Search a number
-
+
100323223020 = 2232517237471109
BaseRepresentation
bin101110101101110111…
…0101110010111101100
3100120221200211202212200
41131123232232113230
53120430221114040
6114030550501500
710151050216446
oct1353356562754
9316850752780
10100323223020
1139601931369
121753a064890
1395ca77b977
144bd9d5b496
1529227d4630
hex175bbae5ec

100323223020 has 432 divisors, whose sum is σ = 339374206080. Its totient is φ = 23955775488.

The previous prime is 100323222941. The next prime is 100323223087. The reversal of 100323223020 is 20322323001.

It is a happy number.

100323223020 is a `hidden beast` number, since 10 + 0 + 32 + 322 + 302 + 0 = 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 = 100323222984 and 100323223002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90462226 + ... + 90463334.

It is an arithmetic number, because the mean of its divisors is an integer number (785588440).

Almost surely, 2100323223020 is an apocalyptic number.

100323223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100323223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169687103040).

100323223020 is an abundant number, since it is smaller than the sum of its proper divisors (239050983060).

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

100323223020 is a wasteful number, since it uses less digits than its factorization.

100323223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100323223020 its reverse (20322323001), we get a palindrome (120645546021).

The spelling of 100323223020 in words is "one hundred billion, three hundred twenty-three million, two hundred twenty-three thousand, twenty".