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1013151348 = 2233117691109
BaseRepresentation
bin111100011000110…
…111011001110100
32121121102102101000
4330120313121310
54033331320343
6244311203300
734051434006
oct7430673164
92547372330
101013151348
1147a996670
12243376530
13131b93251
14987b2376
155de2ced3
hex3c637674

1013151348 has 96 divisors (see below), whose sum is σ = 2871792000. Its totient is φ = 306339840.

The previous prime is 1013151343. The next prime is 1013151361. The reversal of 1013151348 is 8431513101.

1013151348 is a `hidden beast` number, since 1 + 0 + 1 + 315 + 1 + 348 = 666.

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 (1013151343) 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 31 ways as a sum of consecutive naturals, for example, 913018 + ... + 914126.

It is an arithmetic number, because the mean of its divisors is an integer number (29914500).

Almost surely, 21013151348 is an apocalyptic number.

1013151348 is a gapful number since it is divisible by the number (18) 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 1013151348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435896000).

1013151348 is an abundant number, since it is smaller than the sum of its proper divisors (1858640652).

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

1013151348 is a wasteful number, since it uses less digits than its factorization.

1013151348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1013151348 is about 31830.0384542652. The cubic root of 1013151348 is about 1004.3647043062.

Adding to 1013151348 its reverse (8431513101), we get a palindrome (9444664449).

The spelling of 1013151348 in words is "one billion, thirteen million, one hundred fifty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 769 1109 1188 1538 2218 2307 3076 3327 4436 4614 6654 6921 8459 9228 9981 12199 13308 13842 16918 19962 20763 24398 25377 27684 29943 33836 36597 39924 41526 48796 50754 59886 73194 76131 83052 101508 109791 119772 146388 152262 219582 228393 304524 329373 439164 456786 658746 852821 913572 1317492 1705642 2558463 3411284 5116926 7675389 9381031 10233852 15350778 18762062 23026167 28143093 30701556 37524124 46052334 56286186 84429279 92104668 112572372 168858558 253287837 337717116 506575674 1013151348