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1021222201220 = 2251335312139173
BaseRepresentation
bin11101101110001011001…
…01100010011110000100
310121121221201201221121122
432313011211202132010
5113212430340414340
62101050515533112
7133531560325544
oct16670545423604
93547851657548
101021222201220
11364109344871
12145b052ba198
13753bac3bc60
14375dab9b324
151b86e955db5
hexedc5962784

1021222201220 has 96 divisors (see below), whose sum is σ = 2318237947872. Its totient is φ = 375647551488.

The previous prime is 1021222201193. The next prime is 1021222201249. The reversal of 1021222201220 is 221022221201.

It is a happy number.

1021222201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 952560384064 + 68661817156 = 975992^2 + 262034^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111324554 + ... + 111333726.

It is an arithmetic number, because the mean of its divisors is an integer number (24148311957).

Almost surely, 21021222201220 is an apocalyptic number.

1021222201220 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 1021222201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159118973936).

1021222201220 is an abundant number, since it is smaller than the sum of its proper divisors (1297015746652).

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

1021222201220 is a wasteful number, since it uses less digits than its factorization.

1021222201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10761 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1021222201220 its reverse (221022221201), we get a palindrome (1242244422421).

The spelling of 1021222201220 in words is "one trillion, twenty-one billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 353 706 1213 1412 1765 2426 3530 4589 4852 6065 7060 9173 9178 12130 15769 18346 18356 22945 24260 31538 36692 45865 45890 63076 78845 91730 91780 119249 157690 183460 238498 315380 428189 476996 596245 856378 1192490 1712756 2140945 2384980 3238069 4281890 5566457 6476138 8563780 11126849 11132914 12952276 16190345 22253698 22265828 27832285 32380690 42094897 44507396 55634245 55664570 64761380 84189794 111268490 111329140 144649037 168379588 210474485 222536980 289298074 420948970 578596148 723245185 841897940 1446490370 2892980740 3927777697 7855555394 15711110788 19638888485 39277776970 51061110061 78555553940 102122220122 204244440244 255305550305 510611100610 1021222201220