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1013110340 = 2251115130497
BaseRepresentation
bin111100011000101…
…101011001000100
32121121100100010012
4330120231121010
54033324012330
6244310245352
734051203314
oct7430553104
92547310105
101013110340
1147a968880
12243356858
13131b7a698
14987a1444
155de20c95
hex3c62d644

1013110340 has 48 divisors (see below), whose sum is σ = 2336390784. Its totient is φ = 365952000.

The previous prime is 1013110327. The next prime is 1013110361. The reversal of 1013110340 is 430113101.

It is a super-2 number, since 2×10131103402 = 2052785122029831200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17972 + ... + 48468.

It is an arithmetic number, because the mean of its divisors is an integer number (48674808).

Almost surely, 21013110340 is an apocalyptic number.

1013110340 is a gapful number since it is divisible by the number (10) 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 1013110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168195392).

1013110340 is an abundant number, since it is smaller than the sum of its proper divisors (1323280444).

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

1013110340 is a wasteful number, since it uses less digits than its factorization.

1013110340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30668 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1013110340 is about 31829.3942763603. The cubic root of 1013110340 is about 1004.3511533385.

Adding to 1013110340 its reverse (430113101), we get a palindrome (1443223441).

The spelling of 1013110340 in words is "one billion, thirteen million, one hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 30497 33220 60994 121988 152485 304970 335467 609940 670934 1341868 1677335 3354670 4605047 6709340 9210094 18420188 23025235 46050470 50655517 92100940 101311034 202622068 253277585 506555170 1013110340