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10018989981 = 33711133743233
BaseRepresentation
bin10010101010010110…
…11010011110011101
3221212020111102111000
421111023122132131
5131004330134411
64334101420513
7503165003220
oct112513323635
927766442430
1010018989981
114281505510
121b3740a739
13c38908c50
146b08a75b7
153d98ae956
hex2552da79d

10018989981 has 256 divisors, whose sum is σ = 21033492480. Its totient is φ = 4546160640.

The previous prime is 10018989979. The next prime is 10018989983. The reversal of 10018989981 is 18998981001.

It is an interprime number because it is at equal distance from previous prime (10018989979) and next prime (10018989983).

It is not a de Polignac number, because 10018989981 - 21 = 10018989979 is a prime.

It is a super-2 number, since 2×100189899812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018989983) 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 255 ways as a sum of consecutive naturals, for example, 42999841 + ... + 43000073.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 210018989981 is an apocalyptic number.

10018989981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10018989981 is an abundant number, since it is smaller than the sum of its proper divisors (11014502499).

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

10018989981 is a wasteful number, since it uses less digits than its factorization.

10018989981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 54.

It can be divided in two parts, 10018 and 989981, that added together give a palindrome (999999).

The spelling of 10018989981 in words is "ten billion, eighteen million, nine hundred eighty-nine thousand, nine hundred eighty-one".