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23022442024100 = 2252230224420241
BaseRepresentation
bin1010011110000010101000…
…11110101000110010100100
310000111220221120100201122122
411033001110132220302210
511004144430124232400
6120544210332045112
74564213401234461
oct517012436506244
9100456846321578
1023022442024100
117376843368672
1226b9aa1303798
13cb00123cc12c
145984138b8668
1529dcee91d685
hex14f0547a8ca4

23022442024100 has 18 divisors (see below), whose sum is σ = 49958699192514. Its totient is φ = 9208976809600.

The previous prime is 23022442024037. The next prime is 23022442024103. The reversal of 23022442024100 is 142024422032.

It can be written as a sum of positive squares in 3 ways, for example, as 4441876595776 + 18580565428324 = 2107576^2 + 4310518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23022442024100.

It is not an unprimeable number, because it can be changed into a prime (23022442024103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115112210021 + ... + 115112210220.

It is an arithmetic number, because the mean of its divisors is an integer number (2775483288473).

Almost surely, 223022442024100 is an apocalyptic number.

23022442024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23022442024100 is an abundant number, since it is smaller than the sum of its proper divisors (26936257168414).

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

23022442024100 is a wasteful number, since it uses less digits than its factorization.

23022442024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230224420255 (or 230224420248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 23022442024100 its reverse (142024422032), we get a palindrome (23164466446132).

The spelling of 23022442024100 in words is "twenty-three trillion, twenty-two billion, four hundred forty-two million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 230224420241 460448840482 920897680964 1151122101205 2302244202410 4604488404820 5755610506025 11511221012050 23022442024100