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22123131001 = 4183101191337
BaseRepresentation
bin10100100110101001…
…000011000001111001
32010002210120111110021
4110212221003001321
5330302010143001
614055131250441
71412142340126
oct244651030171
963083514407
1022123131001
119422a26844
124354ba9a21
13211750407a
1410dc27374d
15897351ba1
hex526a43079

22123131001 has 32 divisors (see below), whose sum is σ = 23353214976. Its totient is φ = 20939520000.

The previous prime is 22123130993. The next prime is 22123131071. The reversal of 22123131001 is 10013132122.

It is not a de Polignac number, because 22123131001 - 23 = 22123130993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22123131071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65647105 + ... + 65647441.

It is an arithmetic number, because the mean of its divisors is an integer number (729787968).

Almost surely, 222123131001 is an apocalyptic number.

It is an amenable number.

22123131001 is a deficient number, since it is larger than the sum of its proper divisors (1230083975).

22123131001 is a wasteful number, since it uses less digits than its factorization.

22123131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22123131001 its reverse (10013132122), we get a palindrome (32136263123).

The spelling of 22123131001 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, one".

Divisors: 1 41 83 101 191 337 3403 4141 7831 8383 13817 15853 19291 27971 34037 64367 343703 649973 790931 1146811 1395517 1601153 2639047 2825071 5342461 6501067 65647273 115827911 219040901 266543747 539588561 22123131001