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3003132122001 = 32112943103323549
BaseRepresentation
bin101011101100111000100…
…111111001001110010001
3101122002121102220120002200
4223230320213321032101
5343200403310401001
610215341515433413
7426653261566104
oct53547047711621
911562542816080
103003132122001
11a58691878360
1240603aa55869
1318a26a6c3a2b
14a54d0c9273b
15531b96d5086
hex2bb389f9391

3003132122001 has 96 divisors (see below), whose sum is σ = 5014296144000. Its totient is φ = 1714716380160.

The previous prime is 3003132121939. The next prime is 3003132122057. The reversal of 3003132122001 is 1002212313003.

It is not a de Polignac number, because 3003132122001 - 29 = 3003132121489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3003132122401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 127515175 + ... + 127538723.

It is an arithmetic number, because the mean of its divisors is an integer number (52232251500).

Almost surely, 23003132122001 is an apocalyptic number.

It is an amenable number.

3003132122001 is a deficient number, since it is larger than the sum of its proper divisors (2011164021999).

3003132122001 is a wasteful number, since it uses less digits than its factorization.

3003132122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24671 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3003132122001 its reverse (1002212313003), we get a palindrome (4005344435004).

The spelling of 3003132122001 in words is "three trillion, three billion, one hundred thirty-two million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 319 387 473 957 1033 1247 1419 2871 3099 3741 4257 9297 11223 11363 13717 23549 29957 34089 41151 44419 70647 89871 102267 123453 133257 211941 259039 269613 329527 399771 488609 682921 777117 988581 1012607 1288151 1465827 2048763 2331351 2965743 3037821 3864453 4397481 6146289 7512131 9113463 11138677 11593359 14169661 22536393 24326117 29365603 33416031 42508983 67609179 72978351 88096809 100248093 127526949 218935053 264290427 267587287 323021633 705457393 802761861 969064899 1046023031 2116372179 2408285583 2907194697 3138069093 6349116537 7760031323 9414207279 11506253341 23280093969 30334667899 34518760023 69840281907 91004003697 103556280069 273012011091 333681346889 1001044040667 3003132122001