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20293100100 = 22365272131923
BaseRepresentation
bin10010111001100100…
…000010001001000100
31221101021001022000000
4102321210002021010
5313030013200400
613153355321300
71315611335100
oct227144021104
957337038000
1020293100100
118673a20509
123b24150230
131bb532ac50
14da71c0900
157db865600
hex4b9902244

20293100100 has 1512 divisors, whose sum is σ = 90849810240. Its totient is φ = 3879912960.

The previous prime is 20293100017. The next prime is 20293100111. The reversal of 20293100100 is 100139202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 882308689 + ... + 882308711.

Almost surely, 220293100100 is an apocalyptic number.

20293100100 is a gapful number since it is divisible by the number (20) 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 20293100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45424905120).

20293100100 is an abundant number, since it is smaller than the sum of its proper divisors (70556710140).

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

20293100100 is a wasteful number, since it uses less digits than its factorization.

20293100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20293100100 its reverse (100139202), we get a palindrome (20393239302).

The spelling of 20293100100 in words is "twenty billion, two hundred ninety-three million, one hundred thousand, one hundred".