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130203066 = 2374771929
BaseRepresentation
bin1111100001010…
…11110110111010
3100002000000000210
413300223312322
5231312444231
620530411550
73140464530
oct760536672
9302000023
10130203066
1167550544
1237730bb6
1320c8a046
1413414150
15b66da46
hex7c2bdba

130203066 has 64 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 35857920.

The previous prime is 130203061. The next prime is 130203071. The reversal of 130203066 is 660302031.

It is an interprime number because it is at equal distance from previous prime (130203061) and next prime (130203071).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130203061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139690 + ... + 140618.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2130203066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130203066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

130203066 is an abundant number, since it is smaller than the sum of its proper divisors (178348614).

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

130203066 is a wasteful number, since it uses less digits than its factorization.

130203066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 130203066 is about 11410.6558093740. The cubic root of 130203066 is about 506.8433316488.

Adding to 130203066 its reverse (660302031), we get a palindrome (790505097).

The spelling of 130203066 in words is "one hundred thirty million, two hundred three thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 47 71 94 141 142 213 282 329 426 497 658 929 987 994 1491 1858 1974 2787 2982 3337 5574 6503 6674 10011 13006 19509 20022 23359 39018 43663 46718 65959 70077 87326 130989 131918 140154 197877 261978 305641 395754 461713 611282 916923 923426 1385139 1833846 2770278 3100073 6200146 9300219 18600438 21700511 43401022 65101533 130203066