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985001011001112 = 2337377115714215681
BaseRepresentation
bin1101111111110110100110101…
…1010111010011011100011000
311210011121011210001012002102010
43133331221223113103130120
52013101224032304013422
613410531114555105520
7414321655202253120
oct33775515327233430
94704534701162363
10985001011001112
11265940645872176
12925839657422a0
1333380273427501
14135344363b3c80
1578d220b7dcb0c
hex37fda6b5d3718

985001011001112 has 256 divisors, whose sum is σ = 2949728995399680. Its totient is φ = 268246469836800.

The previous prime is 985001011001089. The next prime is 985001011001143. The reversal of 985001011001112 is 211100110100589.

It is a self number, because there is not a number n which added to its sum of digits gives 985001011001112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62181912 + ... + 76397592.

It is an arithmetic number, because the mean of its divisors is an integer number (11522378888280).

Almost surely, 2985001011001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985001011001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474864497699840).

985001011001112 is an abundant number, since it is smaller than the sum of its proper divisors (1964727984398568).

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

985001011001112 is a wasteful number, since it uses less digits than its factorization.

985001011001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215962 (or 14215958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 30.

The spelling of 985001011001112 in words is "nine hundred eighty-five trillion, one billion, eleven million, one thousand, one hundred twelve".