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10231400030201 = 74173143317189
BaseRepresentation
bin1001010011100010111011…
…1101101101111111111001
31100020010000212012202002022
42110320232331231333321
52320112401401431301
633432123522444225
72104123426220000
oct224705675557771
940203025182068
1010231400030201
1132951266486a9
121192ab7203675
13592a808cbc0c
142752b9577c37
1512b21ed8ed1b
hex94e2ef6dff9

10231400030201 has 40 divisors (see below), whose sum is σ = 12013993292040. Its totient is φ = 8712487746816.

The previous prime is 10231400030177. The next prime is 10231400030209. The reversal of 10231400030201 is 10203000413201.

It can be written as a sum of positive squares in 4 ways, for example, as 7917335378176 + 2314064652025 = 2813776^2 + 1521205^2 .

It is not a de Polignac number, because 10231400030201 - 234 = 10214220161017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10231400030201.

It is not an unprimeable number, because it can be changed into a prime (10231400030209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 595220915 + ... + 595238103.

It is an arithmetic number, because the mean of its divisors is an integer number (300349832301).

Almost surely, 210231400030201 is an apocalyptic number.

It is an amenable number.

10231400030201 is a deficient number, since it is larger than the sum of its proper divisors (1782593261839).

10231400030201 is an equidigital number, since it uses as much as digits as its factorization.

10231400030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10231400030201 its reverse (10203000413201), we get a palindrome (20434400443402).

The spelling of 10231400030201 in words is "ten trillion, two hundred thirty-one billion, four hundred million, thirty thousand, two hundred one".

Divisors: 1 7 49 173 343 1211 1433 2401 8477 10031 17189 59339 70217 120323 247909 415373 491519 842261 1735363 2973697 3440633 5895827 12147541 20815879 24631837 41270789 85032787 145711153 172422859 595229509 1019978071 1206960013 4261307801 7139846497 8448720091 29829154607 59141040637 208804082249 1461628575743 10231400030201