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20222111200100 = 22521034874031441
BaseRepresentation
bin1001001100100010100111…
…10000010011001101100100
32122121012210200212112111012
410212101103300103031210
510122304340431400400
6111001524252001352
74154666524045055
oct446212360231544
978535720775435
1020222111200100
116497170646127
122327220160258
13b38c244ba564
144dca80b8872c
152510545a1d35
hex126453c13364

20222111200100 has 72 divisors (see below), whose sum is σ = 44399012531328. Its totient is φ = 7993861747200.

The previous prime is 20222111200043. The next prime is 20222111200103. The reversal of 20222111200100 is 100211122202.

It is not an unprimeable number, because it can be changed into a prime (20222111200103) 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 23 ways as a sum of consecutive naturals, for example, 3000380 + ... + 7031820.

It is an arithmetic number, because the mean of its divisors is an integer number (616652951824).

Almost surely, 220222111200100 is an apocalyptic number.

20222111200100 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 20222111200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199506265664).

20222111200100 is an abundant number, since it is smaller than the sum of its proper divisors (24176901331228).

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

20222111200100 is a wasteful number, since it uses less digits than its factorization.

20222111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032045 (or 4032038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20222111200100 its reverse (100211122202), we get a palindrome (20322322322302).

The spelling of 20222111200100 in words is "twenty trillion, two hundred twenty-two billion, one hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 487 515 974 1030 1948 2060 2435 2575 4870 5150 9740 10300 12175 24350 48700 50161 100322 200644 250805 501610 1003220 1254025 2508050 4031441 5016100 8062882 16125764 20157205 40314410 80628820 100786025 201572050 403144100 415238423 830476846 1660953692 1963311767 2076192115 3926623534 4152384230 7853247068 8304768460 9816558835 10380960575 19633117670 20761921150 39266235340 41523842300 49082794175 98165588350 196331176700 202221112001 404442224002 808884448004 1011105560005 2022211120010 4044422240020 5055527800025 10111055600050 20222111200100