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101010482496 = 263271121719641
BaseRepresentation
bin101111000010010110…
…0011010010101000000
3100122201121001011122100
41132010230122111000
53123332140414441
6114223101110400
710204063635420
oct1360454322500
9318647034570
10101010482496
1139924869600
12176b0258400
1396a9c79c91
144c6333a480
152962cdbcb6
hex1784b1a540

101010482496 has 1008 divisors, whose sum is σ = 406000183680. Its totient is φ = 23357030400.

The previous prime is 101010482471. The next prime is 101010482497. The reversal of 101010482496 is 694284010101.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101010482496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010482497) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157582336 + ... + 157582976.

It is an arithmetic number, because the mean of its divisors is an integer number (402777960).

Almost surely, 2101010482496 is an apocalyptic number.

101010482496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203000091840).

101010482496 is an abundant number, since it is smaller than the sum of its proper divisors (304989701184).

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

101010482496 is a wasteful number, since it uses less digits than its factorization.

101010482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 101010482496 its reverse (694284010101), we get a palindrome (795294492597).

The spelling of 101010482496 in words is "one hundred one billion, ten million, four hundred eighty-two thousand, four hundred ninety-six".