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83122985127 = 3713231977789
BaseRepresentation
bin100110101101010000…
…1000001100010100111
321221112222120011012210
41031122201001202213
52330213441011002
6102104114014503
76001602500340
oct1153241014247
9257488504183
1083122985127
1132285838026
1214139877433
137ab9149c00
1440478370c7
15226775796c
hex135a8418a7

83122985127 has 96 divisors (see below), whose sum is σ = 143058800640. Its totient is φ = 41987911680.

The previous prime is 83122985081. The next prime is 83122985129. The reversal of 83122985127 is 72158922138.

It is not a de Polignac number, because 83122985127 - 27 = 83122984999 is a prime.

It is a super-2 number, since 2×831229851272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83122985129) 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, 10667949 + ... + 10675737.

It is an arithmetic number, because the mean of its divisors is an integer number (1490195840).

Almost surely, 283122985127 is an apocalyptic number.

83122985127 is a deficient number, since it is larger than the sum of its proper divisors (59935815513).

83122985127 is a wasteful number, since it uses less digits than its factorization.

83122985127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7940 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The spelling of 83122985127 in words is "eighty-three billion, one hundred twenty-two million, nine hundred eighty-five thousand, one hundred twenty-seven".

Divisors: 1 3 7 13 21 31 39 91 93 97 169 217 273 291 403 507 651 679 1183 1209 1261 2037 2821 3007 3549 3783 5239 7789 8463 8827 9021 15717 16393 21049 23367 26481 36673 39091 49179 54523 63147 101257 110019 114751 117273 163569 241459 273637 303771 344253 508183 708799 724377 755533 820911 1316341 1524549 1690213 2126397 2266599 3138967 3557281 3949023 5070639 5288731 9214387 9416901 9821929 10671843 15866193 21972769 23421523 27643161 29465787 40806571 65918307 68753503 70264569 122419713 127685077 163950661 206260509 285645997 304479799 383055231 491851983 856937991 893795539 913439397 2131358593 2681386617 3958237387 6394075779 11874712161 27707661709 83122985127