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1034312130 = 2325171275323
BaseRepresentation
bin111101101001100…
…101100111000010
32200002020111111200
4331221211213002
54104240442010
6250344522030
734426336155
oct7551454702
92602214450
101034312130
1149092a015
1224a480316
13136391b17
149b51dc9c
1560c0ccc0
hex3da659c2

1034312130 has 96 divisors (see below), whose sum is σ = 2870360064. Its totient is φ = 257499648.

The previous prime is 1034312129. The next prime is 1034312131. The reversal of 1034312130 is 312134301.

1034312130 is a `hidden beast` number, since 103 + 431 + 2 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (1034312129) and next prime (1034312131).

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

It is not an unprimeable number, because it can be changed into a prime (1034312131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191649 + ... + 196971.

It is an arithmetic number, because the mean of its divisors is an integer number (29899584).

Almost surely, 21034312130 is an apocalyptic number.

1034312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435180032).

1034312130 is an abundant number, since it is smaller than the sum of its proper divisors (1836047934).

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

1034312130 is a wasteful number, since it uses less digits than its factorization.

1034312130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1034312130 is about 32160.7234060430. The cubic root of 1034312130 is about 1011.3090010461.

Adding to 1034312130 its reverse (312134301), we get a palindrome (1346446431).

The spelling of 1034312130 in words is "one billion, thirty-four million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 127 153 170 254 255 306 381 510 635 762 765 1143 1270 1530 1905 2159 2286 3810 4318 5323 5715 6477 10646 10795 11430 12954 15969 19431 21590 26615 31938 32385 38862 47907 53230 64770 79845 90491 95814 97155 159690 180982 194310 239535 271473 452455 479070 542946 676021 814419 904910 1352042 1357365 1628838 2028063 2714730 3380105 4056126 4072095 6084189 6760210 8144190 10140315 11492357 12168378 20280630 22984714 30420945 34477071 57461785 60841890 68954142 103431213 114923570 172385355 206862426 344770710 517156065 1034312130