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1013544252 = 22357181823
BaseRepresentation
bin111100011010010…
…111010100111100
32121122011101100000
4330122113110330
54033431404002
6244323434300
734054661340
oct7432272474
92548141300
101013544252
11480134886
12243525990
13131ca0036
1498875620
155dea961c
hex3c69753c

1013544252 has 144 divisors (see below), whose sum is σ = 3056947712. Its totient is φ = 287634240.

The previous prime is 1013544251. The next prime is 1013544253. The reversal of 1013544252 is 2524453101.

It is an interprime number because it is at equal distance from previous prime (1013544251) and next prime (1013544253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013544251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231113 + ... + 1231935.

Almost surely, 21013544252 is an apocalyptic number.

1013544252 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 1013544252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528473856).

1013544252 is an abundant number, since it is smaller than the sum of its proper divisors (2043403460).

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

1013544252 is a wasteful number, since it uses less digits than its factorization.

1013544252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1013544252 is about 31836.2097618419. The cubic root of 1013544252 is about 1004.4945196952.

Adding to 1013544252 its reverse (2524453101), we get a palindrome (3537997353).

The spelling of 1013544252 in words is "one billion, thirteen million, five hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 181 189 243 252 324 362 378 486 543 567 724 756 823 972 1086 1134 1267 1629 1646 1701 2172 2268 2469 2534 3258 3292 3402 3801 4887 4938 5068 5761 6516 6804 7407 7602 9774 9876 11403 11522 14661 14814 15204 17283 19548 22221 22806 23044 29322 29628 34209 34566 43983 44442 45612 51849 58644 66663 68418 69132 87966 88884 102627 103698 133326 136836 148963 155547 175932 199989 205254 207396 266652 297926 307881 311094 399978 410508 446889 466641 595852 615762 622188 799956 893778 933282 1042741 1231524 1340667 1399923 1787556 1866564 2085482 2681334 2799846 3128223 4022001 4170964 5362668 5599692 6256446 8044002 9384669 12066003 12512892 16088004 18769338 24132006 28154007 36198009 37538676 48264012 56308014 72396018 84462021 112616028 144792036 168924042 253386063 337848084 506772126 1013544252