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1000107355 = 5133181503
BaseRepresentation
bin111011100111000…
…110110101011011
32120200212201101011
4323213012311123
54022011413410
6243123434351
733532525612
oct7347066533
92520781334
101000107355
11473597505
1223ab259b7
1312c277000
1496b78879
155cc0318a
hex3b9c6d5b

1000107355 has 32 divisors (see below), whose sum is σ = 1309875840. Its totient is φ = 733000320.

The previous prime is 1000107341. The next prime is 1000107359. The reversal of 1000107355 is 5537010001.

It is not a de Polignac number, because 1000107355 - 25 = 1000107323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000107359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988034 + ... + 1988536.

It is an arithmetic number, because the mean of its divisors is an integer number (40933620).

Almost surely, 21000107355 is an apocalyptic number.

1000107355 is a deficient number, since it is larger than the sum of its proper divisors (309768485).

1000107355 is an equidigital number, since it uses as much as digits as its factorization.

1000107355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 1000107355 is about 31624.4739877203. The cubic root of 1000107355 is about 1000.0357837195.

Adding to 1000107355 its reverse (5537010001), we get a palindrome (6537117356).

The spelling of 1000107355 in words is "one billion, one hundred seven thousand, three hundred fifty-five".

Divisors: 1 5 13 65 169 181 503 845 905 2197 2353 2515 6539 10985 11765 30589 32695 85007 91043 152945 397657 425035 455215 1105091 1183559 1988285 5525455 5917795 15386267 76931335 200021471 1000107355