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1321222221231 = 3112291012834391
BaseRepresentation
bin10011001110011110111…
…110110010110110101111
311200022022020200222210220
4103032132332302312233
5133121330342034411
62450543333302423
7164312055403443
oct23163676626657
94608266628726
101321222221231
1146a366555100
1219408a794a13
139778aa769b3
1447d39d06823
152457c11ab06
hex1339efb2daf

1321222221231 has 96 divisors (see below), whose sum is σ = 2030550197760. Its totient is φ = 762595680000.

The previous prime is 1321222221169. The next prime is 1321222221239.

1321222221231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1321222221231 - 213 = 1321222213039 is a prime.

It is a super-2 number, since 2×13212222212312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321222221239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300891046 + ... + 300895436.

It is an arithmetic number, because the mean of its divisors is an integer number (21151564560).

Almost surely, 21321222221231 is an apocalyptic number.

1321222221231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321222221231 is a deficient number, since it is larger than the sum of its proper divisors (709327976529).

1321222221231 is a wasteful number, since it uses less digits than its factorization.

1321222221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4818 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 1321222221231 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 29 33 87 101 121 283 303 319 363 849 957 1111 2929 3113 3333 3509 4391 8207 8787 9339 10527 12221 13173 24621 28583 32219 34243 36663 48301 85749 90277 96657 102729 127339 144903 270831 314413 354409 382017 443491 531311 828907 943239 993047 1063227 1242653 1330473 1400729 1593933 2486721 2979141 3458543 3727959 4202187 4878401 9117977 10375629 12861239 13669183 14635203 15408019 27353931 36036937 38583717 41007549 46224057 53662411 100297747 108110811 125507953 141473629 150361013 160987233 300893241 376523859 396406307 424420887 451083039 1189218921 1380587483 1556209919 3639730637 4141762449 4360469377 4668629757 10919191911 13081408131 15186462313 40037037007 45559386939 120111111021 440407407077 1321222221231