Base | Representation |
---|---|
bin | 101111000010111101… |
… | …1001001100001011000 |
3 | 100122210000212211010122 |
4 | 1132011323021201120 |
5 | 3123402431414112 |
6 | 114225115332412 |
7 | 10204434243050 |
oct | 1360573114130 |
9 | 318700784118 |
10 | 101031123032 |
11 | 399354870a4 |
12 | 176b7151108 |
13 | 96b1325b08 |
14 | 4c65d90560 |
15 | 2964a17872 |
hex | 1785ec9858 |
101031123032 has 64 divisors (see below), whose sum is σ = 228464736000. Its totient is φ = 40916658816.
The previous prime is 101031123001. The next prime is 101031123073. The reversal of 101031123032 is 230321130101.
101031123032 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-2 number, since 2×1010311230322 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 101031123032.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302819 + ... + 541997.
It is an arithmetic number, because the mean of its divisors is an integer number (3569761500).
Almost surely, 2101031123032 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 101031123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114232368000).
101031123032 is an abundant number, since it is smaller than the sum of its proper divisors (127433612968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101031123032 is a wasteful number, since it uses less digits than its factorization.
101031123032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239608 (or 239604 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 17.
Adding to 101031123032 its reverse (230321130101), we get a palindrome (331352253133).
The spelling of 101031123032 in words is "one hundred one billion, thirty-one million, one hundred twenty-three thousand, thirty-two".
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