Search a number
-
+
1100020132233 = 331122396715139
BaseRepresentation
bin10000000000011110010…
…011110010100110001001
310220011100021221120222000
4100000132103302212021
5121010320123212413
62201201533021213
7142321344564051
oct20003623624611
93804307846860
101100020132233
11394574761700
12159236624809
137c968006939
143b354028561
151d93262b073
hex1001e4f2989

1100020132233 has 96 divisors (see below), whose sum is σ = 1871216793600. Its totient is φ = 636991296480.

The previous prime is 1100020132231. The next prime is 1100020132261. The reversal of 1100020132233 is 3322310200011.

1100020132233 is a `hidden beast` number, since 110 + 0 + 0 + 201 + 322 + 33 = 666.

It is not a de Polignac number, because 1100020132233 - 21 = 1100020132231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100020132231) 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, 72653778 + ... + 72668916.

It is an arithmetic number, because the mean of its divisors is an integer number (19491841600).

Almost surely, 21100020132233 is an apocalyptic number.

It is an amenable number.

1100020132233 is a deficient number, since it is larger than the sum of its proper divisors (771196661367).

1100020132233 is a wasteful number, since it uses less digits than its factorization.

1100020132233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16160 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100020132233 its reverse (3322310200011), we get a palindrome (4422330332244).

The spelling of 1100020132233 in words is "one trillion, one hundred billion, twenty million, one hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 11 23 27 33 69 99 121 207 253 297 363 621 759 967 1089 2277 2783 2901 3267 6831 8349 8703 10637 15139 22241 25047 26109 31911 45417 66723 75141 95733 117007 136251 166529 200169 244651 287199 348197 351021 408753 499587 600507 733953 1044591 1053063 1498761 1831819 2201859 2691161 3133773 3159189 3830167 4496283 5495457 6605577 8073483 9401319 11490501 14639413 16486371 24220449 34471503 42131837 43918239 49459113 72661347 103414509 126395511 131754717 161033543 336706499 379186533 395264151 483100629 1010119497 1137559599 1449301887 1771368973 3030358491 3703771489 4347905661 5314106919 9091075473 11111314467 15942320757 33333943401 40741486379 47826962271 100001830203 122224459137 366673377411 1100020132233