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1011123031212 = 223375303252209
BaseRepresentation
bin11101011011010111010…
…00010000110010101100
310120122212220100221211000
432231223220100302230
5113031234443444322
62052300431400300
7133023366646320
oct16555350206254
93518786327730
101011123031212
1135a8a6655978
12143b67083090
137446b83ba08
1436d1d7c1980
151b47d0093ac
hexeb6ba10cac

1011123031212 has 96 divisors (see below), whose sum is σ = 2996496921600. Its totient is φ = 288836672256.

The previous prime is 1011123031211. The next prime is 1011123031213. The reversal of 1011123031212 is 2121303211101.

1011123031212 is a `hidden beast` number, since 1 + 0 + 111 + 230 + 312 + 12 = 666.

1011123031212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1011123031211) and next prime (1011123031213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011123031211) 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, 3882964 + ... + 4135172.

It is an arithmetic number, because the mean of its divisors is an integer number (31213509600).

Almost surely, 21011123031212 is an apocalyptic number.

1011123031212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011123031212 is an abundant number, since it is smaller than the sum of its proper divisors (1985373890388).

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

1011123031212 is a wasteful number, since it uses less digits than its factorization.

1011123031212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257532 (or 257524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011123031212 its reverse (2121303211101), we get a palindrome (3132426242313).

The spelling of 1011123031212 in words is "one trillion, eleven billion, one hundred twenty-three million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 5303 10606 15909 21212 31818 37121 47727 63636 74242 95454 111363 143181 148484 190908 222726 252209 286362 334089 445452 504418 572724 668178 756627 1002267 1008836 1336356 1513254 1765463 2004534 2269881 3026508 3530926 4009068 4539762 5296389 6809643 7061852 9079524 10592778 13619286 15889167 21185556 27238572 31778334 47667501 63556668 95335002 190670004 1337464327 2674928654 4012392981 5349857308 8024785962 9362250289 12037178943 16049571924 18724500578 24074357886 28086750867 36111536829 37449001156 48148715772 56173501734 72223073658 84260252601 112347003468 144446147316 168520505202 252780757803 337041010404 505561515606 1011123031212