Base | Representation |
---|---|
bin | 101111001011111001… |
… | …1001000101001111110 |
3 | 100200112221011202202200 |
4 | 1132113303020221332 |
5 | 3130011214342342 |
6 | 114314551132330 |
7 | 10215035251416 |
oct | 1362763105176 |
9 | 320487152680 |
10 | 101331012222 |
11 | 39a79795300 |
12 | 1777b6740a6 |
13 | 972b4b533b |
14 | 4c93b35646 |
15 | 298100394c |
hex | 1797cc8a7e |
101331012222 has 144 divisors (see below), whose sum is σ = 249823182336. Its totient is φ = 29638224000.
The previous prime is 101331012221. The next prime is 101331012253. The reversal of 101331012222 is 222210133101.
101331012222 is a `hidden beast` number, since 101 + 331 + 0 + 12 + 222 = 666.
It is a super-2 number, since 2×1013310122222 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 101331012195 and 101331012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101331012221) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10229472 + ... + 10239372.
Almost surely, 2101331012222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101331012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124911591168).
101331012222 is an abundant number, since it is smaller than the sum of its proper divisors (148492170114).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101331012222 is a wasteful number, since it uses less digits than its factorization.
101331012222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10095 (or 10081 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 101331012222 its reverse (222210133101), we get a palindrome (323541145323).
The spelling of 101331012222 in words is "one hundred one billion, three hundred thirty-one million, twelve thousand, two hundred twenty-two".
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