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34302030100 = 22521331227457
BaseRepresentation
bin11111111100100011…
…110111000100010100
310021112120022200020021
4133330203313010110
51030222304430400
623431431314524
72323015305442
oct377443670424
9107476280207
1034302030100
1113602668a08
12679381ba44
133308745640
14193593db92
15d5b65e71a
hex7fc8f7114

34302030100 has 108 divisors (see below), whose sum is σ = 82833482172. Its totient is φ = 12256358400.

The previous prime is 34302030097. The next prime is 34302030107. The reversal of 34302030100 is 103020343.

It can be written as a sum of positive squares in 6 ways, for example, as 11678260356 + 22623769744 = 108066^2 + 150412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34302030107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1235572 + ... + 1263028.

Almost surely, 234302030100 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 34302030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41416741086).

34302030100 is an abundant number, since it is smaller than the sum of its proper divisors (48531452072).

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

34302030100 is a wasteful number, since it uses less digits than its factorization.

34302030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27546 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 34302030100 its reverse (103020343), we get a palindrome (34405050443).

The spelling of 34302030100 in words is "thirty-four billion, three hundred two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 961 1300 1550 1612 1922 2015 3100 3844 4030 4805 8060 9610 10075 12493 19220 20150 24025 24986 27457 40300 48050 49972 54914 62465 96100 109828 124930 137285 249860 274570 312325 356941 549140 624650 686425 713882 851167 1249300 1372850 1427764 1702334 1784705 2745700 3404668 3569410 4255835 7138820 8511670 8923525 11065171 17023340 17847050 21279175 22130342 26386177 35694100 42558350 44260684 52772354 55325855 85116700 105544708 110651710 131930885 221303420 263861770 276629275 343020301 527723540 553258550 659654425 686040602 1106517100 1319308850 1372081204 1715101505 2638617700 3430203010 6860406020 8575507525 17151015050 34302030100