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22021021121100 = 223522997199313093
BaseRepresentation
bin1010000000111001010110…
…01001000011101001001100
32212222012002211020221200120
411000130223021003221030
510341243022401333400
6114500152322424540
74431652301063211
oct500345311035114
985865084227616
1022021021121100
117020076377281
1225779a3502150
13c3975b9466b1
14561b7487bb08
15282c3d583ca0
hex14072b243a4c

22021021121100 has 288 divisors, whose sum is σ = 66629191917120. Its totient is φ = 5608084930560.

The previous prime is 22021021121087. The next prime is 22021021121107. The reversal of 22021021121100 is 112112012022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22021021121100.

It is not an unprimeable number, because it can be changed into a prime (22021021121107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1681886154 + ... + 1681899246.

Almost surely, 222021021121100 is an apocalyptic number.

22021021121100 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 22021021121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33314595958560).

22021021121100 is an abundant number, since it is smaller than the sum of its proper divisors (44608170796020).

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

22021021121100 is a wasteful number, since it uses less digits than its factorization.

22021021121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229 (or 15222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22021021121100 its reverse (112112012022), we get a palindrome (22133133133122).

The spelling of 22021021121100 in words is "twenty-two trillion, twenty-one billion, twenty-one million, one hundred twenty-one thousand, one hundred".