smaller than the sum of its proper divisors (45370338756).

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

30511256124 is a wasteful number, since it uses less digits than its factorization.

30511256124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 30511256124 its reverse (42165211503), we get a palindrome (72676467627).

The spelling of 30511256124 in words is "thirty billion, five hundred eleven million, two hundred fifty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 337 347 674 694 1011 1041 1279 1348 1388 2022 2082 2558 3837 4044 4164 5116 5729 5899 7674 11458 11798 15348 17187 17697 21743 22916 23596 34374 35394 43486 65229 68748 70788 86972 116939 130458 233878 260916 350817 431023 443813 467756 701634 862046 887626 1293069 1331439 1403268 1724092 1775252 1987963 2586138 2662878 3975926 5172276 5325756 5963889 7327391 7544821 7951852 11927778 14654782 15089642 21982173 22634463 23855556 29309564 30179284 43964346 45268926 87928692 90537852 149564981 299129962 448694943 598259924 897389886 1794779772 2542604677 5085209354 7627814031 10170418708 15255628062 30511256124