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1023124212 = 2232112349673
BaseRepresentation
bin111100111110111…
…010001011110100
32122022012002120100
4330332322023310
54043404433322
6245305034100
734232261265
oct7476721364
92568162510
101023124212
11485588400
12246785930
13133c75656
1499c4a96c
155ec4cdac
hex3cfba2f4

1023124212 has 108 divisors (see below), whose sum is σ = 2855097700. Its totient is φ = 308689920.

The previous prime is 1023124211. The next prime is 1023124229. The reversal of 1023124212 is 2124213201.

It is a happy number.

1023124212 is a `hidden beast` number, since 10 + 231 + 2 + 421 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 545876496 + 477247716 = 23364^2 + 21846^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023124211) 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 35 ways as a sum of consecutive naturals, for example, 1519908 + ... + 1520580.

Almost surely, 21023124212 is an apocalyptic number.

1023124212 is a gapful number since it is divisible by the number (12) 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 1023124212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427548850).

1023124212 is an abundant number, since it is smaller than the sum of its proper divisors (1831973488).

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

1023124212 is a wasteful number, since it uses less digits than its factorization.

1023124212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023124212 is about 31986.3128853577. The cubic root of 1023124212 is about 1007.6494080258.

Adding to 1023124212 its reverse (2124213201), we get a palindrome (3147337413).

It can be divided in two parts, 10231 and 24212, that added together give a palindrome (34443).

The spelling of 1023124212 in words is "one billion, twenty-three million, one hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 349 363 396 484 673 698 726 1047 1089 1346 1396 1452 2019 2094 2178 2692 3141 3839 4038 4188 4356 6057 6282 7403 7678 8076 11517 12114 12564 14806 15356 22209 23034 24228 29612 34551 42229 44418 46068 66627 69102 81433 84458 88836 126687 133254 138204 162866 168916 234877 244299 253374 266508 325732 380061 469754 488598 506748 704631 732897 760122 939508 977196 1409262 1465794 1520244 2113893 2583647 2818524 2931588 4227786 5167294 7750941 8455572 10334588 15501882 23252823 28420117 31003764 46505646 56840234 85260351 93011292 113680468 170520702 255781053 341041404 511562106 1023124212