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103212101212301 = 1921012830753441
BaseRepresentation
bin10111011101111011110000…
…101000010001100010001101
3111112102222110210102202202102
4113131323300220101202031
5102012011340402243201
61003302552411204445
730511554041021564
oct2735736050214215
9445388423382672
10103212101212301
112a983008444a54
12b6ab243a46725
134578b230a6063
141b6b6c7032bdb
15bdebb4a4c26b
hex5ddef0a1188d

103212101212301 has 12 divisors (see below), whose sum is σ = 110008740263004. Its totient is φ = 96811767648000.

The previous prime is 103212101212267. The next prime is 103212101212303.

103212101212301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 65606679042025 + 37605422170276 = 8099795^2 + 6132326^2 .

It is not a de Polignac number, because 103212101212301 - 230 = 103211027470477 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212101212303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1415340260 + ... + 1415413181.

It is an arithmetic number, because the mean of its divisors is an integer number (9167395021917).

Almost surely, 2103212101212301 is an apocalyptic number.

It is an amenable number.

103212101212301 is a deficient number, since it is larger than the sum of its proper divisors (6796639050703).

103212101212301 is a wasteful number, since it uses less digits than its factorization.

103212101212301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830753580 (or 2830753561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 10321210 and 1212301, that added together give a palindrome (11533511).

The spelling of 103212101212301 in words is "one hundred three trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, three hundred one".

Divisors: 1 19 101 361 1919 36461 2830753441 53784315379 285906097541 1021901992201 5432215853279 103212101212301