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202100103023 = 71323536129867
BaseRepresentation
bin1011110000111000011…
…0101101011101101111
3201022122200222222020212
42330032012231131233
511302400111244043
6232502110333035
720413141350230
oct2741606553557
9638580888225
10202100103023
117878a26a735
1233202aba17b
131609a444ba0
149ad2d97087
1553cca0c018
hex2f0e1ad76f

202100103023 has 64 divisors (see below), whose sum is σ = 268794796032. Its totient is φ = 147600161280.

The previous prime is 202100103017. The next prime is 202100103041. The reversal of 202100103023 is 320301001202.

It is a happy number.

It is not a de Polignac number, because 202100103023 - 28 = 202100102767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202100102989 and 202100103007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100103043) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6751736 + ... + 6781602.

It is an arithmetic number, because the mean of its divisors is an integer number (4199918688).

Almost surely, 2202100103023 is an apocalyptic number.

202100103023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

202100103023 is a deficient number, since it is larger than the sum of its proper divisors (66694693009).

202100103023 is a wasteful number, since it uses less digits than its factorization.

202100103023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30024.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 202100103023 its reverse (320301001202), we get a palindrome (522401104225).

The spelling of 202100103023 in words is "two hundred two billion, one hundred million, one hundred three thousand, twenty-three".

Divisors: 1 7 13 23 53 61 91 161 299 371 427 689 793 1219 1403 2093 3233 4823 5551 8533 9821 15847 18239 22631 29867 42029 74359 110929 127673 209069 294203 388271 520513 686941 966667 1582951 1821887 2717897 4808587 6766669 8930233 11080657 12753209 20578363 23684531 36407873 41903401 62511631 96560011 144048541 165791717 254855111 293323807 473302349 544744213 675920077 1255280143 2220880253 3313116443 3813209491 8786961001 15546161771 28871443289 202100103023