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10200010023 = 33771760117
BaseRepresentation
bin10010111111111011…
…11100110100100111
3222022212010012022000
421133331330310213
5131342200310043
64404045340343
7510523440360
oct113775746447
928285105260
1010200010023
114364704555
121b87b676b3
13c672791b8
146ca948b67
153ea71a2d3
hex25ff7cd27

10200010023 has 32 divisors (see below), whose sum is σ = 17513118720. Its totient is φ = 5746476960.

The previous prime is 10200010001. The next prime is 10200010063. The reversal of 10200010023 is 32001000201.

It is a happy number.

It is not a de Polignac number, because 10200010023 - 26 = 10200009959 is a prime.

It is a super-3 number, since 3×102000100233 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200009987 and 10200010014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200010063) 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 31 ways as a sum of consecutive naturals, for example, 366640 + ... + 393477.

It is an arithmetic number, because the mean of its divisors is an integer number (547284960).

Almost surely, 210200010023 is an apocalyptic number.

10200010023 is a deficient number, since it is larger than the sum of its proper divisors (7313108697).

10200010023 is an equidigital number, since it uses as much as digits as its factorization.

10200010023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760204 (or 760198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10200010023 its reverse (32001000201), we get a palindrome (42201010224).

The spelling of 10200010023 in words is "ten billion, two hundred million, ten thousand, twenty-three".

Divisors: 1 3 7 9 21 27 63 71 189 213 497 639 1491 1917 4473 13419 760117 2280351 5320819 6841053 15962457 20523159 47887371 53968307 143662113 161904921 377778149 485714763 1133334447 1457144289 3400003341 10200010023