Search a number
-
+
1333221110221 = 711132232293661
BaseRepresentation
bin10011011001101010001…
…010111011000111001101
311201110021110201201010211
4103121222022323013031
5133320414101011341
62500250123202421
7165215314312210
oct23315212730715
94643243651124
101333221110221
11474463617a90
12196479076411
139895090c900
1448757715777
1524a3071c181
hex1366a2bb1cd

1333221110221 has 144 divisors (see below), whose sum is σ = 1890831261312. Its totient is φ = 912752755200.

The previous prime is 1333221110201. The next prime is 1333221110227. The reversal of 1333221110221 is 1220111223331.

It is not a de Polignac number, because 1333221110221 - 215 = 1333221077453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1333221110192 and 1333221110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333221110227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2016975631 + ... + 2016976291.

It is an arithmetic number, because the mean of its divisors is an integer number (13130772648).

Almost surely, 21333221110221 is an apocalyptic number.

1333221110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1333221110221 is a deficient number, since it is larger than the sum of its proper divisors (557610151091).

1333221110221 is a wasteful number, since it uses less digits than its factorization.

1333221110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1333221110221 its reverse (1220111223331), we get a palindrome (2553332333552).

The spelling of 1333221110221 in words is "one trillion, three hundred thirty-three billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 13 23 77 91 143 161 169 253 293 299 529 661 1001 1183 1771 1859 2051 2093 3223 3289 3703 3809 3887 4627 5819 6739 6877 7271 8593 13013 15203 22561 23023 26663 27209 40733 41899 42757 47173 48139 49517 50897 60151 74129 75647 87607 89401 94523 106421 111709 154997 167233 193673 197639 293293 299299 346619 349669 518903 529529 544687 613249 625807 661661 781963 963677 983411 1084979 1138891 1170631 1228799 1355711 1383473 1704967 2014961 2130403 2174029 2447683 2517749 2569307 3812809 3846359 4454479 4545697 6745739 6883877 7972237 8601593 11934769 12527801 14104727 14912821 15218203 17624243 17985149 22164571 26194493 26924513 27695239 28262377 31181353 31819879 32730737 48999269 50002667 57908227 59094061 87694607 102453017 155151997 183361451 193866673 197836639 229115159 288139423 342994883 350018669 360038107 405357589 413658427 636990497 650034671 717171119 752806951 1126983187 1331889221 2016975961 2520266749 4458933479 4550242697 5269648657 7888882309 8280876461 9323224547 14650781431 17314559873 57966135227 102555470017 121201919111 190460158603 1333221110221