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10020020011122 = 23112910164380611
BaseRepresentation
bin1001000111001111011110…
…1110111100000001110010
31022110220102102102012011210
42101303313232330001302
52303132000110323442
633151044511220550
72052631302544542
oct221636756740162
938426372365153
1010020020011122
113213515090760
121159b44517756
13578b64a1b654
14268d85d43322
1512599c81319c
hex91cf7bbc072

10020020011122 has 128 divisors (see below), whose sum is σ = 22875441361920. Its totient is φ = 2898090720000.

The previous prime is 10020020011061. The next prime is 10020020011147. The reversal of 10020020011122 is 22111002002001.

It is a junction number, because it is equal to n+sod(n) for n = 10020020011098 and 10020020011107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124260597 + ... + 124341207.

It is an arithmetic number, because the mean of its divisors is an integer number (178714385640).

Almost surely, 210020020011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020020011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437720680960).

10020020011122 is an abundant number, since it is smaller than the sum of its proper divisors (12855421350798).

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

10020020011122 is a wasteful number, since it uses less digits than its factorization.

10020020011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81400.

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

Adding to 10020020011122 its reverse (22111002002001), we get a palindrome (32131022013123).

The spelling of 10020020011122 in words is "ten trillion, twenty billion, twenty million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 303 319 606 638 643 957 1111 1286 1914 1929 2222 2929 3333 3858 5858 6666 7073 8787 14146 17574 18647 21219 32219 37294 42438 55941 64438 64943 80611 96657 111882 129886 161222 193314 194829 205117 241833 389658 410234 483666 615351 714373 886721 1230702 1428746 1773442 1883347 2143119 2337719 2660163 3766694 4286238 4675438 5320326 5650041 7013157 8141711 11300082 14026314 16283422 20716817 24425133 25714909 41433634 48850266 51429818 51832873 62150451 77144727 89558821 103665746 124300902 154289454 155498619 179117642 236109619 268676463 310997238 472219238 537352926 570161603 708328857 1140323206 1416657714 1503153317 1710484809 2597205809 3006306634 3420969618 4509459951 5194411618 5235120173 7791617427 9018919902 10470240346 15583234854 15705360519 16534686487 31410721038 33069372974 49604059461 57586321903 99208118922 115172643806 151818485017 172758965709 303636970034 345517931418 455455455051 910910910102 1670003335187 3340006670374 5010010005561 10020020011122