Search a number
-
+
1211100022000 = 24531155050001
BaseRepresentation
bin10001100111111011001…
…011111100010011110000
311021210001122100122121101
4101213323023330103300
5124320313101201000
62324212140334144
7153333121222141
oct21477313742360
94253048318541
101211100022000
114276964309a0
12176876b44354
138a28b162b6b
14428907d3ac8
1521784435e6a
hex119fb2fc4f0

1211100022000 has 80 divisors (see below), whose sum is σ = 3194661716064. Its totient is φ = 440400000000.

The previous prime is 1211100021979. The next prime is 1211100022009. The reversal of 1211100022000 is 2200011121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211100022009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27503001 + ... + 27547000.

Almost surely, 21211100022000 is an apocalyptic number.

1211100022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211100022000 is an abundant number, since it is smaller than the sum of its proper divisors (1983561694064).

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

1211100022000 is a wasteful number, since it uses less digits than its factorization.

1211100022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55050035 (or 55050019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1211100022000 its reverse (2200011121), we get a palindrome (1213300033121).

The spelling of 1211100022000 in words is "one trillion, two hundred eleven billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 55050001 110100002 220200004 275250005 440400008 550500010 605550011 880800016 1101000020 1211100022 1376250025 2202000040 2422200044 2752500050 3027750055 4404000080 4844400088 5505000100 6055500110 6881250125 9688800176 11010000200 12111000220 13762500250 15138750275 22020000400 24222000440 27525000500 30277500550 48444000880 55050001000 60555001100 75693751375 110100002000 121110002200 151387502750 242220004400 302775005500 605550011000 1211100022000