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10222202012202 = 2342271879147937
BaseRepresentation
bin1001010011000000101010…
…1110000100001000101010
31100012020021211112000110000
42110300022232010020222
52314440032203342302
633424003105203430
72103346460314665
oct224601256041052
940166254460400
1010222202012202
1132912365a8634
12119116a930576
13591c4610980b
14274a85b386dc
1512ad825eb31c
hex94c0ab8422a

10222202012202 has 80 divisors (see below), whose sum is σ = 23018608388160. Its totient is φ = 3390561752832.

The previous prime is 10222202012179. The next prime is 10222202012207. The reversal of 10222202012202 is 20221020222201.

10222202012202 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 201 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222202012207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69024378 + ... + 69172314.

It is an arithmetic number, because the mean of its divisors is an integer number (287732604852).

Almost surely, 210222202012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222202012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509304194080).

10222202012202 is an abundant number, since it is smaller than the sum of its proper divisors (12796406375958).

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

10222202012202 is a wasteful number, since it uses less digits than its factorization.

10222202012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150057 (or 150048 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222202012202 its reverse (20221020222201), we get a palindrome (30443222234403).

The spelling of 10222202012202 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 454 681 1362 1879 2043 3758 4086 5637 6129 11274 12258 16911 18387 33822 36774 50733 101466 147937 152199 295874 304398 426533 443811 853066 887622 1279599 1331433 2559198 2662866 3838797 3994299 7677594 7988598 11516391 11982897 23032782 23965794 33581699 34549173 67163398 69098346 100745097 201490194 277973623 302235291 555947246 604470582 833920869 906705873 1667841738 1813411746 2501762607 2720117619 5003525214 5440235238 7505287821 15010575642 22515863463 45031726926 63100012421 126200024842 189300037263 378600074526 567900111789 1135800223578 1703700335367 3407400670734 5111101006101 10222202012202