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31144134300 = 22352176106693
BaseRepresentation
bin11101000000010101…
…011100011010011100
32222101111011221120120
4131000111130122130
51002240344244200
622150222514540
72151531526236
oct350025343234
988344157516
1031144134300
1112232063074
126052135a50
132c24429346
141716395256
15c242cb9a0
hex74055c69c

31144134300 has 72 divisors (see below), whose sum is σ = 95410987056. Its totient is φ = 7816565760.

The previous prime is 31144134269. The next prime is 31144134311. The reversal of 31144134300 is 343144113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3048247 + ... + 3058446.

It is an arithmetic number, because the mean of its divisors is an integer number (1325152598).

Almost surely, 231144134300 is an apocalyptic number.

31144134300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144134300 is an abundant number, since it is smaller than the sum of its proper divisors (64266852756).

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

31144134300 is a wasteful number, since it uses less digits than its factorization.

31144134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106727 (or 6106720 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31144134300 its reverse (343144113), we get a palindrome (31487278413).

The spelling of 31144134300 in words is "thirty-one billion, one hundred forty-four million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 6106693 12213386 18320079 24426772 30533465 36640158 61066930 73280316 91600395 103813781 122133860 152667325 183200790 207627562 305334650 311441343 366401580 415255124 458001975 519068905 610669300 622882686 916003950 1038137810 1245765372 1557206715 1832007900 2076275620 2595344525 3114413430 5190689050 6228826860 7786033575 10381378100 15572067150 31144134300