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101481110721 = 321061872
BaseRepresentation
bin101111010000010111…
…1101101110011000001
3100200221101121120012100
41132200233231303001
53130313131020341
6114341512221013
710221540131364
oct1364057556301
9320841546170
10101481110721
113a046494551
121780199a769
13975361a013
144ca9a480db
15298e2a23b6
hex17a0bedcc1

101481110721 has 9 divisors (see below), whose sum is σ = 146585207041. Its totient is φ = 67653436692.

The previous prime is 101481110707. The next prime is 101481110741. The reversal of 101481110721 is 127011184101.

It is a happy number.

The square root of 101481110721 is 318561.

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

101481110721 is a `hidden beast` number, since 1 + 0 + 1 + 481 + 110 + 72 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 101481110721 - 213 = 101481102529 is a prime.

It is a super-2 number, since 2×1014811107212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101481110741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 902590 + ... + 1008776.

Almost surely, 2101481110721 is an apocalyptic number.

101481110721 is the 318561-st square number.

101481110721 is the 159281-st centered octagonal number.

It is an amenable number.

101481110721 is a deficient number, since it is larger than the sum of its proper divisors (45104096320).

101481110721 is an frugal number, since it uses more digits than its factorization.

101481110721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212380 (or 106190 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 101481110721 its reverse (127011184101), we get a palindrome (228492294822).

The spelling of 101481110721 in words is "one hundred one billion, four hundred eighty-one million, one hundred ten thousand, seven hundred twenty-one".

Divisors: 1 3 9 106187 318561 955683 11275678969 33827036907 101481110721