Search a number
-
+
12010020221010 = 235729187889309
BaseRepresentation
bin1010111011000100110011…
…1111010011000001010010
31120112010221221220001221010
42232301030333103001102
53033233010134033020
641313154354111350
72346460332333600
oct256611477230122
946463857801833
1012010020221010
11391046a350199
12141b75757b556
13691703639c46
142d74066c6870
1515c61c974de0
hexaec4cfd3052

12010020221010 has 96 divisors (see below), whose sum is σ = 33533703069120. Its totient is φ = 2744845584768.

The previous prime is 12010020220967. The next prime is 12010020221021. The reversal of 12010020221010 is 1012202001021.

12010020221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13060236 + ... + 13949544.

It is an arithmetic number, because the mean of its divisors is an integer number (349309406970).

Almost surely, 212010020221010 is an apocalyptic number.

12010020221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12010020221010 is an abundant number, since it is smaller than the sum of its proper divisors (21523682848110).

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

12010020221010 is a wasteful number, since it uses less digits than its factorization.

12010020221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898520 (or 898513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010020221010 its reverse (1012202001021), we get a palindrome (13022222222031).

The spelling of 12010020221010 in words is "twelve trillion, ten billion, twenty million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 9187 18374 27561 45935 55122 64309 91870 128618 137805 192927 275610 321545 385854 450163 643090 889309 900326 964635 1350489 1778618 1929270 2250815 2667927 2700978 4446545 4501630 5335854 6225163 6752445 8893090 12450326 13339635 13504890 18675489 26679270 31125815 37350978 43576141 62251630 87152282 93377445 130728423 186754890 217880705 261456846 435761410 653642115 1307284230 8170081783 16340163566 24510245349 40850408915 49020490698 57190572481 81700817830 114381144962 122551226745 171571717443 245102453490 285952862405 343143434886 400334007367 571905724810 800668014734 857858587215 1201002022101 1715717174430 2001670036835 2402004044202 4003340073670 6005010110505 12010020221010