Search a number
-
+
2011010112012 = 2231157749515333
BaseRepresentation
bin11101010000111001100…
…010110001101000001100
321010020202202022111021110
4131100321202301220030
5230422022042041022
64135502325532020
7265201463625006
oct35207142615014
97106682274243
102011010112012
11705956865a10
122858b7274010
131178395bc555
146d494c33376
153749e8b800c
hex1d4398b1a0c

2011010112012 has 96 divisors (see below), whose sum is σ = 5129803897344. Its totient is φ = 608103936000.

The previous prime is 2011010112011. The next prime is 2011010112017. The reversal of 2011010112012 is 2102110101102.

It is a super-2 number, since 2×20110101120122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2011010112011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377085298 + ... + 377090630.

It is an arithmetic number, because the mean of its divisors is an integer number (53435457264).

Almost surely, 22011010112012 is an apocalyptic number.

2011010112012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011010112012 is an abundant number, since it is smaller than the sum of its proper divisors (3118793785332).

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

2011010112012 is a wasteful number, since it uses less digits than its factorization.

2011010112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011010112012 its reverse (2102110101102), we get a palindrome (4113120213114).

The spelling of 2011010112012 in words is "two trillion, eleven billion, ten million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 577 1154 1731 2308 3462 4951 5333 6347 6924 9902 10666 12694 14853 15999 19041 19804 21332 25388 29706 31998 38082 54461 58663 59412 63996 76164 108922 117326 163383 175989 217844 234652 326766 351978 653532 703956 2856727 3077141 5713454 6154282 8570181 9231423 11426908 12308564 17140362 18462846 26403683 31423997 33848551 34280724 36925692 52807366 62847994 67697102 79211049 94271991 101545653 105614732 125695988 135394204 158422098 188543982 203091306 290440513 316844196 377087964 406182612 580881026 871321539 1161762052 1742643078 3485286156 15234925091 30469850182 45704775273 60939700364 91409550546 167584176001 182819101092 335168352002 502752528003 670336704004 1005505056006 2011010112012