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22012010010100 = 22521127359941603
BaseRepresentation
bin1010000000101000100100…
…00010011001010111110100
32212221022211211021002020201
411000110102002121113310
510341121044030310400
6114452102223210244
74431213061644445
oct500242202312764
985838754232221
1022012010010100
117017271887200
1225760a9746984
13c38953aa5c56
1456155bbb32cc
152828b241006a
hex1405120995f4

22012010010100 has 216 divisors, whose sum is σ = 53312547153600. Its totient is φ = 7881349132800.

The previous prime is 22012010009963. The next prime is 22012010010101. The reversal of 22012010010100 is 101001021022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012010010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529075899 + ... + 529117501.

Almost surely, 222012010010100 is an apocalyptic number.

22012010010100 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 22012010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26656273576800).

22012010010100 is an abundant number, since it is smaller than the sum of its proper divisors (31300537143500).

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

22012010010100 is a wasteful number, since it uses less digits than its factorization.

22012010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42311 (or 42293 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22012010010100 its reverse (101001021022), we get a palindrome (22113011031122).

The spelling of 22012010010100 in words is "twenty-two trillion, twelve billion, ten million, ten thousand, one hundred".