Search a number
-
+
11220002220012 = 22341167607224969
BaseRepresentation
bin1010001101000101110000…
…1111110010011111101100
31110201121210020122102100020
42203101130033302133230
52432312031032020022
635510221534402140
72235422054201505
oct243213417623754
943647706572306
1011220002220012
113636415826053
121312618060350
13635070717471
142ab09dd59bac
15146cd0b8735c
hexa345c3f27ec

11220002220012 has 96 divisors (see below), whose sum is σ = 27023698759680. Its totient is φ = 3620940948480.

The previous prime is 11220002219977. The next prime is 11220002220019. The reversal of 11220002220012 is 21002220002211.

It is a junction number, because it is equal to n+sod(n) for n = 11220002219973 and 11220002220000.

It is not an unprimeable number, because it can be changed into a prime (11220002220019) 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, 49761064 + ... + 49986032.

It is an arithmetic number, because the mean of its divisors is an integer number (281496862080).

Almost surely, 211220002220012 is an apocalyptic number.

11220002220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220002220012 is an abundant number, since it is smaller than the sum of its proper divisors (15803696539668).

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

11220002220012 is a wasteful number, since it uses less digits than its factorization.

11220002220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225791 (or 225789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11220002220012 its reverse (21002220002211), we get a palindrome (32222222222223).

The spelling of 11220002220012 in words is "eleven trillion, two hundred twenty billion, two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 167 246 334 492 501 607 668 1002 1214 1821 2004 2428 3642 6847 7284 13694 20541 24887 27388 41082 49774 74661 82164 99548 101369 149322 202738 224969 298644 304107 405476 449938 608214 674907 899876 1216428 1349814 2699628 4156129 8312258 9223729 12468387 16624516 18447458 24936774 27671187 36894916 37569823 49873548 55342374 75139646 110684748 112709469 136556183 150279292 225418938 273112366 409668549 450837876 546224732 819337098 1540362743 1638674196 3080725486 4621088229 5598803503 6161450972 9242176458 11197607006 16796410509 18484352916 22395214012 22804882561 33592821018 45609765122 67185642036 68414647683 91219530244 136829295366 273658590732 935000185001 1870000370002 2805000555003 3740000740004 5610001110006 11220002220012