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1030413100 = 2252671131361
BaseRepresentation
bin111101011010101…
…101101100101100
32122210220102001011
4331122231230230
54102241204400
6250125155004
734351236553
oct7532555454
92583812034
101030413100
11489706682
122490bba64
131356281c2
149abc6d9a
15606dc8ba
hex3d6adb2c

1030413100 has 72 divisors (see below), whose sum is σ = 2291134608. Its totient is φ = 402124800.

The previous prime is 1030413089. The next prime is 1030413113. The reversal of 1030413100 is 13140301.

It is a super-2 number, since 2×10304131002 = 2123502313303220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756420 + ... + 757780.

It is an arithmetic number, because the mean of its divisors is an integer number (31821314).

Almost surely, 21030413100 is an apocalyptic number.

1030413100 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 1030413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145567304).

1030413100 is an abundant number, since it is smaller than the sum of its proper divisors (1260721508).

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

1030413100 is a wasteful number, since it uses less digits than its factorization.

1030413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1030413100 is about 32100.0482865680. The cubic root of 1030413100 is about 1010.0366290673.

Adding to 1030413100 its reverse (13140301), we get a palindrome (1043553401).

The spelling of 1030413100 in words is "one billion, thirty million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 113 134 226 268 335 452 565 670 1130 1340 1361 1675 2260 2722 2825 3350 5444 5650 6700 6805 7571 11300 13610 15142 27220 30284 34025 37855 68050 75710 91187 136100 151420 153793 182374 189275 307586 364748 378550 455935 615172 757100 768965 911870 1537930 1823740 2279675 3075860 3844825 4559350 7689650 9118700 10304131 15379300 20608262 41216524 51520655 103041310 206082620 257603275 515206550 1030413100