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1001434130 = 25172373929
BaseRepresentation
bin111011101100001…
…010110000010010
32120210101010100222
4323230022300102
54022331343010
6243212113042
733550023014
oct7354126022
92523333328
101001434130
11474313314
1223b465782
1312c61cb98
14970021b4
155cdb6355
hex3bb0ac12

1001434130 has 48 divisors (see below), whose sum is σ = 1922053320. Its totient is φ = 375595008.

The previous prime is 1001434117. The next prime is 1001434151. The reversal of 1001434130 is 314341001.

It can be written as a sum of positive squares in 12 ways, for example, as 96687889 + 904746241 = 9833^2 + 30079^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1001434099 and 1001434108.

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, 1077506 + ... + 1078434.

Almost surely, 21001434130 is an apocalyptic number.

1001434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001434130 is a deficient number, since it is larger than the sum of its proper divisors (920619190).

1001434130 is a wasteful number, since it uses less digits than its factorization.

1001434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1001434130 is about 31645.4440638775. Note that the first 3 decimals coincide. The cubic root of 1001434130 is about 1000.4778149898.

Adding to 1001434130 its reverse (314341001), we get a palindrome (1315775131).

It can be divided in two parts, 10014 and 34130, that added together give a palindrome (44144).

The spelling of 1001434130 in words is "one billion, one million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 289 373 578 746 929 1445 1858 1865 2890 3730 4645 6341 9290 12682 15793 31586 31705 63410 78965 107797 157930 215594 268481 346517 536962 538985 693034 1077970 1342405 1732585 2684810 3465170 5890789 11781578 29453945 58907890 100143413 200286826 500717065 1001434130