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200210001000093 = 3272538565866641
BaseRepresentation
bin101101100001011100000101…
…111111010111011010011101
3222020212220000012120012001200
4231201130011333113122131
5202220220040224000333
61545451112115430113
760112460315340300
oct5541340577273235
9866786005505050
10200210001000093
115887a648111987
121a5560582b5339
138793950558796
143762304048b37
151822dc551cc13
hexb61705fd769d

200210001000093 has 36 divisors (see below), whose sum is σ = 342754587812988. Its totient is φ = 112247116450560.

The previous prime is 200210001000047. The next prime is 200210001000127. The reversal of 200210001000093 is 390000100012002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 113798159134884 + 86411841865209 = 10667622^2 + 9295797^2 .

It is not a de Polignac number, because 200210001000093 - 26 = 200210001000029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210001000043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4282909948 + ... + 4282956693.

It is an arithmetic number, because the mean of its divisors is an integer number (9520960772583).

Almost surely, 2200210001000093 is an apocalyptic number.

It is an amenable number.

200210001000093 is a deficient number, since it is larger than the sum of its proper divisors (142544586812895).

200210001000093 is a wasteful number, since it uses less digits than its factorization.

200210001000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565866714 (or 8565866704 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200210001000093 its reverse (390000100012002), we get a palindrome (590210101012095).

The spelling of 200210001000093 in words is "two hundred trillion, two hundred ten billion, one million, ninety-three", and thus it is an aban number.

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 3339 7791 23373 8565866641 25697599923 59961066487 77092799769 179883199461 419727465409 453990931973 539649598383 1259182396227 1361972795919 3177936523811 3777547188681 4085918387757 9533809571433 22245555666677 28601428714299 66736667000031 200210001000093