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2023200232100 = 2252103515338119
BaseRepresentation
bin11101011100010000001…
…000011001001010100100
321011102020022011202100122
4131130100020121022210
5231122003224411400
64145240110301112
7266112534136505
oct35342010311244
97142208152318
102023200232100
11710041871623
122881397b7798
13118a2cc5c368
146dccdbc0bac
1537964b90685
hex1d7102192a4

2023200232100 has 72 divisors (see below), whose sum is σ = 4433945792640. Its totient is φ = 801246458880.

The previous prime is 2023200232091. The next prime is 2023200232121. The reversal of 2023200232100 is 12320023202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53056841 + ... + 53094959.

Almost surely, 22023200232100 is an apocalyptic number.

2023200232100 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 2023200232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216972896320).

2023200232100 is an abundant number, since it is smaller than the sum of its proper divisors (2410745560540).

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

2023200232100 is a wasteful number, since it uses less digits than its factorization.

2023200232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43389 (or 43382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2023200232100 its reverse (12320023202), we get a palindrome (2035520255302).

The spelling of 2023200232100 in words is "two trillion, twenty-three billion, two hundred million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 5153 10300 10306 20612 25765 38119 51530 76238 103060 128825 152476 190595 257650 381190 515300 530759 762380 952975 1061518 1905950 2123036 2653795 3811900 3926257 5307590 7852514 10615180 13268975 15705028 19631285 26537950 39262570 53075900 78525140 98156425 196312850 196427207 392625700 392854414 785708828 982136035 1964272070 3928544140 4910680175 9821360350 19642720700 20232002321 40464004642 80928009284 101160011605 202320023210 404640046420 505800058025 1011600116050 2023200232100