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10132020030 = 235112310113217
BaseRepresentation
bin10010110111110101…
…00101101100111110
3222011010011221120010
421123322211230332
5131222244120110
64353220204050
7506036514666
oct113372455476
928133157503
1010132020030
11432a296680
121b69239626
13c56162532
146c18cb1a6
153e478a020
hex25bea5b3e

10132020030 has 128 divisors (see below), whose sum is σ = 27957021696. Its totient is φ = 2326016000.

The previous prime is 10132020001. The next prime is 10132020037. The reversal of 10132020030 is 3002023101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10132019988 and 10132020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132020037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759982 + ... + 773198.

It is an arithmetic number, because the mean of its divisors is an integer number (218414232).

Almost surely, 210132020030 is an apocalyptic number.

10132020030 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 10132020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13978510848).

10132020030 is an abundant number, since it is smaller than the sum of its proper divisors (17825001666).

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

10132020030 is a wasteful number, since it uses less digits than its factorization.

10132020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13362.

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

Adding to 10132020030 its reverse (3002023101), we get a palindrome (13134043131).

The spelling of 10132020030 in words is "ten billion, one hundred thirty-two million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 101 110 115 138 165 202 230 253 303 330 345 505 506 606 690 759 1010 1111 1265 1515 1518 2222 2323 2530 3030 3333 3795 4646 5555 6666 6969 7590 11110 11615 13217 13938 16665 23230 25553 26434 33330 34845 39651 51106 66085 69690 76659 79302 127765 132170 145387 153318 198255 255530 290774 303991 383295 396510 436161 607982 726935 766590 872322 911973 1334917 1453870 1519955 1823946 2180805 2669834 3039910 3343901 4004751 4361610 4559865 6674585 6687802 8009502 9119730 10031703 13349170 14684087 16719505 20023755 20063406 29368174 30703091 33439010 40047510 44052261 50158515 61406182 73420435 88104522 92109273 100317030 146840870 153515455 184218546 220261305 307030910 337734001 440522610 460546365 675468002 921092730 1013202003 1688670005 2026404006 3377340010 5066010015 10132020030