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323213013200133 = 32797967263320773
BaseRepresentation
bin100100101111101011110010…
…0110101101010110100000101
31120101101212021121121010002200
41021133113210311222310011
5314331010222334401013
63103230001454025113
7125036240526216060
oct11137274465526405
91511355247533080
10323213013200133
1193a92961895291
1230300a201a8199
1310b46b1957b924
1459b58440718d7
1527577a3a6ae73
hex125f5e4d6ad05

323213013200133 has 96 divisors (see below), whose sum is σ = 539846972560896. Its totient is φ = 182521932816384.

The previous prime is 323213013200101. The next prime is 323213013200171. The reversal of 323213013200133 is 331002310312323.

323213013200133 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 1 + 301 + 320 + 0 + 1 + 33 = 666.

It is not a de Polignac number, because 323213013200133 - 25 = 323213013200101 is a prime.

It is a super-2 number, since 2×3232130132001332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323213013200097 and 323213013200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323213013200173) 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, 15559273935 + ... + 15559294707.

It is an arithmetic number, because the mean of its divisors is an integer number (5623405964176).

Almost surely, 2323213013200133 is an apocalyptic number.

It is an amenable number.

323213013200133 is a deficient number, since it is larger than the sum of its proper divisors (216633959360763).

323213013200133 is a wasteful number, since it uses less digits than its factorization.

323213013200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24483 (or 24480 counting only the distinct ones).

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

Adding to 323213013200133 its reverse (331002310312323), we get a palindrome (654215323512456).

The spelling of 323213013200133 in words is "three hundred twenty-three trillion, two hundred thirteen billion, thirteen million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 97 291 679 873 967 2037 2633 2901 6111 6769 7899 8703 18431 20307 20773 23697 55293 60921 62319 93799 145411 165879 186957 255401 281397 436233 656593 766203 844191 1308699 1787807 1969779 2014981 2298609 2546111 5363421 5909337 6044943 7638333 14104867 16090263 17822777 18134829 20087491 22914999 42314601 53468331 54695309 60262473 126943803 140612437 160404993 164085927 180787419 246972767 382867163 421837311 492257781 740918301 1148601489 1265511933 1728809369 1948486627 2222754903 3445804467 5186428107 5305444973 5845459881 13639406389 15559284321 15916334919 17536379643 37138114811 40918219167 47749004757 52890363803 111414344433 122754657501 158671091409 334243033299 370232546621 476013274227 1110697639863 3332092919589 5130365288891 15391095866673 35912557022237 46173287600019 107737671066711 323213013200133