Search a number
-
+
12302100030 = 23511375917077
BaseRepresentation
bin10110111010100001…
…10010011000111110
31011202100120102200110
423131100302120332
5200143314200110
65352420410450
7613600060563
oct133520623076
934670512613
1012302100030
11524323a920
122473b46a26
13121091943c
14849bba86a
154c0046a20
hex2dd43263e

12302100030 has 128 divisors (see below), whose sum is σ = 33642293760. Its totient is φ = 2852375040.

The previous prime is 12302100029. The next prime is 12302100053. The reversal of 12302100030 is 3000120321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12302099979 and 12302100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711852 + ... + 728928.

It is an arithmetic number, because the mean of its divisors is an integer number (262830420).

Almost surely, 212302100030 is an apocalyptic number.

12302100030 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 12302100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821146880).

12302100030 is an abundant number, since it is smaller than the sum of its proper divisors (21340193730).

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

12302100030 is a wasteful number, since it uses less digits than its factorization.

12302100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17194.

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

Adding to 12302100030 its reverse (3000120321), we get a palindrome (15302220351).

The spelling of 12302100030 in words is "twelve billion, three hundred two million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 59 66 74 110 111 118 165 177 185 222 295 330 354 370 407 555 590 649 814 885 1110 1221 1298 1770 1947 2035 2183 2442 3245 3894 4070 4366 6105 6490 6549 9735 10915 12210 13098 17077 19470 21830 24013 32745 34154 48026 51231 65490 72039 85385 102462 120065 144078 170770 187847 240130 256155 360195 375694 512310 563541 631849 720390 939235 1007543 1127082 1263698 1878470 1895547 2015086 2817705 3022629 3159245 3791094 5037715 5635410 6045258 6318490 6950339 9477735 10075430 11082973 13900678 15113145 18955470 20851017 22165946 30226290 33248919 34751695 37279091 41702034 55414865 66497838 69503390 74558182 104255085 110829730 111837273 166244595 186395455 208510170 223674546 332489190 372790910 410070001 559186365 820140002 1118372730 1230210003 2050350005 2460420006 4100700010 6151050015 12302100030