Search a number
-
+
14301132010100 = 2252132846220829
BaseRepresentation
bin1101000000011011110111…
…1001001011001001110100
31212122011201110221001102122
43100012331321023021310
53333302204243310400
650225503243055112
73004136245246055
oct320067571131164
955564643831378
1014301132010100
11461409220a921
12172b7a4211498
137c978b460400
1437626da8272c
1519c012b67685
hexd01bde4b274

14301132010100 has 54 divisors (see below), whose sum is σ = 33604275380130. Its totient is φ = 5280417966720.

The previous prime is 14301132009979. The next prime is 14301132010117. The reversal of 14301132010100 is 101023110341.

14301132010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 4947982052836 + 9353149957264 = 2224406^2 + 3058292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423093515 + ... + 423127314.

Almost surely, 214301132010100 is an apocalyptic number.

14301132010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301132010100 is an abundant number, since it is smaller than the sum of its proper divisors (19303143370030).

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

14301132010100 is a wasteful number, since it uses less digits than its factorization.

14301132010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846220869 (or 846220849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 14301132010100 its reverse (101023110341), we get a palindrome (14402155120441).

The spelling of 14301132010100 in words is "fourteen trillion, three hundred one billion, one hundred thirty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 846220829 1692441658 3384883316 4231104145 8462208290 11000870777 16924416580 21155520725 22001741554 42311041450 44003483108 55004353885 84622082900 110008707770 143011320101 220017415540 275021769425 286022640202 550043538850 572045280404 715056600505 1100087077700 1430113201010 2860226402020 3575283002525 7150566005050 14301132010100