Search a number
-
+
10511430102 = 23530770451
BaseRepresentation
bin10011100101000011…
…11011000111010110
31000010120002222100000
421302201323013112
5133011411230402
64455012232130
7521324452545
oct116241730726
930116088300
1010511430102
114504479018
12205430b646
13cb6945034
1471a05215c
15417c32c1c
hex27287b1d6

10511430102 has 48 divisors (see below), whose sum is σ = 23695543872. Its totient is φ = 3492347400.

The previous prime is 10511430101. The next prime is 10511430113. The reversal of 10511430102 is 20103411501.

10511430102 is a `hidden beast` number, since 10 + 511 + 43 + 0 + 102 = 666.

It is a super-2 number, since 2×105114301022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511430101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113977 + ... + 184427.

It is an arithmetic number, because the mean of its divisors is an integer number (493657164).

Almost surely, 210511430102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10511430102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847771936).

10511430102 is an abundant number, since it is smaller than the sum of its proper divisors (13184113770).

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

10511430102 is an equidigital number, since it uses as much as digits as its factorization.

10511430102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70775 (or 70763 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10511430102 its reverse (20103411501), we get a palindrome (30614841603).

The spelling of 10511430102 in words is "ten billion, five hundred eleven million, four hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 307 486 614 921 1842 2763 5526 8289 16578 24867 49734 70451 74601 140902 149202 211353 422706 634059 1268118 1902177 3804354 5706531 11413062 17119593 21628457 34239186 43256914 64885371 129770742 194656113 389312226 583968339 1167936678 1751905017 3503810034 5255715051 10511430102