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2002101321231 = 32112195314912253
BaseRepresentation
bin11101001000100110100…
…010011011111000001111
321002101202212212000210100
4131020212202123320033
5230300300414234411
64131430323342143
7264434636304024
oct35104642337017
97071685760710
102002101321231
117020a5001600
1228402b821953
13116a499c570b
146cc8b9a154b
153712c706456
hex1d22689be0f

2002101321231 has 144 divisors (see below), whose sum is σ = 3432320892000. Its totient is φ = 1120181736960.

The previous prime is 2002101321223. The next prime is 2002101321247. The reversal of 2002101321231 is 1321231012002.

2002101321231 is a `hidden beast` number, since 200 + 210 + 1 + 3 + 21 + 231 = 666.

It is not a de Polignac number, because 2002101321231 - 23 = 2002101321223 is a prime.

It is a super-2 number, since 2×20021013212312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101321251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163390701 + ... + 163402953.

It is an arithmetic number, because the mean of its divisors is an integer number (23835561750).

Almost surely, 22002101321231 is an apocalyptic number.

2002101321231 is a deficient number, since it is larger than the sum of its proper divisors (1430219570769).

2002101321231 is a wasteful number, since it uses less digits than its factorization.

2002101321231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12502 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002101321231 its reverse (1321231012002), we get a palindrome (3323332333233).

The spelling of 2002101321231 in words is "two trillion, two billion, one hundred one million, three hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 19 33 53 57 99 121 149 159 171 209 363 447 477 583 627 1007 1089 1341 1639 1749 1881 2299 2831 3021 4917 5247 6413 6897 7897 8493 9063 11077 12253 14751 18029 19239 20691 23691 25479 31141 33231 36759 54087 57717 71073 86867 93423 99693 110277 121847 134783 150043 162261 232807 260601 280269 342551 365541 404349 450129 649409 698421 781803 955537 1027653 1096623 1213047 1350387 1482613 1650473 1825697 1948227 2095263 2560877 2866611 3082959 4447839 4951419 5477091 5844681 7143499 7682631 8599833 12338771 13343517 14854257 16431273 18155203 20082667 21430497 23047893 28169647 34688243 37016313 54465609 60248001 64291491 78578489 84508941 96761941 104064729 111048939 135726481 163396827 180744003 220909337 235735467 253526823 290285823 312194187 381570673 407179443 662728011 707206401 870857469 1064381351 1144712019 1221538329 1492991291 1838476879 1988184033 3193144053 3434136057 4197277403 4478973873 5515430637 9579432159 11708194861 12591832209 13436921619 16546291911 20223245669 35124584583 37775496627 60669737007 105373753749 182009211021 222455702359 667367107077 2002101321231