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33001132130001 = 35731871211619
BaseRepresentation
bin1111000000011101011001…
…10000011111111011010001
311022211212200122021012100000
413200032230300133323101
513311142304311130001
6154104302200120213
76644152550526000
oct740165460377321
9138755618235300
1033001132130001
11a573779827862
12384ba10466069
131554cbb68c459
14821398786c37
153c367daeda86
hex1e03acc1fed1

33001132130001 has 96 divisors (see below), whose sum is σ = 57679824384000. Its totient is φ = 18847621734480.

The previous prime is 33001132129937. The next prime is 33001132130059. The reversal of 33001132130001 is 10003123110033.

It is a happy number.

33001132130001 is a `hidden beast` number, since 3 + 30 + 0 + 11 + 321 + 300 + 0 + 1 = 666.

It is not a de Polignac number, because 33001132130001 - 26 = 33001132129937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33001132130081) 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, 155840170 + ... + 156051788.

It is an arithmetic number, because the mean of its divisors is an integer number (600831504000).

Almost surely, 233001132130001 is an apocalyptic number.

It is an amenable number.

33001132130001 is a deficient number, since it is larger than the sum of its proper divisors (24678692253999).

33001132130001 is an equidigital number, since it uses as much as digits as its factorization.

33001132130001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213526 (or 213500 counting only the distinct ones).

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

Adding to 33001132130001 its reverse (10003123110033), we get a palindrome (43004255240034).

The spelling of 33001132130001 in words is "thirty-three trillion, one billion, one hundred thirty-two million, one hundred thirty thousand, one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 1029 1323 1701 1871 3087 3969 5613 9261 11907 13097 16839 27783 39291 50517 83349 91679 117873 151551 211619 275037 353619 454653 634857 641753 825111 1060857 1481333 1904571 1925259 2475333 3182571 4443999 5713713 5775777 7425999 10369331 13331997 17141139 17327331 22277997 31107993 39995991 51423417 51981993 72585317 93323979 119987973 155945979 217755951 279971937 359963919 395939149 653267853 839915811 1187817447 1959803559 2519747433 2771574043 3563452341 5879410677 8314722129 10690357023 17638232031 19401018301 24944166387 32071071069 58203054903 74832499161 96213213207 135807128107 174609164709 224497497483 407421384321 523827494127 673492492449 1222264152963 1571482482381 3666792458889 4714447447143 11000377376667 33001132130001