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31101312300 = 22352677153133
BaseRepresentation
bin11100111101110010…
…000101110100101100
32222021111121100211120
4130331302011310230
51002143413443200
622142053020540
72150501535612
oct347562056454
988244540746
1031101312300
111220a975293
12603b924750
132c185b5196
1417108096b2
15c2066d9a0
hex73dc85d2c

31101312300 has 72 divisors (see below), whose sum is σ = 90119971536. Its totient is φ = 8281378560.

The previous prime is 31101312299. The next prime is 31101312317. The reversal of 31101312300 is 321310113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31101312300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126534 + ... + 279666.

Almost surely, 231101312300 is an apocalyptic number.

31101312300 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 31101312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45059985768).

31101312300 is an abundant number, since it is smaller than the sum of its proper divisors (59018659236).

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

31101312300 is a wasteful number, since it uses less digits than its factorization.

31101312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153827 (or 153820 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31101312300 its reverse (321310113), we get a palindrome (31422622413).

The spelling of 31101312300 in words is "thirty-one billion, one hundred one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 677 1354 2031 2708 3385 4062 6770 8124 10155 13540 16925 20310 33850 40620 50775 67700 101550 153133 203100 306266 459399 612532 765665 918798 1531330 1837596 2296995 3062660 3828325 4593990 7656650 9187980 11484975 15313300 22969950 45939900 103671041 207342082 311013123 414684164 518355205 622026246 1036710410 1244052492 1555065615 2073420820 2591776025 3110131230 5183552050 6220262460 7775328075 10367104100 15550656150 31101312300