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133233001320321 = 3274779827688717
BaseRepresentation
bin11110010010110010111001…
…101101110100111110000001
3122110201221122221101000120100
4132102302321231310332001
5114430342141314222241
61151210221300233013
740030523655413460
oct3622627155647601
9573657587330510
10133233001320321
11394a7886960551
1212b3954669b769
135945a83523816
1424c872404c9d7
151060a695e09b6
hex792cb9b74f81

133233001320321 has 96 divisors (see below), whose sum is σ = 227738436157440. Its totient is φ = 73481016405888.

The previous prime is 133233001320259. The next prime is 133233001320359. The reversal of 133233001320321 is 123023100332331.

133233001320321 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 300 + 1 + 32 + 0 + 321 = 666.

It is not a de Polignac number, because 133233001320321 - 26 = 133233001320257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133233001320121) 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, 193106655 + ... + 193795371.

It is an arithmetic number, because the mean of its divisors is an integer number (2372275376640).

Almost surely, 2133233001320321 is an apocalyptic number.

It is an amenable number.

133233001320321 is a deficient number, since it is larger than the sum of its proper divisors (94505434837119).

133233001320321 is a wasteful number, since it uses less digits than its factorization.

133233001320321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689683 (or 689680 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133233001320321 its reverse (123023100332331), we get a palindrome (256256101652652).

The spelling of 133233001320321 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, one million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 47 63 79 141 237 329 423 553 711 827 987 1659 2481 2961 3713 4977 5789 7443 11139 17367 25991 33417 38869 52101 65333 77973 116607 195999 233919 272083 349821 457331 587997 688717 816249 1371993 2066151 2448747 3070651 4115979 4821019 6198453 9211953 14463057 21494557 27635859 32369699 43389171 54408643 64483671 97109097 163225929 193451013 226587893 291327291 380860501 489677787 569568959 679763679 1142581503 1708706877 2039291037 2557206221 3427744509 3986982713 5126120631 7671618663 11960948139 17900443547 23014855989 26769741073 35882844417 44995947761 53701330641 80309223219 134987843283 161103991923 187388187511 240927669657 314971634327 404963529849 562164562533 944914902981 1686493687599 2114809544767 2834744708943 6344428634301 14803666813369 19033285902903 44411000440107 133233001320321