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21121311130321 = 271351329151673
BaseRepresentation
bin1001100110101101100000…
…01111110100001011010001
32202210011210111011212022111
410303112300033310023101
510232022421122132241
6112530555115105321
74306651531251463
oct463266017641321
982704714155274
1021121311130321
116803552557726
122451550442241
13ba296729aa9c
145303c3bc8133
15269631740c81
hex1335b03f42d1

21121311130321 has 8 divisors (see below), whose sum is σ = 21129647303880. Its totient is φ = 21112975368192.

The previous prime is 21121311130319. The next prime is 21121311130411. The reversal of 21121311130321 is 12303111312112.

It can be written as a sum of positive squares in 4 ways, for example, as 15782027475600 + 5339283654721 = 3972660^2 + 2310689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21121311130321 - 21 = 21121311130319 is a prime.

It is a super-2 number, since 2×211213111303212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121311130292 and 21121311130301.

It is not an unprimeable number, because it can be changed into a prime (21121311134321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139179741 + ... + 139331413.

It is an arithmetic number, because the mean of its divisors is an integer number (2641205912985).

Almost surely, 221121311130321 is an apocalyptic number.

It is an amenable number.

21121311130321 is a deficient number, since it is larger than the sum of its proper divisors (8336173559).

21121311130321 is a wasteful number, since it uses less digits than its factorization.

21121311130321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205715.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 21121311130321 its reverse (12303111312112), we get a palindrome (33424422442433).

The spelling of 21121311130321 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred eleven million, one hundred thirty thousand, three hundred twenty-one".

Divisors: 1 2713 51329 151673 139255577 411488849 7785223417 21121311130321