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87031211213349 = 3313433983582541
BaseRepresentation
bin10011110010011110001000…
…011011011100001000100101
3102102011002202202012220202000
4103302132020123130020211
542401404410032311344
6505033330402435513
724221540355246624
oct2362361033341045
9372132682186660
1087031211213349
1125804802915a87
129917294662b99
133974014772010
14176c4940436bb
15a0dd35264a69
hex4f27886dc225

87031211213349 has 64 divisors (see below), whose sum is σ = 139315711557120. Its totient is φ = 53379528975360.

The previous prime is 87031211213329. The next prime is 87031211213407. The reversal of 87031211213349 is 94331211213078.

87031211213349 is a `hidden beast` number, since 8 + 70 + 3 + 1 + 21 + 1 + 213 + 349 = 666.

It is not a de Polignac number, because 87031211213349 - 29 = 87031211212837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87031211213329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149108019 + ... + 149690559.

It is an arithmetic number, because the mean of its divisors is an integer number (2176807993080).

Almost surely, 287031211213349 is an apocalyptic number.

It is an amenable number.

87031211213349 is a deficient number, since it is larger than the sum of its proper divisors (52284500343771).

87031211213349 is a wasteful number, since it uses less digits than its factorization.

87031211213349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583979 (or 583973 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 87031211213349 in words is "eighty-seven trillion, thirty-one billion, two hundred eleven million, two hundred thirteen thousand, three hundred forty-nine".

Divisors: 1 3 9 13 27 39 117 351 433 983 1299 2949 3897 5629 8847 11691 12779 16887 26541 38337 50661 115011 151983 345033 425639 582541 1276917 1747623 3830751 5242869 5533307 7573033 11492253 15728607 16599921 22719099 49799763 68157297 149399289 204471891 252240253 572637803 756720759 1717913409 2270162277 3279123289 5153740227 6810486831 7444291439 9837369867 15461220681 22332874317 29512109601 66998622951 88536328803 200995868853 247952168699 743856506097 2231569518291 3223378193087 6694708554873 9670134579261 29010403737783 87031211213349