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1011077107004 = 2241149307134777
BaseRepresentation
bin11101011011010001110…
…01000100110100111100
310120122202200221202122102
432231220321010310330
5113031141214411004
62052252111204232
7133022301415436
oct16555071046474
93518680852572
101011077107004
1135a882739388
12143b53816678
137446217c823
1436d17669656
151b478e8711e
hexeb68e44d3c

1011077107004 has 48 divisors (see below), whose sum is σ = 1830662618400. Its totient is φ = 488298839040.

The previous prime is 1011077106959. The next prime is 1011077107009. The reversal of 1011077107004 is 4007017701101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011077107009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7434464 + ... + 7569240.

It is an arithmetic number, because the mean of its divisors is an integer number (38138804550).

Almost surely, 21011077107004 is an apocalyptic number.

It is an amenable number.

1011077107004 is a deficient number, since it is larger than the sum of its proper divisors (819585511396).

1011077107004 is a wasteful number, since it uses less digits than its factorization.

1011077107004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135278 (or 135276 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 29.

The spelling of 1011077107004 in words is "one trillion, eleven billion, seventy-seven million, one hundred seven thousand, four".

Divisors: 1 2 4 41 82 149 164 298 307 596 614 1228 6109 12218 12587 24436 25174 45743 50348 91486 134777 182972 269554 539108 1875463 3750926 5525857 7501852 11051714 20081773 22103428 40163546 41376539 80327092 82753078 165506156 823352693 1646705386 1696438099 3293410772 3392876198 6165104311 6785752396 12330208622 24660417244 252769276751 505538553502 1011077107004