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201131300410425 = 325271141283153909
BaseRepresentation
bin101101101110110110000111…
…101101101101010000111001
3222101010222001010221102102100
4231232312013231231100321
5202330313400401113200
61551434235511254013
760236154060201120
oct5556660755552071
9871128033842370
10201131300410425
11590a533a665a30
121a68471567a309
13882c7a597bc68
143794b42122ab7
15183bd478dad00
hexb6ed87b6d439

201131300410425 has 144 divisors (see below), whose sum is σ = 460095655743360. Its totient is φ = 81548325504000.

The previous prime is 201131300410409. The next prime is 201131300410427. The reversal of 201131300410425 is 524014003131102.

201131300410425 is a `hidden beast` number, since 2 + 0 + 113 + 130 + 0 + 410 + 4 + 2 + 5 = 666.

It is not a de Polignac number, because 201131300410425 - 24 = 201131300410409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201131300410427) 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, 140866630 + ... + 142287279.

It is an arithmetic number, because the mean of its divisors is an integer number (3195108720440).

Almost surely, 2201131300410425 is an apocalyptic number.

201131300410425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201131300410425 is an abundant number, since it is smaller than the sum of its proper divisors (258964355332935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201131300410425 is a wasteful number, since it uses less digits than its factorization.

201131300410425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283153984 (or 283153976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 201131300410425 its reverse (524014003131102), we get a palindrome (725145303541527).

The spelling of 201131300410425 in words is "two hundred one trillion, one hundred thirty-one billion, three hundred million, four hundred ten thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 41 45 55 63 75 77 99 105 123 165 175 205 225 231 275 287 315 369 385 451 495 525 615 693 825 861 1025 1155 1353 1435 1575 1845 1925 2255 2475 2583 3075 3157 3465 4059 4305 5775 6765 7175 9225 9471 11275 12915 15785 17325 20295 21525 28413 33825 47355 64575 78925 101475 142065 236775 710325 283153909 849461727 1415769545 1982077363 2548385181 3114692999 4247308635 5946232089 7078847725 9344078997 9910386815 11609310269 12741925905 15573464995 17838696267 21236543175 21802850993 28032236991 29731160445 34827930807 46720394985 49551934075 58046551345 63709629525 65408552979 77867324975 81265171883 89193481335 104483792421 109014254965 127702412959 140161184955 148655802225 174139654035 196225658937 233601974925 243795515649 290232756725 327042764895 383107238877 406325859415 445967406675 522418962105 545071274825 638512064795 700805924775 731386546947 870698270175 893916890713 981128294685 1149321716631 1218977578245 1635213824475 1915536194385 2031629297075 2612094810525 2681750672139 3192560323975 3656932734735 4469584453565 4905641473425 5746608583155 6094887891225 8045252016417 9577680971925 13408753360695 18284663673675 22347922267825 28733042915775 40226260082085 67043766803475 201131300410425