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20102332211001 = 3237809292237
BaseRepresentation
bin1001001001000011100000…
…10111101101111100111001
32122011202122002120102221200
410210201300113231330321
510113324034021223001
6110430514532324413
74143226350326235
oct444416027557471
978152562512850
1020102332211001
116450395514847
122307b72473709
13b2a846035a91
144d6d5ad335c5
1524cd93c06086
hex1248705edf39

20102332211001 has 36 divisors (see below), whose sum is σ = 29858709241452. Its totient is φ = 13023091567872.

The previous prime is 20102332210957. The next prime is 20102332211009. The reversal of 20102332211001 is 10011223320102.

20102332211001 is a `hidden beast` number, since 20 + 102 + 332 + 211 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6526497199401 + 13575835011600 = 2554701^2 + 3684540^2 .

It is not a de Polignac number, because 20102332211001 - 210 = 20102332209977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20102332211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217896055 + ... + 217988291.

Almost surely, 220102332211001 is an apocalyptic number.

It is an amenable number.

20102332211001 is a deficient number, since it is larger than the sum of its proper divisors (9756377030451).

20102332211001 is an frugal number, since it uses more digits than its factorization.

20102332211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93898 (or 93086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20102332211001 its reverse (10011223320102), we get a palindrome (30113555531103).

The spelling of 20102332211001 in words is "twenty trillion, one hundred two billion, three hundred thirty-two million, two hundred eleven thousand, one".

Divisors: 1 3 9 37 111 333 809 2427 7281 29933 89799 92237 269397 276711 654481 830133 1963443 3412769 5890329 10238307 24215797 30714921 72647391 74619733 217942173 223859199 671577597 2760930121 8282790363 24848371089 60367363997 181102091991 543306275973 2233592467889 6700777403667 20102332211001