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1001421252 = 2233131494787
BaseRepresentation
bin111011101100000…
…111100111000100
32120210100110201000
4323230013213010
54022330440002
6243211533300
733546640326
oct7354074704
92523313630
101001421252
11474304677
1223b45a230
1312c617070
1496ddb616
155cdb261c
hex3bb079c4

1001421252 has 96 divisors (see below), whose sum is σ = 2815344000. Its totient is φ = 305997696.

The previous prime is 1001421251. The next prime is 1001421293. The reversal of 1001421252 is 2521241001.

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

It is not an unprimeable number, because it can be changed into a prime (1001421251) 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, 206803 + ... + 211589.

It is an arithmetic number, because the mean of its divisors is an integer number (29326500).

Almost surely, 21001421252 is an apocalyptic number.

1001421252 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 1001421252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672000).

1001421252 is an abundant number, since it is smaller than the sum of its proper divisors (1813922748).

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

1001421252 is a wasteful number, since it uses less digits than its factorization.

1001421252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1001421252 is about 31645.2405900161. The cubic root of 1001421252 is about 1000.4735264040.

Adding to 1001421252 its reverse (2521241001), we get a palindrome (3522662253).

The spelling of 1001421252 in words is "one billion, one million, four hundred twenty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 234 298 351 447 468 596 702 894 1341 1404 1788 1937 2682 3874 4023 4787 5364 5811 7748 8046 9574 11622 14361 16092 17433 19148 23244 28722 34866 43083 52299 57444 62231 69732 86166 104598 124462 129249 172332 186693 209196 248924 258498 373386 516996 560079 713263 746772 1120158 1426526 1680237 2139789 2240316 2853052 3360474 4279578 6419367 6720948 8559156 9272419 12838734 18544838 19258101 25677468 27817257 37089676 38516202 55634514 77032404 83451771 111269028 166903542 250355313 333807084 500710626 1001421252