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133121232133110 = 23351347806942063
BaseRepresentation
bin11110010001001010110011…
…110000001101101111110110
3122110100021011112221000121000
4132101022303300031233312
5114422024240411224420
61151043014430504130
740016456142121014
oct3621126360155766
9573307145830530
10133121232133110
1139464441091951
1212b1b953365046
1359383806347a0
1424c315dcd38b4
15105cbc7029690
hex7912b3c0dbf6

133121232133110 has 128 divisors (see below), whose sum is σ = 390430848245760. Its totient is φ = 32071105312128.

The previous prime is 133121232133081. The next prime is 133121232133111. The reversal of 133121232133110 is 11331232121331.

133121232133110 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 1 + 2 + 321 + 331 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133121232133111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403306062 + ... + 403636001.

It is an arithmetic number, because the mean of its divisors is an integer number (3050241001920).

Almost surely, 2133121232133110 is an apocalyptic number.

133121232133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133121232133110 is an abundant number, since it is smaller than the sum of its proper divisors (257309616112650).

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

133121232133110 is a wasteful number, since it uses less digits than its factorization.

133121232133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806942139 (or 806942133 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133121232133110 its reverse (11331232121331), we get a palindrome (144452464254441).

The spelling of 133121232133110 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3055 3510 3666 4230 5499 6110 6345 9165 10998 12690 16497 18330 27495 32994 54990 82485 164970 806942063 1613884126 2420826189 4034710315 4841652378 7262478567 8069420630 10490246819 12104130945 14524957134 20980493638 21787435701 24208261890 31470740457 36312392835 37926276961 43574871402 52451234095 62941480914 72624785670 75852553922 94412221371 104902468190 108937178505 113778830883 157353702285 188824442742 189631384805 217874357010 227557661766 283236664113 314707404570 341336492649 379262769610 472061106855 493041600493 566473328226 568894154415 682672985298 944122213710 986083200986 1024009477947 1137788308830 1416183320565 1479124801479 1706682463245 2048018955894 2465208002465 2832366641130 2958249602958 3413364926490 4437374404437 4930416004930 5120047389735 7395624007395 8874748808874 10240094779470 13312123213311 14791248014790 22186872022185 26624246426622 44373744044370 66560616066555 133121232133110