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31134650000 = 24551736629
BaseRepresentation
bin11100111111110001…
…010000111010010000
32222100211100002120012
4130333301100322100
51002230432300000
622145243334052
72151355105226
oct347761207220
988324302505
1031134650000
1112227775403
12604ab21328
132c2248842c
141715006b16
15c23556735
hex73fc50e90

31134650000 has 120 divisors (see below), whose sum is σ = 79836843240. Its totient is φ = 11720960000.

The previous prime is 31134649969. The next prime is 31134650059. The reversal of 31134650000 is 5643113.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25050025984 + 6084624016 = 158272^2 + 78004^2 .

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, 831686 + ... + 868314.

It is an arithmetic number, because the mean of its divisors is an integer number (665307027).

Almost surely, 231134650000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39918421620).

31134650000 is an abundant number, since it is smaller than the sum of its proper divisors (48702193240).

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

31134650000 is an equidigital number, since it uses as much as digits as its factorization.

31134650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36679 (or 36653 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The spelling of 31134650000 in words is "thirty-one billion, one hundred thirty-four million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3125 3400 4250 5000 6250 6800 8500 10000 10625 12500 17000 21250 25000 34000 36629 42500 50000 53125 73258 85000 106250 146516 170000 183145 212500 293032 366290 425000 586064 622693 732580 850000 915725 1245386 1465160 1831450 2490772 2930320 3113465 3662900 4578625 4981544 6226930 7325800 9157250 9963088 12453860 14651600 15567325 18314500 22893125 24907720 31134650 36629000 45786250 49815440 62269300 73258000 77836625 91572500 114465625 124538600 155673250 183145000 228931250 249077200 311346500 366290000 389183125 457862500 622693000 778366250 915725000 1245386000 1556732500 1831450000 1945915625 3113465000 3891831250 6226930000 7783662500 15567325000 31134650000