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10220202201 = 3112191639091
BaseRepresentation
bin10011000010010101…
…11110100011011001
3222101021010001202110
421201022332203121
5131412332432301
64410050222533
7511160166606
oct114112764331
928337101673
1010220202201
114375046200
121b92884a49
13c6b4c8c31
146cd4c36ad
153ec3a80d6
hex2612be8d9

10220202201 has 48 divisors (see below), whose sum is σ = 15865176320. Its totient is φ = 5831416800.

The previous prime is 10220202193. The next prime is 10220202259.

10220202201 is nontrivially palindromic in base 10.

10220202201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220202201 - 23 = 10220202193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220202401) 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 47 ways as a sum of consecutive naturals, for example, 1119666 + ... + 1128756.

Almost surely, 210220202201 is an apocalyptic number.

10220202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220202201 is a deficient number, since it is larger than the sum of its proper divisors (5644974119).

10220202201 is a wasteful number, since it uses less digits than its factorization.

10220202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 10220202201 in words is "ten billion, two hundred twenty million, two hundred two thousand, two hundred one".

Divisors: 1 3 11 19 33 57 121 163 209 363 489 627 1793 2299 3097 5379 6897 9091 9291 19723 27273 34067 59169 100001 102201 172729 300003 374737 518187 1100011 1124211 1481833 1900019 3300033 4445499 5700057 16300163 20900209 28154827 48900489 62700627 84464481 179301793 309703097 537905379 929109291 3406734067 10220202201