Search a number
-
+
1122100210011 = 311371951471041
BaseRepresentation
bin10000010101000010011…
…000100110100101011011
310222021100002111202111110
4100111002120212211123
5121341030123210021
62215252525431403
7144032455261464
oct20250230464533
93867302452443
101122100210011
113a2975351970
1216157910b563
1381a76615511
143c44a691d6b
151e2c5cc6476
hex1054262695b

1122100210011 has 32 divisors (see below), whose sum is σ = 1677120546816. Its totient is φ = 661340160000.

The previous prime is 1122100209983. The next prime is 1122100210013. The reversal of 1122100210011 is 1100120012211.

It is not a de Polignac number, because 1122100210011 - 26 = 1122100209947 is a prime.

It is a super-3 number, since 3×11221002100113 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122100210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146651 + ... + 2617691.

It is an arithmetic number, because the mean of its divisors is an integer number (52410017088).

Almost surely, 21122100210011 is an apocalyptic number.

1122100210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122100210011 is a deficient number, since it is larger than the sum of its proper divisors (555020336805).

1122100210011 is a wasteful number, since it uses less digits than its factorization.

1122100210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473043.

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

Adding to 1122100210011 its reverse (1100120012211), we get a palindrome (2222220222222).

The spelling of 1122100210011 in words is "one trillion, one hundred twenty-two billion, one hundred million, two hundred ten thousand, eleven".

Divisors: 1 3 11 33 37 111 407 1221 1951 5853 21461 64383 72187 216561 471041 794057 1413123 2382171 5181451 15544353 17428517 52285551 191713687 575141061 919000991 2757002973 10109010901 30327032703 34003036667 102009110001 374033403337 1122100210011