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102233223012019 = 111719223431531253
BaseRepresentation
bin10111001111101100000110…
…111100010001111010110011
3111101222101211002101221102211
4113033230012330101322303
5101344442120042341034
61001233143322152551
730351051366425551
oct2717540674217263
9441871732357384
10102233223012019
112a6359591a2890
12b571597652757
134507722a29478
141b36185c86bd1
15bc44c2791d64
hex5cfb06f11eb3

102233223012019 has 96 divisors (see below), whose sum is σ = 133072979618304. Its totient is φ = 77422061122560.

The previous prime is 102233223012013. The next prime is 102233223012043. The reversal of 102233223012019 is 910210322332201.

It is not a de Polignac number, because 102233223012019 - 27 = 102233223011891 is a prime.

It is a super-2 number, since 2×1022332230120192 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102233223012013) 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, 65998797 + ... + 67530049.

It is an arithmetic number, because the mean of its divisors is an integer number (1386176871024).

Almost surely, 2102233223012019 is an apocalyptic number.

102233223012019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102233223012019 is a deficient number, since it is larger than the sum of its proper divisors (30839756606285).

102233223012019 is a wasteful number, since it uses less digits than its factorization.

102233223012019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531385 (or 1531366 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 102233223012019 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred twenty-three million, twelve thousand, nineteen".

Divisors: 1 11 17 19 23 43 187 209 253 323 361 391 437 473 731 817 989 3553 3971 4301 4807 6137 7429 8041 8303 8987 10879 13889 15523 16813 18791 67507 81719 91333 141151 152779 170753 184943 206701 263891 319447 357029 1531253 1552661 2902801 3513917 3927319 6069493 16843783 26031301 29093807 35218819 65843879 66764423 286344311 320031877 387407009 494594719 552782333 598719923 669157561 724282669 1119345943 1251033701 1514409217 5440541909 6080605663 6585919153 7360733171 9397299661 11375678537 12312805373 12713993659 13761370711 16658501387 21267572917 23769640319 25744956689 28773775123 103370296271 125132463907 139853930249 216137892203 233943302087 261466043509 283194523579 316511526353 404083885423 489154177091 546701727337 2377516814233 4444922739653 5380695948001 6013719000707 9293929364729 102233223012019