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10223000120100 = 223521919918714817
BaseRepresentation
bin1001010011000011101001…
…0010100110101100100100
31100012022100110022002122210
42110300322102212230210
52314443201012320400
633424214215323420
72103405321161115
oct224607222465444
940168313262583
1010223000120100
113291606066939
121191352080570
13592042579401
14274b1db3020c
1512adcc6ec950
hex94c3a4a6b24

10223000120100 has 288 divisors, whose sum is σ = 31314995712000. Its totient is φ = 2567767910400.

The previous prime is 10223000120087. The next prime is 10223000120101. The reversal of 10223000120100 is 102100032201.

It is a super-2 number, since 2×102230001201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10223000120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2122272892 + ... + 2122277708.

It is an arithmetic number, because the mean of its divisors is an integer number (108732624000).

Almost surely, 210223000120100 is an apocalyptic number.

10223000120100 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 10223000120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15657497856000).

10223000120100 is an abundant number, since it is smaller than the sum of its proper divisors (21091995591900).

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

10223000120100 is a wasteful number, since it uses less digits than its factorization.

10223000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10223000120100 its reverse (102100032201), we get a palindrome (10325100152301).

The spelling of 10223000120100 in words is "ten trillion, two hundred twenty-three billion, one hundred twenty thousand, one hundred".