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10122010020122 = 271113311311245001
BaseRepresentation
bin1001001101001011011011…
…0011111100100100011010
31022211122200021121110120112
42103102312303330210122
52311314334031120442
633305553123124322
72063201562403550
oct223226663744432
938748607543515
1010122010020122
1132527a1859aa0
1211758688136a2
135856698b79c0
1426dc9d3bbbd0
1512846b5da082
hex934b6cfc91a

10122010020122 has 128 divisors (see below), whose sum is σ = 21203838222336. Its totient is φ = 3495960000000.

The previous prime is 10122010020121. The next prime is 10122010020127. The reversal of 10122010020122 is 22102001022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10122010020097 and 10122010020106.

It is not an unprimeable number, because it can be changed into a prime (10122010020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7507622 + ... + 8752622.

It is an arithmetic number, because the mean of its divisors is an integer number (165654986112).

Almost surely, 210122010020122 is an apocalyptic number.

10122010020122 is an abundant number, since it is smaller than the sum of its proper divisors (11081828202214).

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

10122010020122 is a wasteful number, since it uses less digits than its factorization.

10122010020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245196.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122010020122 its reverse (22102001022101), we get a palindrome (32224011042223).

The spelling of 10122010020122 in words is "ten trillion, one hundred twenty-two billion, ten million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 91 131 143 154 182 217 262 286 341 403 434 682 806 917 1001 1441 1703 1834 2002 2387 2821 2882 3406 4061 4433 4774 5642 8122 8866 10087 11921 18733 20174 23842 28427 31031 37466 44671 52793 56854 62062 89342 105586 131131 262262 312697 369551 580723 625394 739102 1161446 1245001 2490002 4065061 8130122 8715007 13695011 16185013 17430014 27390022 32370026 38595031 77190062 95865077 113295091 163095131 178035143 191730154 226590182 270165217 326190262 356070286 424545341 501735403 540330434 849090682 1003470806 1141665917 1246246001 1794046441 2120236703 2283331834 2492492002 2971817387 3512147821 3588092882 4240473406 5055949061 5519089433 5943634774 7024295642 10111898122 11038178866 12558325087 14841656921 23322603733 25116650174 29683313842 35391643427 38633626031 46645207466 55615439671 65727337793 70783286854 77267252062 111230879342 131454675586 163258226131 326516452262 389308077697 460091364551 723000715723 778616155394 920182729102 1446001431446 5061005010061 10122010020122