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101405222240256 = 222321121492
BaseRepresentation
bin10111000011101000111110…
…010000000000000000000000
3111022001020121021212121122100
4113003220332100000000000
5101242410343343142011
6555400525504110400
730234166640123454
oct2703507620000000
9438036537777570
10101405222240256
112a346793364900
12b459017905400
1344776189519bc
141b08078c10664
15bacbb1134d56
hex5c3a3e400000

101405222240256 has 621 divisors, whose sum is σ = 324176702493553. Its totient is φ = 30522621296640.

The previous prime is 101405222240239. The next prime is 101405222240279. The reversal of 101405222240256 is 652042222504101.

The square root of 101405222240256 is 10070016.

It is a perfect power (a square), and thus also a powerful number.

101405222240256 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 522 + 2 + 2 + 40 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11880319942656 + 89524902297600 = 3446784^2 + 9461760^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101405222240256.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 680571961270 + ... + 680571961418.

Almost surely, 2101405222240256 is an apocalyptic number.

101405222240256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101405222240256 is the 10070016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101405222240256

101405222240256 is an abundant number, since it is smaller than the sum of its proper divisors (222771480253297).

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

101405222240256 is an frugal number, since it uses more digits than its factorization.

101405222240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

101405222240256 divided by its sum of digits (36) gives a square (2816811728896 = 16783362).

Adding to 101405222240256 its reverse (652042222504101), we get a palindrome (753447444744357).

The spelling of 101405222240256 in words is "one hundred one trillion, four hundred five billion, two hundred twenty-two million, two hundred forty thousand, two hundred fifty-six".