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1011213203112 = 233377921011061
BaseRepresentation
bin11101011011100010000…
…00001111011010101000
310120200010012001011102000
432231301000033122220
5113031431034444422
62052313412211000
7133025543256210
oct16556100173250
93520105034360
101011213203112
1135a942544402
12143b91309a60
1374484420c78
1436d2b775240
151b485dbbcac
hexeb7100f6a8

1011213203112 has 384 divisors, whose sum is σ = 3286636819200. Its totient is φ = 282170304000.

The previous prime is 1011213203017. The next prime is 1011213203123. The reversal of 1011213203112 is 2113023121101.

1011213203112 is a `hidden beast` number, since 1 + 0 + 11 + 21 + 320 + 311 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953075062 + ... + 953076122.

It is an arithmetic number, because the mean of its divisors is an integer number (8558950050).

Almost surely, 21011213203112 is an apocalyptic number.

1011213203112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011213203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643318409600).

1011213203112 is an abundant number, since it is smaller than the sum of its proper divisors (2275423616088).

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

1011213203112 is a wasteful number, since it uses less digits than its factorization.

1011213203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1253 counting only the distinct ones).

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

Adding to 1011213203112 its reverse (2113023121101), we get a palindrome (3124236324213).

The spelling of 1011213203112 in words is "one trillion, eleven billion, two hundred thirteen million, two hundred three thousand, one hundred twelve".