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133101321003 = 32741715571303
BaseRepresentation
bin111101111110101110…
…1001111101100101011
3110201120001121200020200
41323331131033230223
54140042414233003
6141051303123243
712421242363360
oct1737535175453
9421501550220
10133101321003
11514a2253542
1221967443523
13c722572c11
146629328467
1536e026d6a3
hex1efd74fb2b

133101321003 has 96 divisors (see below), whose sum is σ = 228837353472. Its totient is φ = 72970329600.

The previous prime is 133101320903. The next prime is 133101321043. The reversal of 133101321003 is 300123101331.

It is a happy number.

It is not a de Polignac number, because 133101321003 - 210 = 133101319979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133101321043) 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, 102149250 + ... + 102150552.

It is an arithmetic number, because the mean of its divisors is an integer number (2383722432).

Almost surely, 2133101321003 is an apocalyptic number.

133101321003 is a deficient number, since it is larger than the sum of its proper divisors (95736032469).

133101321003 is a wasteful number, since it uses less digits than its factorization.

133101321003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133101321003 its reverse (300123101331), we get a palindrome (433224422334).

The spelling of 133101321003 in words is "one hundred thirty-three billion, one hundred one million, three hundred twenty-one thousand, three".

Divisors: 1 3 7 9 21 41 63 71 123 213 287 369 497 557 639 861 1303 1491 1671 2583 2911 3899 3909 4473 5013 8733 9121 11697 11727 20377 22837 26199 27363 35091 39547 53423 61131 68511 82089 92513 118641 159859 160269 183393 205533 276829 277539 355923 373961 479577 480807 647591 725771 830487 832617 1121883 1438731 1621427 1942773 2177313 2491461 3365649 3793033 4864281 5080397 5828319 6531939 11349989 11379099 14592843 15241191 26551231 29756611 34049967 34137297 45723573 51529741 79653693 89269833 102149901 154589223 208296277 238961079 267809499 360708187 463767669 624888831 1082124561 1874666493 2112719381 3246373683 6338158143 14789035667 19014474429 44367107001 133101321003