Search a number
-
+
1132022100012 = 223294769211427
BaseRepresentation
bin10000011110010001110…
…001100111000000101100
311000012221120021222211220
4100132101301213000230
5122021340124200022
62224013242143340
7144533364041466
oct20362161470054
94005846258756
101132022100012
113a70a6a66761
12163487ab1b50
138299808494b
143cb0c2c1136
151e6a6da585c
hex10791c6702c

1132022100012 has 48 divisors (see below), whose sum is σ = 2790604776960. Its totient is φ = 356577266752.

The previous prime is 1132022099917. The next prime is 1132022100019. The reversal of 1132022100012 is 2100012202311.

It is a junction number, because it is equal to n+sod(n) for n = 1132022099964 and 1132022100000.

It is not an unprimeable number, because it can be changed into a prime (1132022100019) 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 15 ways as a sum of consecutive naturals, for example, 34589358 + ... + 34622069.

It is an arithmetic number, because the mean of its divisors is an integer number (58137599520).

Almost surely, 21132022100012 is an apocalyptic number.

1132022100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132022100012 is an abundant number, since it is smaller than the sum of its proper divisors (1658582676948).

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

1132022100012 is a wasteful number, since it uses less digits than its factorization.

1132022100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69211510 (or 69211508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1132022100012 its reverse (2100012202311), we get a palindrome (3232034302323).

The spelling of 1132022100012 in words is "one trillion, one hundred thirty-two billion, twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 1363 2726 4089 5452 8178 16356 69211427 138422854 207634281 276845708 415268562 830537124 2007131383 3252937069 4014262766 6021394149 6505874138 8028525532 9758811207 12042788298 13011748276 19517622414 24085576596 39035244828 94335175001 188670350002 283005525003 377340700004 566011050006 1132022100012