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1031142060 = 2232513676577
BaseRepresentation
bin111101011101011…
…111101010101100
32122212021102222200
4331131133222230
54102433021220
6250152541500
734360364034
oct7535375254
92585242880
101031142060
1148a064323
122493b1890
13135821c40
149ad368c4
15607d3890
hex3d75faac

1031142060 has 144 divisors (see below), whose sum is σ = 3419191776. Its totient is φ = 249993216.

The previous prime is 1031142053. The next prime is 1031142097. The reversal of 1031142060 is 602411301.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153492 + ... + 160068.

Almost surely, 21031142060 is an apocalyptic number.

1031142060 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 1031142060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709595888).

1031142060 is an abundant number, since it is smaller than the sum of its proper divisors (2388049716).

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

1031142060 is a wasteful number, since it uses less digits than its factorization.

1031142060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1031142060 is about 32111.4007791625. The cubic root of 1031142060 is about 1010.2747545157.

Adding to 1031142060 its reverse (602411301), we get a palindrome (1633553361).

The spelling of 1031142060 in words is "one billion, thirty-one million, one hundred forty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 67 78 90 117 130 134 156 180 195 201 234 260 268 335 390 402 468 585 603 670 780 804 871 1005 1170 1206 1340 1742 2010 2340 2412 2613 3015 3484 4020 4355 5226 6030 6577 7839 8710 10452 12060 13065 13154 15678 17420 19731 26130 26308 31356 32885 39195 39462 52260 59193 65770 78390 78924 85501 98655 118386 131540 156780 171002 197310 236772 256503 295965 342004 394620 427505 440659 513006 591930 769509 855010 881318 1026012 1183860 1282515 1321977 1539018 1710020 1762636 2203295 2565030 2643954 3078036 3847545 3965931 4406590 5130060 5287908 5728567 6609885 7695090 7931862 8813180 11457134 13219770 15390180 15863724 17185701 19829655 22914268 26439540 28642835 34371402 39659310 51557103 57285670 68742804 79318620 85928505 103114206 114571340 171857010 206228412 257785515 343714020 515571030 1031142060