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99999999810 = 232517255725561
BaseRepresentation
bin101110100100001110…
…1101110011101000010
3100120010011122022222200
41131020131232131002
53114244444443220
6113534523014030
710140043654644
oct1351035563502
9316104568880
1099999999810
1139456435a47
121746996a316
13957880c629
144ba9060894
152904239890
hex174876e742

99999999810 has 96 divisors (see below), whose sum is σ = 275412554352. Its totient is φ = 25087242240.

The previous prime is 99999999769. The next prime is 99999999821. The reversal of 99999999810 is 1899999999.

It can be written as a sum of positive squares in 8 ways, for example, as 70679944449 + 29320055361 = 265857^2 + 171231^2 .

It is a super-2 number, since 2×999999998102 (a number of 23 digits) contains 22 as substring.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99999999810.

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 47 ways as a sum of consecutive naturals, for example, 3899430 + ... + 3924990.

Almost surely, 299999999810 is an apocalyptic number.

99999999810 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99999999810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137706277176).

99999999810 is an abundant number, since it is smaller than the sum of its proper divisors (175412554542).

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

99999999810 is a wasteful number, since it uses less digits than its factorization.

99999999810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28148 (or 28145 counting only the distinct ones).

The product of its (nonzero) digits is 344373768, while the sum is 81.

The spelling of 99999999810 in words is "ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2557 5114 7671 12785 15342 23013 25561 25570 38355 43469 46026 51122 76683 76710 86938 115065 127805 130407 153366 217345 230049 230130 255610 260814 383415 391221 434537 434690 460098 652035 766830 782442 869074 1150245 1303611 1304070 1956105 2172685 2300490 2607222 3910833 3912210 4345370 6518055 7821666 13036110 19554165 39108330 65359477 130718954 196078431 326797385 392156862 588235293 653594770 980392155 1111111109 1176470586 1960784310 2222222218 2941176465 3333333327 5555555545 5882352930 6666666654 9999999981 11111111090 16666666635 19999999962 33333333270 49999999905 99999999810