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1331012112021 = 322324315741411
BaseRepresentation
bin10011010111100110100…
…000010000111010010101
311201020120112002222021200
4103113212200100322111
5133301403100041041
62455243012503113
7165106502165214
oct23274640207225
94636515088250
101331012112021
1147352a701a39
12195b6131aa99
139868b07a697
14485c81b507b
15249518241b6
hex135e6810e95

1331012112021 has 72 divisors (see below), whose sum is σ = 2069685954336. Its totient is φ = 823722419520.

The previous prime is 1331012111983. The next prime is 1331012112061. The reversal of 1331012112021 is 1202112101331.

It is not a de Polignac number, because 1331012112021 - 234 = 1313832242837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1331012111985 and 1331012112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331012112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32120806 + ... + 32162216.

Almost surely, 21331012112021 is an apocalyptic number.

It is an amenable number.

1331012112021 is a deficient number, since it is larger than the sum of its proper divisors (738673842315).

1331012112021 is a wasteful number, since it uses less digits than its factorization.

1331012112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41663 (or 41637 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1331012112021 its reverse (1202112101331), we get a palindrome (2533124213352).

The spelling of 1331012112021 in words is "one trillion, three hundred thirty-one billion, twelve million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 23 43 69 129 157 207 387 471 529 989 1413 1587 2967 3611 4761 6751 8901 10833 20253 22747 32499 41411 60759 68241 83053 124233 155273 204723 249159 372699 465819 747477 952453 1397457 1780673 2857359 3571279 5342019 6501527 8572077 10713837 16026057 19504581 21906419 32141511 40955479 58513743 65719257 122866437 149535121 197157771 279565661 368599311 448605363 838696983 941976017 1345816089 2516090949 2825928051 3439307783 6430010203 8477784153 10317923349 19290030609 30953770047 57870091827 147890234669 443670704007 1331012112021