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10031354220340 = 2251729503983001
BaseRepresentation
bin1001000111111001101101…
…0011100000111100110100
31022111222200022201200021101
42101332123103200330310
52303323203140022330
633200201314455444
72053512210666355
oct221763323407464
938458608650241
1010031354220340
113218300a38912
121160188294584
13579c4cc6091b
1426973d36dd2c
15125e128bc4ca
hex91f9b4e0f34

10031354220340 has 24 divisors (see below), whose sum is σ = 22305011149512. Its totient is φ = 3776509824000.

The previous prime is 10031354220331. The next prime is 10031354220359. The reversal of 10031354220340 is 4302245313001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4763585614096 + 5267768606244 = 2182564^2 + 2295162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10031354220299 and 10031354220308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14751991161 + ... + 14751991840.

It is an arithmetic number, because the mean of its divisors is an integer number (929375464563).

Almost surely, 210031354220340 is an apocalyptic number.

10031354220340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031354220340 is an abundant number, since it is smaller than the sum of its proper divisors (12273656929172).

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

10031354220340 is a wasteful number, since it uses less digits than its factorization.

10031354220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503983027 (or 29503983025 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 10031354220340 its reverse (4302245313001), we get a palindrome (14333599533341).

The spelling of 10031354220340 in words is "ten trillion, thirty-one billion, three hundred fifty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 29503983001 59007966002 118015932004 147519915005 295039830010 501567711017 590079660020 1003135422034 2006270844068 2507838555085 5015677110170 10031354220340