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31130100300 = 223521312762851
BaseRepresentation
bin11100111111011111…
…111010001001001100
32222100111202221112210
4130333133322021030
51002223301202200
622145002030420
72151301325625
oct347737721114
988314687483
1031130100300
1112225148122
1260494a8410
132c215545c0
141714580a4c
15c22e58650
hex73f7fa24c

31130100300 has 144 divisors (see below), whose sum is σ = 97763520512. Its totient is φ = 7602336000.

The previous prime is 31130100277. The next prime is 31130100301. The reversal of 31130100300 is 300103113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31130100301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463875 + ... + 526725.

Almost surely, 231130100300 is an apocalyptic number.

31130100300 is a gapful number since it is divisible by the number (30) 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 31130100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881760256).

31130100300 is an abundant number, since it is smaller than the sum of its proper divisors (66633420212).

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

31130100300 is a wasteful number, since it uses less digits than its factorization.

31130100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63008 (or 63001 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 31130100300 its reverse (300103113), we get a palindrome (31430203413).

The spelling of 31130100300 in words is "thirty-one billion, one hundred thirty million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 127 130 150 156 195 254 260 300 325 381 390 508 635 650 762 780 975 1270 1300 1524 1651 1905 1950 2540 3175 3302 3810 3900 4953 6350 6604 7620 8255 9525 9906 12700 16510 19050 19812 24765 33020 38100 41275 49530 62851 82550 99060 123825 125702 165100 188553 247650 251404 314255 377106 495300 628510 754212 817063 942765 1257020 1571275 1634126 1885530 2451189 3142550 3268252 3771060 4085315 4713825 4902378 6285100 7982077 8170630 9427650 9804756 12255945 15964154 16341260 18855300 20426575 23946231 24511890 31928308 39910385 40853150 47892462 49023780 61279725 79820770 81706300 95784924 103767001 119731155 122559450 159641540 199551925 207534002 239462310 245118900 311301003 399103850 415068004 478924620 518835005 598655775 622602006 798207700 1037670010 1197311550 1245204012 1556505015 2075340020 2394623100 2594175025 3113010030 5188350050 6226020060 7782525075 10376700100 15565050150 31130100300