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10202202310201 = 1123375232083867
BaseRepresentation
bin1001010001110110001010…
…1001010000011000111001
31100010022200000112212222021
42110131202221100120321
52314123102242411301
633410454350154441
72102041040541616
oct224354251203071
940108600485867
1010202202310201
1132838032624a0
121189308ab2a21
135900a9807715
14273b098cd50d
1512a5b18dd8a1
hex94762a50639

10202202310201 has 32 divisors (see below), whose sum is σ = 11950266129408. Its totient is φ = 8615202171840.

The previous prime is 10202202310187. The next prime is 10202202310219. The reversal of 10202202310201 is 10201320220201.

It is a happy number.

It is not a de Polignac number, because 10202202310201 - 219 = 10202201785913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202202310801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3853870 + ... + 5937736.

It is an arithmetic number, because the mean of its divisors is an integer number (373445816544).

Almost surely, 210202202310201 is an apocalyptic number.

10202202310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202202310201 is a deficient number, since it is larger than the sum of its proper divisors (1748063819207).

10202202310201 is a wasteful number, since it uses less digits than its factorization.

10202202310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084461.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10202202310201 its reverse (10201320220201), we get a palindrome (20403522530402).

Subtracting from 10202202310201 its reverse (10201320220201), we obtain a square (882090000 = 297002).

The spelling of 10202202310201 in words is "ten trillion, two hundred two billion, two hundred two million, three hundred ten thousand, two hundred one".

Divisors: 1 11 23 37 253 407 523 851 5753 9361 12029 19351 132319 212861 445073 2083867 4895803 22922537 47928941 77103079 527218351 848133869 1089862441 1773370817 11988486851 19507078987 25066836143 40324910317 275735197573 443574013487 927472937291 10202202310201