Search a number
-
+
13310211001131 = 32112372411370687
BaseRepresentation
bin1100000110110000011001…
…1001100000101100101011
31202010102222111020011021200
43001230012121200230223
53221033303004014011
644150343154535243
72542426302532452
oct301540631405453
952112874204250
1013310211001131
114271913128300
1215ab736897523
137571bc110c15
14340309333b99
151813684d2856
hexc1b06660b2b

13310211001131 has 72 divisors (see below), whose sum is σ = 21793780200192. Its totient is φ = 7816199846400.

The previous prime is 13310211001127. The next prime is 13310211001187. The reversal of 13310211001131 is 13110011201331.

13310211001131 is a `hidden beast` number, since 13 + 310 + 211 + 0 + 0 + 1 + 131 = 666.

It is not a de Polignac number, because 13310211001131 - 22 = 13310211001127 is a prime.

It is a super-2 number, since 2×133102110011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310211001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9025270 + ... + 10395956.

Almost surely, 213310211001131 is an apocalyptic number.

13310211001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310211001131 is a deficient number, since it is larger than the sum of its proper divisors (8483569199061).

13310211001131 is a wasteful number, since it uses less digits than its factorization.

13310211001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370993 (or 1370979 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13310211001131 its reverse (13110011201331), we get a palindrome (26420222202462).

The spelling of 13310211001131 in words is "thirteen trillion, three hundred ten billion, two hundred eleven million, one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 121 241 333 363 407 723 1089 1221 2169 2651 3663 4477 7953 8917 13431 23859 26751 29161 40293 80253 87483 98087 262449 294261 882783 1078957 1370687 3236871 4112061 9710613 12336183 15077557 45232671 50715419 135698013 152146257 165853127 330335567 456438771 497559381 557869609 991006701 1492678143 1673608827 2973020103 3633691237 5020826481 6136565699 10901073711 12222415979 18409697097 32703221133 36667247937 39970603607 55229091291 110001743811 119911810821 134446575769 359735432463 403339727307 1210019181921 1478912333459 4436737000377 13310211001131