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133042131222 = 2371113163135899
BaseRepresentation
bin111101111100111101…
…1011101000100010110
3110201101221020112010120
41323321323131010112
54134432241144342
6141041350332410
712416623312410
oct1737173350426
9421357215116
10133042131222
11514718a6370
122194b65a106
13c71321a990
14662151b9b0
1536d9e7aaec
hex1ef9edd116

133042131222 has 128 divisors (see below), whose sum is σ = 359454412800. Its totient is φ = 31702285440.

The previous prime is 133042131197. The next prime is 133042131259. The reversal of 133042131222 is 222131240331.

It is a junction number, because it is equal to n+sod(n) for n = 133042131192 and 133042131201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 911029 + ... + 1046927.

It is an arithmetic number, because the mean of its divisors is an integer number (2808237600).

Almost surely, 2133042131222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133042131222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179727206400).

133042131222 is an abundant number, since it is smaller than the sum of its proper divisors (226412281578).

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

133042131222 is a wasteful number, since it uses less digits than its factorization.

133042131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136098.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133042131222 its reverse (222131240331), we get a palindrome (355173371553).

The spelling of 133042131222 in words is "one hundred thirty-three billion, forty-two million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 163 182 231 273 286 326 429 462 489 546 858 978 1001 1141 1793 2002 2119 2282 3003 3423 3586 4238 5379 6006 6357 6846 10758 12551 12714 14833 23309 25102 29666 37653 44499 46618 69927 75306 88998 135899 139854 163163 271798 326326 407697 489489 815394 951293 978978 1494889 1766687 1902586 2853879 2989778 3533374 4484667 5300061 5707758 8969334 10464223 10600122 12366809 19433557 20928446 22151537 24733618 31392669 37100427 38867114 44303074 58300671 62785338 66454611 74200854 116601342 132909222 136034899 155060759 243666907 272069798 287969981 310121518 408104697 465182277 487333814 575939962 731000721 816209394 863909943 930364554 1462001442 1705668349 1727819886 2015789867 3167669791 3411336698 4031579734 5117005047 6047369601 6335339582 9503009373 10234010094 12094739202 19006018746 22173688537 44347377074 66521065611 133042131222