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10202322320201 = 114127183474381
BaseRepresentation
bin1001010001110110100111…
…0011000011101101001001
31100010022222101101000202002
42110131221303003231021
52314123324003221301
633410514314320345
72102044025604164
oct224355163035511
940108871330662
1010202322320201
113283864a80810
1211893411290b5
135900c863605b
14273b1b80cadb
1512a5bc1e716b
hex94769cc3b49

10202322320201 has 16 divisors (see below), whose sum is σ = 11443336079616. Its totient is φ = 9015233040000.

The previous prime is 10202322320159. The next prime is 10202322320209.

It is a happy number.

10202322320201 is nontrivially palindromic in base 10.

10202322320201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202322320201 - 26 = 10202322320137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202322320209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41614970 + ... + 41859411.

It is an arithmetic number, because the mean of its divisors is an integer number (715208504976).

Almost surely, 210202322320201 is an apocalyptic number.

10202322320201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202322320201 is a deficient number, since it is larger than the sum of its proper divisors (1241013759415).

10202322320201 is a wasteful number, since it uses less digits than its factorization.

10202322320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83474704.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1020232 and 2320201, that added together give a palindrome (3340433).

The spelling of 10202322320201 in words is "ten trillion, two hundred two billion, three hundred twenty-two million, three hundred twenty thousand, two hundred one".

Divisors: 1 11 41 271 451 2981 11111 122221 83474381 918218191 3422449621 22621557251 37646945831 248837129761 927483847291 10202322320201