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10042201301 = 114316173433
BaseRepresentation
bin10010101101000111…
…11101010011010101
3221220212011200102112
421112203331103111
5131031300420201
64340251120405
7503566205546
oct112643752325
927825150375
1010042201301
114293619520
121b43143105
13c40674c62
146b39ca4cd
153db9470bb
hex2568fd4d5

10042201301 has 16 divisors (see below), whose sum is σ = 11001547008. Its totient is φ = 9090681600.

The previous prime is 10042201261. The next prime is 10042201307. The reversal of 10042201301 is 10310224001.

It is not a de Polignac number, because 10042201301 - 26 = 10042201237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042201307) 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 15 ways as a sum of consecutive naturals, for example, 2923481 + ... + 2926913.

It is an arithmetic number, because the mean of its divisors is an integer number (687596688).

Almost surely, 210042201301 is an apocalyptic number.

10042201301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042201301 is a deficient number, since it is larger than the sum of its proper divisors (959345707).

10042201301 is a wasteful number, since it uses less digits than its factorization.

10042201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10042201301 its reverse (10310224001), we get a palindrome (20352425302).

The spelling of 10042201301 in words is "ten billion, forty-two million, two hundred one thousand, three hundred one".

Divisors: 1 11 431 617 3433 4741 6787 37763 265927 1479623 2118161 2925197 16275853 23299771 912927391 10042201301