Search a number
-
+
10212001230030 = 23561103533310159
BaseRepresentation
bin1001010010011010101010…
…1101001010110011001110
31100011020221220221120221220
42110212222231022303032
52314303134303330110
633415154551104210
72102535624150165
oct224465255126316
940136856846856
1010212001230030
113287981516a46
12118b1a2672066
13590cab950032
1427439906c3dc
1512a986ccc370
hex949aab4acce

10212001230030 has 128 divisors (see below), whose sum is σ = 25159629680640. Its totient is φ = 2651793845760.

The previous prime is 10212001230007. The next prime is 10212001230037. The reversal of 10212001230030 is 3003210021201.

10212001230030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 10212001229991 and 10212001230009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212001230037) 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, 1005212091 + ... + 1005222249.

It is an arithmetic number, because the mean of its divisors is an integer number (196559606880).

Almost surely, 210212001230030 is an apocalyptic number.

10212001230030 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 10212001230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579814840320).

10212001230030 is an abundant number, since it is smaller than the sum of its proper divisors (14947628450610).

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

10212001230030 is a wasteful number, since it uses less digits than its factorization.

10212001230030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10212001230030 its reverse (3003210021201), we get a palindrome (13215211251231).

The spelling of 10212001230030 in words is "ten trillion, two hundred twelve billion, one million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 103 122 183 206 305 309 366 515 610 618 915 1030 1545 1830 3090 5333 6283 10159 10666 12566 15999 18849 20318 26665 30477 31415 31998 37698 50795 53330 60954 62830 79995 94245 101590 152385 159990 188490 304770 325313 549299 619699 650626 975939 1046377 1098598 1239398 1626565 1647897 1859097 1951878 2092754 2746495 3098495 3139131 3253130 3295794 3718194 4879695 5231885 5492990 6196990 6278262 8239485 9295485 9759390 10463770 15695655 16478970 18590970 31391310 33507239 54177947 63828997 67014478 100521717 108355894 127657994 162533841 167536195 191486991 201043434 270889735 319144985 325067682 335072390 382973982 502608585 541779470 638289970 812669205 957434955 1005217170 1625338410 1914869910 3304854767 5580328541 6609709534 9914564301 11160657082 16524273835 16740985623 19829128602 27901642705 33048547670 33481971246 49572821505 55803285410 83704928115 99145643010 167409856230 340400041001 680800082002 1021200123003 1702000205005 2042400246006 3404000410010 5106000615015 10212001230030