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20022020132100 = 22352729334079551
BaseRepresentation
bin1001000110101101111010…
…11001011100110100000100
32121220002100000020010011220
410203112331121130310010
510111020044123211400
6110325553350000340
74134354216036510
oct443267531346404
977802300203156
1020022020132100
11641a322434218
1222b449a0460b0
13b230b73642bc
144d30dc95d140
1524ac4313e7a0
hex1235bd65cd04

20022020132100 has 288 divisors, whose sum is σ = 66458562379776. Its totient is φ = 4559026368000.

The previous prime is 20022020132089. The next prime is 20022020132123. The reversal of 20022020132100 is 123102022002.

It is a happy number.

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 20022020132100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2096322325 + ... + 2096331875.

It is an arithmetic number, because the mean of its divisors is an integer number (230758897152).

Almost surely, 220022020132100 is an apocalyptic number.

20022020132100 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 20022020132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33229281189888).

20022020132100 is an abundant number, since it is smaller than the sum of its proper divisors (46436542247676).

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

20022020132100 is a wasteful number, since it uses less digits than its factorization.

20022020132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13275 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20022020132100 its reverse (123102022002), we get a palindrome (20145122154102).

The spelling of 20022020132100 in words is "twenty trillion, twenty-two billion, twenty million, one hundred thirty-two thousand, one hundred".