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133022032100322 = 231721971201324239
BaseRepresentation
bin11110001111101110011010…
…111110000111101111100010
3122102222210010010120020001120
4132033232122332013233202
5114413413110204202242
61150525251121513110
740006344650551311
oct3617563276075742
9572883103506046
10133022032100322
1139426366274a82
1212b046894a2796
13592bc01796031
1424bc42d1d0278
15105a31d15c1ec
hex78fb9af87be2

133022032100322 has 96 divisors (see below), whose sum is σ = 284286260079360. Its totient is φ = 41485863014400.

The previous prime is 133022032100303. The next prime is 133022032100359. The reversal of 133022032100322 is 223001230220331.

It is a super-2 number, since 2×1330220321003222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133022032100292 and 133022032100301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410097079 + ... + 410421317.

It is an arithmetic number, because the mean of its divisors is an integer number (2961315209160).

Almost surely, 2133022032100322 is an apocalyptic number.

133022032100322 is an abundant number, since it is smaller than the sum of its proper divisors (151264227979038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133022032100322 is a wasteful number, since it uses less digits than its factorization.

133022032100322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325676 (or 325659 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133022032100322 its reverse (223001230220331), we get a palindrome (356023262320653).

The spelling of 133022032100322 in words is "one hundred thirty-three trillion, twenty-two billion, thirty-two million, one hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 197 289 394 578 591 867 1182 1201 1734 2402 3349 3603 6698 7206 10047 20094 20417 40834 56933 61251 113866 122502 170799 236597 324239 341598 347089 473194 648478 694178 709791 972717 1041267 1419582 1945434 2082534 4022149 5512063 8044298 11024126 12066447 16536189 24132894 33072378 63875083 68376533 93705071 127750166 136753066 187410142 191625249 205129599 281115213 383250498 389411039 410259198 562230426 778822078 1085876411 1168233117 2171752822 2336466234 3257629233 6515258466 6619987663 13239975326 18459898987 19859962989 36919797974 39719925978 55379696961 76713974683 110759393922 112539790271 153427949366 225079580542 230141924049 337619370813 460283848098 675238741626 1304137569611 2608275139222 3912412708833 7824825417666 22170338683387 44340677366774 66511016050161 133022032100322