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1010012001220 = 225171915726343
BaseRepresentation
bin11101011001010010110…
…10000001001111000100
310120120000110202210012001
432230221122001033010
5113022001033014340
62051554302235044
7132654016233655
oct16545132011704
93516013683161
101010012001220
1135a386497672
121438b6b85a84
13743225c8711
1436c5601152c
151b4156e529a
hexeb296813c4

1010012001220 has 144 divisors (see below), whose sum is σ = 2379519192960. Its totient is φ = 357876320256.

The previous prime is 1010012001211. The next prime is 1010012001223. The reversal of 1010012001220 is 221002100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010012001197 and 1010012001206.

It is not an unprimeable number, because it can be changed into a prime (1010012001223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159229369 + ... + 159235711.

It is an arithmetic number, because the mean of its divisors is an integer number (16524438840).

Almost surely, 21010012001220 is an apocalyptic number.

1010012001220 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 1010012001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189759596480).

1010012001220 is an abundant number, since it is smaller than the sum of its proper divisors (1369507191740).

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

1010012001220 is a wasteful number, since it uses less digits than its factorization.

1010012001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010012001220 its reverse (221002100101), we get a palindrome (1231014101321).

The spelling of 1010012001220 in words is "one trillion, ten billion, twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 157 170 190 314 323 340 380 628 646 785 1292 1570 1615 2669 2983 3140 3230 5338 5966 6343 6460 10676 11932 12686 13345 14915 24649 25372 26690 29830 31715 49298 50711 53380 59660 63430 98596 101422 107831 120517 123245 126860 202844 215662 241034 246490 253555 419033 431324 468331 482068 492980 507110 539155 602585 838066 936662 995851 1014220 1078310 1205170 1676132 1873324 1991702 2048789 2095165 2156620 2341655 2410340 3983404 4097578 4190330 4683310 4979255 7961627 8195156 8380660 9366620 9958510 10243945 15923254 16929467 18921169 19917020 20487890 31846508 33858934 37842338 39808135 40975780 67717868 75684676 79616270 84647335 94605845 156348607 159232540 169294670 189211690 312697214 321659873 338589340 378423380 625394428 643319746 781743035 1286639492 1563486070 1608299365 2657926319 2970623533 3126972140 3216598730 5315852638 5941247066 6433197460 10631705276 11882494132 13289631595 14853117665 26579263190 29706235330 50500600061 53158526380 59412470660 101001200122 202002400244 252503000305 505006000610 1010012001220