Search a number
-
+
21111001221121 = 7293153591072811
BaseRepresentation
bin1001100110011010010011…
…01110101000100000000001
32202202012011222021012200121
410303031021232220200001
510231340312303033441
6112522132102020241
74306135201416250
oct463151156504001
982665158235617
1021111001221121
1167aa141910309
12244b553717681
13ba19b33233b6
1452dac6832797
1526922b567dd1
hex133349ba8801

21111001221121 has 64 divisors (see below), whose sum is σ = 26694995558400. Its totient is φ = 16307398598400.

The previous prime is 21111001221031. The next prime is 21111001221173. The reversal of 21111001221121 is 12112210011112.

It is a de Polignac number, because none of the positive numbers 2k-21111001221121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21111001221095 and 21111001221104.

It is not an unprimeable number, because it can be changed into a prime (21111001231121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19141806 + ... + 20214616.

It is an arithmetic number, because the mean of its divisors is an integer number (417109305600).

Almost surely, 221111001221121 is an apocalyptic number.

It is an amenable number.

21111001221121 is a deficient number, since it is larger than the sum of its proper divisors (5583994337279).

21111001221121 is a wasteful number, since it uses less digits than its factorization.

21111001221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072990.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 21111001221121 its reverse (12112210011112), we get a palindrome (33223211232233).

The spelling of 21111001221121 in words is "twenty-one trillion, one hundred eleven billion, one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 7 29 31 53 59 203 217 371 413 899 1537 1643 1711 1829 3127 6293 10759 11501 11977 12803 21889 47647 53041 90683 96937 333529 371287 634781 678559 1072811 2811173 7509677 19678211 31111519 33257141 56858983 63295849 217780633 232799987 398012881 443070943 964457089 1648910507 1762628473 1835579621 1962171319 3354679997 6751199623 11542373549 12338399311 12849057347 13735199233 23482759979 51116225717 56902968251 97285719913 103995079907 357813580019 398320777757 681000039391 727965559349 3015857317303 21111001221121