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10022200314131 = 971792055128087
BaseRepresentation
bin1001000111010111100110…
…1100001000100100010011
31022111010001101001001122002
42101311321230020210103
52303200431240023011
633152045114504215
72053036316036225
oct221657154104423
938433041031562
1010022200314131
113214433887675
12115a45273506b
13579121644785
14269111734415
15125a78e3dc3b
hex91d79b08913

10022200314131 has 16 divisors (see below), whose sum is σ = 10182947120640. Its totient is φ = 9862634822400.

The previous prime is 10022200314109. The next prime is 10022200314211. The reversal of 10022200314131 is 13141300222001.

It is a cyclic number.

It is not a de Polignac number, because 10022200314131 - 226 = 10022133205267 is a prime.

It is a super-2 number, since 2×100222003141312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022200314631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356812970 + ... + 356841056.

It is an arithmetic number, because the mean of its divisors is an integer number (636434195040).

Almost surely, 210022200314131 is an apocalyptic number.

10022200314131 is a deficient number, since it is larger than the sum of its proper divisors (160746806509).

10022200314131 is a wasteful number, since it uses less digits than its factorization.

10022200314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48914.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10022200314131 its reverse (13141300222001), we get a palindrome (23163500536132).

The spelling of 10022200314131 in words is "ten trillion, twenty-two billion, two hundred million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 97 179 17363 20551 28087 1993447 2724439 3678629 5027573 356827013 487674581 577215937 55989945889 103321652723 10022200314131