Search a number
-
+
1011010202112 = 2931813336299
BaseRepresentation
bin11101011011001001110…
…01110110101000000000
310120122121001001122101110
432231210321312220000
5113031022102431422
62052241321203320
7133020526632441
oct16554471665000
93518531048343
101011010202112
1135a8489a1789
12143b35330540
1374451355a31
1436d0c8112c8
151b47316d60c
hexeb64e76a00

1011010202112 has 80 divisors (see below), whose sum is σ = 2693617106400. Its totient is φ = 336975532032.

The previous prime is 1011010202077. The next prime is 1011010202117. The reversal of 1011010202112 is 2112020101101.

It is a super-3 number, since 3×10110102021123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1011010202117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27834139 + ... + 27870437.

It is an arithmetic number, because the mean of its divisors is an integer number (33670213830).

Almost surely, 21011010202112 is an apocalyptic number.

1011010202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011010202112 is an abundant number, since it is smaller than the sum of its proper divisors (1682606904288).

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

1011010202112 is an equidigital number, since it uses as much as digits as its factorization.

1011010202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54453 (or 54437 counting only the distinct ones).

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

Adding to 1011010202112 its reverse (2112020101101), we get a palindrome (3123030303213).

The spelling of 1011010202112 in words is "one trillion, eleven billion, ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 18133 36266 36299 54399 72532 72598 108798 108897 145064 145196 217596 217794 290128 290392 435192 435588 580256 580784 870384 871176 1160512 1161568 1740768 1742352 2321024 2323136 3481536 3484704 4642048 4646272 6963072 6969408 9284096 9292544 13926144 13938816 18585088 27852288 27877632 55755264 658209767 1316419534 1974629301 2632839068 3949258602 5265678136 7898517204 10531356272 15797034408 21062712544 31594068816 42125425088 63188137632 84250850176 126376275264 168501700352 252752550528 337003400704 505505101056 1011010202112