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1030100034 = 232347241659
BaseRepresentation
bin111101011001100…
…001010001000010
32122210022111121010
4331121201101002
54102201200114
6250114341350
734345464045
oct7531412102
92583274533
101030100034
11489512447
12248b8a856
13135548862
149ab44c5c
1560679c59
hex3d661442

1030100034 has 64 divisors (see below), whose sum is σ = 2207969280. Its totient is φ = 319630080.

The previous prime is 1030100033. The next prime is 1030100041. The reversal of 1030100034 is 4300010301.

It is a super-2 number, since 2×10301000342 = 2122212160093602312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030099992 and 1030100019.

It is not an unprimeable number, because it can be changed into a prime (1030100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562797 + ... + 1563455.

It is an arithmetic number, because the mean of its divisors is an integer number (34499520).

Almost surely, 21030100034 is an apocalyptic number.

1030100034 is an abundant number, since it is smaller than the sum of its proper divisors (1177869246).

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

1030100034 is a wasteful number, since it uses less digits than its factorization.

1030100034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1030100034 is about 32095.1715060069. The cubic root of 1030100034 is about 1009.9343270046.

Adding to 1030100034 its reverse (4300010301), we get a palindrome (5330110335).

The spelling of 1030100034 in words is "one billion, thirty million, one hundred thousand, thirty-four".

Divisors: 1 2 3 6 23 46 47 69 94 138 141 241 282 482 659 723 1081 1318 1446 1977 2162 3243 3954 5543 6486 11086 11327 15157 16629 22654 30314 30973 33258 33981 45471 61946 67962 90942 92919 158819 185838 260521 317638 476457 521042 712379 781563 952914 1424758 1563126 2137137 3652837 4274274 7305674 7464493 10958511 14928986 21917022 22393479 44786958 171683339 343366678 515050017 1030100034