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10202433420201 = 3111977092213489
BaseRepresentation
bin1001010001110111000001…
…1010110111101110101001
31100010100021010102111021220
42110131300122313232221
52314124040423421301
633410533323452253
72102046545126661
oct224356032675651
940110233374256
1010202433420201
1132839117638a0
121189372387089
13590115664cb9
14273b2c48d1a1
1512a5c6d40936
hex947706b7ba9

10202433420201 has 32 divisors (see below), whose sum is σ = 14936276361600. Its totient is φ = 6143226055680.

The previous prime is 10202433420191. The next prime is 10202433420211.

It is a happy number.

10202433420201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10202433420191) and next prime (10202433420211).

It is not a de Polignac number, because 10202433420201 - 219 = 10202432895913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202433420211) 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, 3502465 + ... + 5715953.

It is an arithmetic number, because the mean of its divisors is an integer number (466758636300).

Almost surely, 210202433420201 is an apocalyptic number.

10202433420201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202433420201 is a deficient number, since it is larger than the sum of its proper divisors (4733842941399).

10202433420201 is a wasteful number, since it uses less digits than its factorization.

10202433420201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214409.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1020243 and 3420201, that added together give a palindrome (4440444).

The spelling of 10202433420201 in words is "ten trillion, two hundred two billion, four hundred thirty-three million, four hundred twenty thousand, two hundred one".

Divisors: 1 3 11 33 197 591 709 2127 2167 6501 7799 23397 139673 419019 1536403 2213489 4609209 6640467 24348379 73045137 436057333 1308171999 1569363701 4708091103 4796630663 14389891989 17263000711 51789002133 309164649097 927493947291 3400811140067 10202433420201