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1231031424 = 2737538641
BaseRepresentation
bin100100101100000…
…0000110010000000
310011210101212122110
41021120000302000
510010121001144
6322053135320
742335410620
oct11130006200
93153355573
101231031424
11581981147
122a432a540
1316806aa7c
14b96ca880
157311a0b9
hex49600c80

1231031424 has 128 divisors (see below), whose sum is σ = 3808010880. Its totient is φ = 345047040.

The previous prime is 1231031381. The next prime is 1231031429. The reversal of 1231031424 is 4241301321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1231031424.

It is not an unprimeable number, because it can be changed into a prime (1231031429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138144 + ... + 146784.

It is an arithmetic number, because the mean of its divisors is an integer number (29750085).

Almost surely, 21231031424 is an apocalyptic number.

1231031424 is a gapful number since it is divisible by the number (14) 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 1231031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904005440).

1231031424 is an abundant number, since it is smaller than the sum of its proper divisors (2576979456).

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

1231031424 is an equidigital number, since it uses as much as digits as its factorization.

1231031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1231031424 is about 35086.0574017657. The cubic root of 1231031424 is about 1071.7406738872.

Adding to 1231031424 its reverse (4241301321), we get a palindrome (5472332745).

It can be divided in two parts, 12310 and 31424, that added together give a palindrome (43734).

The spelling of 1231031424 in words is "one billion, two hundred thirty-one million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 848 896 1113 1272 1344 1484 1696 2226 2544 2688 2968 3392 4452 5088 5936 6784 8641 8904 10176 11872 17282 17808 20352 23744 25923 34564 35616 47488 51846 60487 69128 71232 103692 120974 138256 142464 181461 207384 241948 276512 362922 414768 457973 483896 553024 725844 829536 915946 967792 1106048 1373919 1451688 1659072 1831892 1935584 2747838 2903376 3205811 3318144 3663784 3871168 5495676 5806752 6411622 7327568 7742336 9617433 10991352 11613504 12823244 14655136 19234866 21982704 23227008 25646488 29310272 38469732 43965408 51292976 58620544 76939464 87930816 102585952 153878928 175861632 205171904 307757856 410343808 615515712 1231031424