Base | Representation |
---|---|
bin | 10110111111100001100001… |
… | …001110011110100100110000 |
3 | 111021001012102211021221221200 |
4 | 112333201201032132210300 |
5 | 101223242023321432344 |
6 | 555022543501451200 |
7 | 30204563612021166 |
oct | 2677414116364460 |
9 | 437035384257850 |
10 | 101122341202224 |
11 | 2a24782039a061 |
12 | b41222b570b00 |
13 | 4456a46668ab4 |
14 | 1ad84c14b7236 |
15 | ba56567eb069 |
hex | 5bf86139e930 |
101122341202224 has 120 divisors (see below), whose sum is σ = 283766875471872. Its totient is φ = 33616374176640.
The previous prime is 101122341202117. The next prime is 101122341202241. The reversal of 101122341202224 is 422202143221101.
101122341202224 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 23 + 412 + 0 + 2 + 224 = 666.
101122341202224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1011223412022242 (a number of 29 digits) contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651102019 + ... + 651257309.
Almost surely, 2101122341202224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101122341202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141883437735936).
101122341202224 is an abundant number, since it is smaller than the sum of its proper divisors (182644534269648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101122341202224 is a wasteful number, since it uses less digits than its factorization.
101122341202224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167495 (or 167486 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 101122341202224 its reverse (422202143221101), we get a palindrome (523324484423325).
The spelling of 101122341202224 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred forty-one million, two hundred two thousand, two hundred twenty-four".
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