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2131011323001 = 3211291814439257
BaseRepresentation
bin11111000000101010001…
…011000100010001111001
321112201111211202121221100
4133000222023010101321
5234403302344314001
64310550104202013
7306650306243001
oct37005213042171
97481454677840
102131011323001
11751836377950
122a5007469309
13125c51b0bb82
14751da3b3001
153a674a0c586
hex1f02a2c4479

2131011323001 has 96 divisors (see below), whose sum is σ = 3501203771520. Its totient is φ = 1237164364800.

The previous prime is 2131011322949. The next prime is 2131011323003. The reversal of 2131011323001 is 1003231101312.

2131011323001 is a `hidden beast` number, since 21 + 310 + 1 + 1 + 32 + 300 + 1 = 666.

It is not a de Polignac number, because 2131011323001 - 217 = 2131011191929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131011323003) 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, 230200765 + ... + 230210021.

It is an arithmetic number, because the mean of its divisors is an integer number (36470872620).

Almost surely, 22131011323001 is an apocalyptic number.

It is an amenable number.

2131011323001 is a deficient number, since it is larger than the sum of its proper divisors (1370192448519).

2131011323001 is a wasteful number, since it uses less digits than its factorization.

2131011323001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9927 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2131011323001 its reverse (1003231101312), we get a palindrome (3134242424313).

It can be divided in two parts, 21310 and 11323001, that added together give a palindrome (11344311).

The spelling of 2131011323001 in words is "two trillion, one hundred thirty-one billion, eleven million, three hundred twenty-three thousand, one".

Divisors: 1 3 9 11 29 33 87 99 181 261 319 443 543 957 1329 1629 1991 2871 3987 4873 5249 5973 9257 12847 14619 15747 17919 27771 38541 43857 47241 57739 80183 83313 101827 115623 141317 173217 240549 268453 305481 423951 519651 721647 805359 882013 916443 1271853 1675517 2325307 2416077 2646039 2952983 4100851 5026551 6975921 7938117 8858949 12302553 15079653 18430687 20927763 25578377 26576847 36907659 45109361 48589993 55292061 76735131 118924679 135328083 145769979 165876183 230205393 356774037 405984249 437309937 534489923 742254031 1070322111 1308171469 1603469769 2226762093 3924514407 4810409307 6680286279 8164794341 11773543221 21525366899 24494383023 64576100697 73483149069 193728302091 236779035889 710337107667 2131011323001