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101049228480 = 26356711313903
BaseRepresentation
bin101111000011100000…
…0001101110011000000
3100122211021221200010210
41132013000031303000
53123422100302410
6114231003354120
710205044161444
oct1360700156300
9318737850123
10101049228480
1139944722a82
1217701222940
1396b4cc4ab5
144c68544824
1529663e2220
hex178700dcc0

101049228480 has 224 divisors, whose sum is σ = 328525046784. Its totient is φ = 26307477504.

The previous prime is 101049228383. The next prime is 101049228481. The reversal of 101049228480 is 84822940101.

101049228480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1010492284804 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101049228481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7261209 + ... + 7275111.

Almost surely, 2101049228480 is an apocalyptic number.

101049228480 is a gapful number since it is divisible by the number (10) 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 101049228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164262523392).

101049228480 is an abundant number, since it is smaller than the sum of its proper divisors (227475818304).

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

101049228480 is a wasteful number, since it uses less digits than its factorization.

101049228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 101049228480 in words is "one hundred one billion, forty-nine million, two hundred twenty-eight thousand, four hundred eighty".