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1011011061012 = 2233831169918803
BaseRepresentation
bin11101011011001001111…
…01001000010100010100
310120122121002200021120120
432231210331020110110
5113031022312423022
62052241351431540
7133020540140511
oct16554475102424
93518532607516
101011011061012
1135a849429017
12143b356855b0
1374451596964
1436d0c996308
151b47328cd5c
hexeb64f48514

1011011061012 has 48 divisors (see below), whose sum is σ = 2365513113600. Its totient is φ = 336077176288.

The previous prime is 1011011061001. The next prime is 1011011061013. The reversal of 1011011061012 is 2101601101101.

It is a junction number, because it is equal to n+sod(n) for n = 1011011060982 and 1011011061000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011011061013) 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 15 ways as a sum of consecutive naturals, for example, 53759203 + ... + 53778005.

It is an arithmetic number, because the mean of its divisors is an integer number (49281523200).

Almost surely, 21011011061012 is an apocalyptic number.

1011011061012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011011061012 is an abundant number, since it is smaller than the sum of its proper divisors (1354502052588).

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

1011011061012 is a wasteful number, since it uses less digits than its factorization.

1011011061012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30890 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1011011061012 its reverse (2101601101101), we get a palindrome (3112612162113).

The spelling of 1011011061012 in words is "one trillion, eleven billion, eleven million, sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 383 766 1149 1532 2298 4596 11699 18803 23398 35097 37606 46796 56409 70194 75212 112818 140388 225636 4480717 7201549 8961434 13442151 14403098 17922868 21604647 26884302 28806196 43209294 53768604 86418588 219976297 439952594 659928891 879905188 1319857782 2639715564 84250921751 168501843502 252752765253 337003687004 505505530506 1011011061012