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10222011000120 = 2335676679190357
BaseRepresentation
bin1001010010111111111101…
…0101011010010100111000
31100012012210112002121010110
42110233333111122110320
52314434134304000440
633423532123144320
72103341650613313
oct224577725322470
940165715077113
1010222011000120
1132911487a4407
1211911169750a0
13591c1567b50a
14274a6861597a
1512ad7096a080
hex94bff55a538

10222011000120 has 128 divisors (see below), whose sum is σ = 31128558451200. Its totient is φ = 2684768841216.

The previous prime is 10222011000073. The next prime is 10222011000139. The reversal of 10222011000120 is 2100011022201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10222011000096 and 10222011000105.

It is a congruent number.

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, 53603982 + ... + 53794338.

It is an arithmetic number, because the mean of its divisors is an integer number (243191862900).

Almost surely, 210222011000120 is an apocalyptic number.

10222011000120 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 10222011000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564279225600).

10222011000120 is an abundant number, since it is smaller than the sum of its proper divisors (20906547451080).

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

10222011000120 is a wasteful number, since it uses less digits than its factorization.

10222011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197117 (or 197113 counting only the distinct ones).

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

Adding to 10222011000120 its reverse (2100011022201), we get a palindrome (12322022022321).

The spelling of 10222011000120 in words is "ten trillion, two hundred twenty-two billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 6679 8040 13358 20037 26716 33395 40074 53432 66790 80148 100185 133580 160296 190357 200370 267160 380714 400740 447493 571071 761428 801480 894986 951785 1142142 1342479 1522856 1789972 1903570 2237465 2284284 2684958 2855355 3579944 3807140 4474930 4568568 5369916 5710710 6712395 7614280 8949860 10739832 11421420 12753919 13424790 17899720 22842840 25507838 26849580 38261757 51015676 53699160 63769595 76523514 102031352 127539190 153047028 191308785 255078380 306094056 382617570 510156760 765235140 1271394403 1530470280 2542788806 3814183209 5085577612 6356972015 7628366418 10171155224 12713944030 15256732836 19070916045 25427888060 30513465672 38141832090 50855776120 76283664180 85183425001 152567328360 170366850002 255550275003 340733700004 425917125005 511100550006 681467400008 851834250010 1022201100012 1277751375015 1703668500020 2044402200024 2555502750030 3407337000040 5111005500060 10222011000120