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10220010010122 = 23113179101626033
BaseRepresentation
bin1001010010111000100000…
…0100001111011000001010
31100012000122001212202212210
42110232020010033120022
52314421040030310442
633423001403045550
72103241242516243
oct224561004173012
940160561782783
1010220010010122
113290311240a70
1211908588108b6
13591986c48673
1427491897dcca
1512aca4e5e19c
hex94b8810f60a

10220010010122 has 128 divisors (see below), whose sum is σ = 23539679723520. Its totient is φ = 2929829760000.

The previous prime is 10220010010103. The next prime is 10220010010151. The reversal of 10220010010122 is 22101001002201.

It is a junction number, because it is equal to n+sod(n) for n = 10220010010098 and 10220010010107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16012018 + ... + 16638050.

It is an arithmetic number, because the mean of its divisors is an integer number (183903747840).

Almost surely, 210220010010122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220010010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769839861760).

10220010010122 is an abundant number, since it is smaller than the sum of its proper divisors (13319669713398).

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

10220010010122 is a wasteful number, since it uses less digits than its factorization.

10220010010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626260.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220010010122 its reverse (22101001002201), we get a palindrome (32321011012323).

The spelling of 10220010010122 in words is "ten trillion, two hundred twenty billion, ten million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 79 93 101 158 186 202 237 303 341 474 606 682 869 1023 1111 1738 2046 2222 2449 2607 3131 3333 4898 5214 6262 6666 7347 7979 9393 14694 15958 18786 23937 26939 34441 47874 53878 68882 80817 87769 103323 161634 175538 206646 247349 263307 494698 526614 626033 742047 1252066 1484094 1878099 2720839 3756198 5441678 6886363 8162517 13772726 16325034 19407023 20659089 38814046 41318178 49456607 58221069 63229333 98913214 116442138 126458666 148369821 189687999 213477253 296739642 379375998 426954506 544022677 640431759 695522663 1088045354 1280863518 1391045326 1533154817 1632068031 1960109323 2086567989 3066309634 3264136062 3920218646 4173135978 4599464451 4995117307 5880327969 9198928902 9990234614 11760655938 14985351921 16864702987 21561202553 29970703842 33729405974 43122405106 50594108961 54946290377 64683607659 101188217922 109892580754 129367215318 154848636517 164838871131 309697273034 329677742262 464545909551 929091819102 1703335001687 3406670003374 5110005005061 10220010010122