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10011012111220 = 22523292812670643
BaseRepresentation
bin1001000110101101111011…
…0100100001101101110100
31022110001011122110110112111
42101223132310201231310
52303010023100024340
633142555004500404
72052162132631651
oct221533664415564
938401148413474
1010011012111220
11320a71239418a
12115824b84a704
1357805a733673
1426876d872c28
15125621ac5aea
hex91aded21b74

10011012111220 has 96 divisors (see below), whose sum is σ = 22774397425920. Its totient is φ = 3685058657280.

The previous prime is 10011012111179. The next prime is 10011012111277. The reversal of 10011012111220 is 2211121011001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011012111220.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2413219 + ... + 5083861.

It is an arithmetic number, because the mean of its divisors is an integer number (237233306520).

Almost surely, 210011012111220 is an apocalyptic number.

10011012111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011012111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387198712960).

10011012111220 is an abundant number, since it is smaller than the sum of its proper divisors (12763385314700).

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

10011012111220 is a wasteful number, since it uses less digits than its factorization.

10011012111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670985 (or 2670983 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011012111220 its reverse (2211121011001), we get a palindrome (12222133122221).

The spelling of 10011012111220 in words is "ten trillion, eleven billion, twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 281 290 460 562 580 667 1124 1334 1405 2668 2810 3335 5620 6463 6670 8149 12926 13340 16298 25852 32315 32596 40745 64630 81490 129260 162980 187427 374854 749708 937135 1874270 2670643 3748540 5341286 10682572 13353215 26706430 53412860 61424789 77448647 122849578 154897294 245699156 307123945 309794588 387243235 614247890 750450683 774486470 1228495780 1500901366 1548972940 1781318881 3001802732 3562637762 3752253415 7125275524 7504506830 8906594405 15009013660 17260365709 17813188810 21763069807 34520731418 35626377620 43526139614 69041462836 86301828545 87052279228 108815349035 172603657090 217630698070 345207314180 435261396140 500550605561 1001101211122 2002202422244 2502753027805 5005506055610 10011012111220