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10200400301 = 713316415641
BaseRepresentation
bin10010111111111110…
…11100000110101101
3222022212212000122202
421133333130012231
5131342300302201
64404101551245
7510526654250
oct113777340655
928285760582
1010200400301
1143649507a3
121b88115525
13c67384a30
146caa0b097
153ea795c6b
hex25ffdc1ad

10200400301 has 32 divisors (see below), whose sum is σ = 12981835776. Its totient is φ = 7796736000.

The previous prime is 10200400253. The next prime is 10200400393. The reversal of 10200400301 is 10300400201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10200400301 - 210 = 10200399277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200400501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805441 + ... + 1811081.

It is an arithmetic number, because the mean of its divisors is an integer number (405682368).

Almost surely, 210200400301 is an apocalyptic number.

It is an amenable number.

10200400301 is a deficient number, since it is larger than the sum of its proper divisors (2781435475).

10200400301 is a wasteful number, since it uses less digits than its factorization.

10200400301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10200400301 its reverse (10300400201), we get a palindrome (20500800502).

The spelling of 10200400301 in words is "ten billion, two hundred million, four hundred thousand, three hundred one".

Divisors: 1 7 13 31 91 217 403 641 2821 4487 5641 8333 19871 39487 58331 73333 139097 174871 258323 513331 1224097 1808261 2273323 3615881 15913261 25311167 47006453 112092311 329045171 784646177 1457200043 10200400301