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310013400200 = 23527221438143
BaseRepresentation
bin1001000001011100011…
…11010001010010001000
31002122012100220110111012
410200232033101102020
520034401412301300
6354230155023052
731253264265050
oct4405617212210
91078170813435
10310013400200
1110a526534059
12500baa3aa88
132330752b49a
141100cd92560
1580e6817435
hex482e3d1488

310013400200 has 48 divisors (see below), whose sum is σ = 823749895680. Its totient is φ = 106290308160.

The previous prime is 310013400199. The next prime is 310013400251. The reversal of 310013400200 is 2004310013.

It is a super-3 number, since 3×3100134002003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110717672 + ... + 110720471.

It is an arithmetic number, because the mean of its divisors is an integer number (17161456160).

Almost surely, 2310013400200 is an apocalyptic number.

It is an amenable number.

310013400200 is an abundant number, since it is smaller than the sum of its proper divisors (513736495480).

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

310013400200 is a wasteful number, since it uses less digits than its factorization.

310013400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221438166 (or 221438157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 310013400200 its reverse (2004310013), we get a palindrome (312017710213).

The spelling of 310013400200 in words is "three hundred ten billion, thirteen million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 221438143 442876286 885752572 1107190715 1550067001 1771505144 2214381430 3100134002 4428762860 5535953575 6200268004 7750335005 8857525720 11071907150 12400536008 15500670010 22143814300 31001340020 38751675025 44287628600 62002680040 77503350050 155006700100 310013400200