Search a number
-
+
10330022010 = 23571143103997
BaseRepresentation
bin10011001111011011…
…11010000001111010
3222122220202111012210
421213231322001322
5132123441201020
64425012115550
7513662511150
oct114755720172
928586674183
1010330022010
114421034480
122003605bb6
13c8819a279
146ddd0d3d0
15406d4c3e0
hex267b7a07a

10330022010 has 128 divisors (see below), whose sum is σ = 31628703744. Its totient is φ = 2096559360.

The previous prime is 10330022009. The next prime is 10330022029. The reversal of 10330022010 is 1022003301.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47332 + ... + 151328.

It is an arithmetic number, because the mean of its divisors is an integer number (247099248).

Almost surely, 210330022010 is an apocalyptic number.

10330022010 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 10330022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814351872).

10330022010 is an abundant number, since it is smaller than the sum of its proper divisors (21298681734).

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

10330022010 is a wasteful number, since it uses less digits than its factorization.

10330022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104068.

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

Adding to 10330022010 its reverse (1022003301), we get a palindrome (11352025311).

The spelling of 10330022010 in words is "ten billion, three hundred thirty million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 43 55 66 70 77 86 105 110 129 154 165 210 215 231 258 301 330 385 430 462 473 602 645 770 903 946 1155 1290 1419 1505 1806 2310 2365 2838 3010 3311 4515 4730 6622 7095 9030 9933 14190 16555 19866 33110 49665 99330 103997 207994 311991 519985 623982 727979 1039970 1143967 1455958 1559955 2183937 2287934 3119910 3431901 3639895 4367874 4471871 5719835 6863802 7279790 8007769 8943742 10919685 11439670 13415613 16015538 17159505 21839370 22359355 24023307 26831226 31303097 34319010 40038845 44718710 48046614 49190581 62606194 67078065 80077690 93909291 98381162 120116535 134156130 147571743 156515485 187818582 240233070 245952905 295143486 313030970 344334067 469546455 491905810 688668134 737858715 939092910 1033002201 1475717430 1721670335 2066004402 3443340670 5165011005 10330022010