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10354111131 = 371359642833
BaseRepresentation
bin10011010010010011…
…10011001010011011
3222201121002100021110
421221021303022123
5132201123024011
64431232311403
7514404330630
oct115111631233
928647070243
1010354111131
114433697a41
12200b6a2563
13c901829a0
147031c0187
15409009ba6
hex26927329b

10354111131 has 32 divisors (see below), whose sum is σ = 17279377920. Its totient is φ = 5368932864.

The previous prime is 10354111109. The next prime is 10354111211. The reversal of 10354111131 is 13111145301.

10354111131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10354111131 - 26 = 10354111067 is a prime.

It is a super-3 number, since 3×103541111313 (a number of 31 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 10354111098 and 10354111107.

It is not an unprimeable number, because it can be changed into a prime (10354111231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305310 + ... + 337523.

It is an arithmetic number, because the mean of its divisors is an integer number (539980560).

Almost surely, 210354111131 is an apocalyptic number.

10354111131 is a deficient number, since it is larger than the sum of its proper divisors (6925266789).

10354111131 is a wasteful number, since it uses less digits than its factorization.

10354111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642915.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10354111131 its reverse (13111145301), we get a palindrome (23465256432).

The spelling of 10354111131 in words is "ten billion, three hundred fifty-four million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 59 91 177 273 413 767 1239 2301 5369 16107 642833 1928499 4499831 8356829 13499493 25070487 37927147 58497803 113781441 175493409 265490029 493052911 796470087 1479158733 3451370377 10354111131