Search a number
-
+
12010100011110 = 233587315094703
BaseRepresentation
bin1010111011000101000110…
…1111101011000001100110
31120112011011112000211101000
42232301101233223001212
53033233141100323420
641313210324214130
72346462321464025
oct256612157530146
946464145024330
1012010100011110
113910500398723
12141b77a23a346
13691717025916
142d74131368bc
1515c624986690
hexaec51beb066

12010100011110 has 64 divisors (see below), whose sum is σ = 32030607836160. Its totient is φ = 3202325889120.

The previous prime is 12010100011109. The next prime is 12010100011127. The reversal of 12010100011110 is 1111000101021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12010100011092 and 12010100011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189982 + ... + 4904721.

It is an arithmetic number, because the mean of its divisors is an integer number (500478247440).

Almost surely, 212010100011110 is an apocalyptic number.

12010100011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12010100011110 is an abundant number, since it is smaller than the sum of its proper divisors (20020507825050).

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

12010100011110 is a wasteful number, since it uses less digits than its factorization.

12010100011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103450 (or 5103444 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12010100011110 its reverse (1111000101021), we get a palindrome (13121100112131).

The spelling of 12010100011110 in words is "twelve trillion, ten billion, one hundred million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8731 17462 26193 43655 52386 78579 87310 130965 157158 235737 261930 392895 471474 785790 1178685 2357370 5094703 10189406 15284109 25473515 30568218 45852327 50947030 76420545 91704654 137556981 152841090 229261635 275113962 458523270 687784905 1375569810 44481851893 88963703786 133445555679 222409259465 266891111358 400336667037 444818518930 667227778395 800673334074 1201010001111 1334455556790 2001683335185 2402020002222 4003366670370 6005050005555 12010100011110