Search a number
-
+
10100203223022 = 232111312412576287
BaseRepresentation
bin1001001011111010001100…
…0001100111011111101110
31022202120101112021101122200
42102332203001213133232
52310440204011114042
633251545211522330
72061500310602613
oct222764301473756
938676345241580
1010100203223022
113244521453630
1211715a17593a6
135835a2ab0273
1426cbd117050a
15127ae1e21c4c
hex92fa30677ee

10100203223022 has 192 divisors, whose sum is σ = 24253107360768. Its totient is φ = 3012452352000.

The previous prime is 10100203222999. The next prime is 10100203223027. The reversal of 10100203223022 is 22032230200101.

10100203223022 is a `hidden beast` number, since 10 + 10 + 0 + 20 + 322 + 302 + 2 = 666.

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 = 10100203222986 and 10100203223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100203223027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1606518763 + ... + 1606525049.

It is an arithmetic number, because the mean of its divisors is an integer number (126318267504).

Almost surely, 210100203223022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100203223022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126553680384).

10100203223022 is an abundant number, since it is smaller than the sum of its proper divisors (14152904137746).

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

10100203223022 is a wasteful number, since it uses less digits than its factorization.

10100203223022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10100203223022 its reverse (22032230200101), we get a palindrome (32132433423123).

The spelling of 10100203223022 in words is "ten trillion, one hundred billion, two hundred three million, two hundred twenty-three thousand, twenty-two".