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10100222002122 = 23711320261105037
BaseRepresentation
bin1001001011111010010000…
…1001010000001111001010
31022202120102211121110201220
42102332210021100033022
52310440223313031442
633251551122222510
72061500626325310
oct222764411201712
938676384543656
1010100222002122
11324453100a64a
1211715a7ab4a36
135835a6956a65
1426cbd385c0b0
15127ae38d0eec
hex92fa42503ca

10100222002122 has 64 divisors (see below), whose sum is σ = 23291895838464. Its totient is φ = 2860071459840.

The previous prime is 10100222001997. The next prime is 10100222002151. The reversal of 10100222002122 is 22120022200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96106188 + ... + 96211224.

It is an arithmetic number, because the mean of its divisors is an integer number (363935872476).

Almost surely, 210100222002122 is an apocalyptic number.

10100222002122 is an abundant number, since it is smaller than the sum of its proper divisors (13191673836342).

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

10100222002122 is a wasteful number, since it uses less digits than its factorization.

10100222002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125423.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10100222002122 its reverse (22120022200101), we get a palindrome (32220244202223).

The spelling of 10100222002122 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 113 226 339 678 791 1582 2373 4746 20261 40522 60783 105037 121566 141827 210074 283654 315111 425481 630222 735259 850962 1470518 2205777 2289493 4411554 4578986 6868479 11869181 13736958 16026451 23738362 32052902 35607543 48079353 71215086 83084267 96158706 166168534 249252801 498505602 2128154657 4256309314 6384463971 12768927942 14897082599 29794165198 44691247797 89382495594 240481476241 480962952482 721444428723 1442888857446 1683370333687 3366740667374 5050111001061 10100222002122