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10203314400331 = 1337591571228859
BaseRepresentation
bin1001010001111010010011…
…1011100010110001001011
31100010102112112010220211121
42110132210323202301023
52314132341441302311
633411200554140111
72102110433261113
oct224364473426113
940112475126747
1010203314400331
113284223a85248
121189579421637
1359022602c410
14273bb3498043
1512a629361b71
hex947a4ee2c4b

10203314400331 has 32 divisors (see below), whose sum is σ = 11483792006400. Its totient is φ = 9002797695360.

The previous prime is 10203314400283. The next prime is 10203314400337. The reversal of 10203314400331 is 13300441330201.

10203314400331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10203314400331 - 219 = 10203313876043 is a prime.

It is a super-2 number, since 2×102033144003312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10203314400296 and 10203314400305.

It is not an unprimeable number, because it can be changed into a prime (10203314400337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44468980 + ... + 44697838.

It is an arithmetic number, because the mean of its divisors is an integer number (358868500200).

Almost surely, 210203314400331 is an apocalyptic number.

10203314400331 is a deficient number, since it is larger than the sum of its proper divisors (1280477606069).

10203314400331 is a wasteful number, since it uses less digits than its factorization.

10203314400331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230539.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10203314400331 its reverse (13300441330201), we get a palindrome (23503755730532).

The spelling of 10203314400331 in words is "ten trillion, two hundred three billion, three hundred fourteen million, four hundred thousand, three hundred thirty-one".

Divisors: 1 13 37 59 481 767 1571 2183 20423 28379 58127 92689 228859 755651 1204957 2975167 3429493 8467783 13502681 44583409 110081179 175534853 359537489 499599197 4673987357 6494789561 13302887093 21212711851 172937532209 275765254063 784870338487 10203314400331