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101304430000 = 245497110433
BaseRepresentation
bin101111001011000110…
…1101110110110110000
3100200111002011020210221
41132112031232312300
53124432413230000
6114312201302424
710214263306264
oct1362615566660
9320432136727
10101304430000
1139a65789724
1217772794a14
139725b38c07
144c903b60a4
15297da0261a
hex179636edb0

101304430000 has 100 divisors (see below), whose sum is σ = 245544281928. Its totient is φ = 40476160000.

The previous prime is 101304429997. The next prime is 101304430001. The reversal of 101304430000 is 34403101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101304430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9704784 + ... + 9715216.

Almost surely, 2101304430000 is an apocalyptic number.

101304430000 is a gapful number since it is divisible by the number (10) 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 101304430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122772140964).

101304430000 is an abundant number, since it is smaller than the sum of its proper divisors (144239851928).

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

101304430000 is an equidigital number, since it uses as much as digits as its factorization.

101304430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101304430000 its reverse (34403101), we get a palindrome (101338833101).

The spelling of 101304430000 in words is "one hundred one billion, three hundred four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 971 1000 1250 1942 2000 2500 3884 4855 5000 7768 9710 10000 10433 15536 19420 20866 24275 38840 41732 48550 52165 77680 83464 97100 104330 121375 166928 194200 208660 242750 260825 388400 417320 485500 521650 606875 834640 971000 1043300 1213750 1304125 1942000 2086600 2427500 2608250 4173200 4855000 5216500 6520625 9710000 10130443 10433000 13041250 20260886 20866000 26082500 40521772 50652215 52165000 81043544 101304430 104330000 162087088 202608860 253261075 405217720 506522150 810435440 1013044300 1266305375 2026088600 2532610750 4052177200 5065221500 6331526875 10130443000 12663053750 20260886000 25326107500 50652215000 101304430000