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10222001201120 = 255891315479673
BaseRepresentation
bin1001010010111111111011…
…0000000001111111100000
31100012012202211122202102112
42110233332300001333200
52314434124301413440
633423531133134452
72103341501411642
oct224577660017740
940165684582375
1010222001201120
113291143211265
12119111362a428
13591c1362a2a7
14274a671c4892
1512ad6eb81965
hex94bfec01fe0

10222001201120 has 96 divisors (see below), whose sum is σ = 24607243251360. Its totient is φ = 4011996651520.

The previous prime is 10222001201089. The next prime is 10222001201171. The reversal of 10222001201120 is 2110210022201.

It is a junction number, because it is equal to n+sod(n) for n = 10222001201095 and 10222001201104.

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 15 ways as a sum of consecutive naturals, for example, 874397 + ... + 4605276.

It is an arithmetic number, because the mean of its divisors is an integer number (256325450535).

Almost surely, 210222001201120 is an apocalyptic number.

10222001201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222001201120 is an abundant number, since it is smaller than the sum of its proper divisors (14385242050240).

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

10222001201120 is a wasteful number, since it uses less digits than its factorization.

10222001201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479908 (or 5479900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222001201120 its reverse (2110210022201), we get a palindrome (12332211223321).

The spelling of 10222001201120 in words is "ten trillion, two hundred twenty-two billion, one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 131 160 178 262 356 445 524 655 712 890 1048 1310 1424 1780 2096 2620 2848 3560 4192 5240 7120 10480 11659 14240 20960 23318 46636 58295 93272 116590 186544 233180 373088 466360 932720 1865440 5479673 10959346 21918692 27398365 43837384 54796730 87674768 109593460 175349536 219186920 438373840 487690897 717837163 876747680 975381794 1435674326 1950763588 2438454485 2871348652 3589185815 3901527176 4876908970 5742697304 7178371630 7803054352 9753817940 11485394608 14356743260 15606108704 19507635880 22970789216 28713486520 39015271760 57426973040 63887507507 78030543520 114853946080 127775015014 255550030028 319437537535 511100060056 638875075070 1022200120112 1277750150140 2044400240224 2555500300280 5111000600560 10222001201120