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127022112392 = 23724723832
BaseRepresentation
bin111011001001100011…
…0111001111010001000
3110010212101111212210012
41312103012321322020
54040120130044032
6134204140411052
712114504066200
oct1662306717210
9403771455705
10127022112392
114996274209a
122074b546a88
13bc93c63066
14620dbbb400
1534866db6b2
hex1d931b9e88

127022112392 has 108 divisors (see below), whose sum is σ = 283811915655. Its totient is φ = 53140680096.

The previous prime is 127022112391. The next prime is 127022112409. The reversal of 127022112392 is 293211220721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 63511056196 + 63511056196 = 252014^2 + 252014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=252014.

It is a super-2 number, since 2×1270221123922 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127022112391) 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 26 ways as a sum of consecutive naturals, for example, 331650233 + ... + 331650615.

Almost surely, 2127022112392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127022112392

127022112392 is an abundant number, since it is smaller than the sum of its proper divisors (156789803263).

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

127022112392 is an frugal number, since it uses more digits than its factorization.

127022112392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Multiplying 127022112392 by its sum of digits (32), we get a square (4064707596544 = 20161122).

The spelling of 127022112392 in words is "one hundred twenty-seven billion, twenty-two million, one hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 383 392 658 766 1316 1532 2209 2303 2632 2681 3064 4418 4606 5362 8836 9212 10724 15463 17672 18001 18424 18767 21448 30926 36002 37534 61852 72004 75068 108241 123704 126007 144008 146689 150136 216482 252014 293378 432964 504028 586756 846047 865928 882049 1008056 1026823 1173512 1692094 1764098 2053646 3384188 3528196 4107292 5922329 6768376 6894383 7056392 7187761 8214584 11844658 13788766 14375522 23689316 27577532 28751044 41456303 47378632 48260681 55155064 57502088 82912606 96521362 165825212 193042724 324036001 331650424 337824767 386085448 648072002 675649534 1296144004 1351299068 2268252007 2592288008 2702598136 4536504014 9073008028 15877764049 18146016056 31755528098 63511056196 127022112392