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2123126424 = 2333192917839
BaseRepresentation
bin111111010001100…
…0101011010011000
312110222000222221000
41332203011122120
513322010021144
6550401545000
7103420163646
oct17643053230
95428028830
102123126424
1199a4a4341
124b3045160
1327ab27333
14161d8a196
15c65d4769
hex7e8c5698

2123126424 has 128 divisors (see below), whose sum is σ = 6422400000. Its totient is φ = 647305344.

The previous prime is 2123126407. The next prime is 2123126429. The reversal of 2123126424 is 4246213212.

2123126424 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 12 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123126429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110097 + ... + 127935.

It is an arithmetic number, because the mean of its divisors is an integer number (50175000).

Almost surely, 22123126424 is an apocalyptic number.

2123126424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123126424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211200000).

2123126424 is an abundant number, since it is smaller than the sum of its proper divisors (4299273576).

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

2123126424 is a wasteful number, since it uses less digits than its factorization.

2123126424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17902 (or 17892 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2123126424 is about 46077.3960201746. The cubic root of 2123126424 is about 1285.2628417601.

Adding to 2123126424 its reverse (4246213212), we get a palindrome (6369339636).

The spelling of 2123126424 in words is "two billion, one hundred twenty-three million, one hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 87 108 114 116 152 171 174 216 228 232 261 342 348 456 513 522 551 684 696 783 1026 1044 1102 1368 1566 1653 2052 2088 2204 3132 3306 4104 4408 4959 6264 6612 9918 13224 14877 17839 19836 29754 35678 39672 53517 59508 71356 107034 119016 142712 160551 214068 321102 338941 428136 481653 517331 642204 677882 963306 1016823 1034662 1284408 1355764 1551993 1926612 2033646 2069324 2711528 3050469 3103986 3853224 4067292 4138648 4655979 6100938 6207972 8134584 9151407 9311958 9829289 12201876 12415944 13967937 18302814 18623916 19658578 24403752 27935874 29487867 36605628 37247832 39317156 55871748 58975734 73211256 78634312 88463601 111743496 117951468 176927202 235902936 265390803 353854404 530781606 707708808 1061563212 2123126424