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10102200201 = 34376133161
BaseRepresentation
bin10010110100010001…
…10101011110001001
3222002001001221110000
421122020311132021
5131142130401301
64350233113213
7505225166502
oct113210653611
928061057400
1010102200201
114314479595
121b5b258809
13c4cc21572
146bb967ba9
153e1d49786
hex25a235789

10102200201 has 20 divisors (see below), whose sum is σ = 15095408724. Its totient is φ = 6732806400.

The previous prime is 10102200187. The next prime is 10102200217. The reversal of 10102200201 is 10200220101.

It can be written as a sum of positive squares in 2 ways, for example, as 7521052176 + 2581148025 = 86724^2 + 50805^2 .

It is not a de Polignac number, because 10102200201 - 218 = 10101938057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10102200221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288061 + ... + 321221.

Almost surely, 210102200201 is an apocalyptic number.

It is an amenable number.

10102200201 is a deficient number, since it is larger than the sum of its proper divisors (4993208523).

10102200201 is an equidigital number, since it uses as much as digits as its factorization.

10102200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36934 (or 36925 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102200201 its reverse (10200220101), we get a palindrome (20302420302).

The spelling of 10102200201 in words is "ten billion, one hundred two million, two hundred thousand, two hundred one".

Divisors: 1 3 9 27 81 3761 11283 33161 33849 99483 101547 298449 304641 895347 2686041 124718521 374155563 1122466689 3367400067 10102200201