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10220212212100 = 225211192321261103
BaseRepresentation
bin1001010010111001010000…
…0111100101000110000100
31100012001011011100200211221
42110232110013211012010
52314421443311241400
633423033425010124
72103246246304342
oct224562407450604
940161134320757
1010220212212100
113290405398340
1211908b4483944
135919b9ac3cc7
14274937776992
1512acb7aa0c1a
hex94b941e5184

10220212212100 has 144 divisors (see below), whose sum is σ = 26574679111680. Its totient is φ = 3367758556800.

The previous prime is 10220212212083. The next prime is 10220212212131. The reversal of 10220212212100 is 121221202201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10149852 + ... + 11111251.

It is an arithmetic number, because the mean of its divisors is an integer number (184546382720).

Almost surely, 210220212212100 is an apocalyptic number.

10220212212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220212212100 is an abundant number, since it is smaller than the sum of its proper divisors (16354466899580).

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

10220212212100 is a wasteful number, since it uses less digits than its factorization.

10220212212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21261170 (or 21261163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10220212212100 its reverse (121221202201), we get a palindrome (10341433414301).

The spelling of 10220212212100 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 23 25 38 44 46 50 55 76 92 95 100 110 115 190 209 220 230 253 275 380 418 437 460 475 506 550 575 836 874 950 1012 1045 1100 1150 1265 1748 1900 2090 2185 2300 2530 4180 4370 4807 5060 5225 6325 8740 9614 10450 10925 12650 19228 20900 21850 24035 25300 43700 48070 96140 120175 240350 480700 21261103 42522206 85044412 106305515 212611030 233872133 403960957 425222060 467744266 489005369 531527575 807921914 935488532 978010738 1063055150 1169360665 1615843828 1956021476 2019804785 2126110300 2338721330 2445026845 4039609570 4443570527 4677442660 4890053690 5379059059 5846803325 8079219140 8887141054 9291102011 9780107380 10099023925 10758118118 11693606650 12225134225 17774282108 18582204022 20198047850 21516236236 22217852635 23387213300 24450268450 26895295295 37164408044 40396095700 44435705270 46455510055 48900536900 53790590590 88871410540 92911020110 102202122121 107581181180 111089263175 134476476475 185822040220 204404244242 222178526350 232277550275 268952952950 408808488484 444357052700 464555100550 511010610605 537905905900 929110201100 1022021221210 2044042442420 2555053053025 5110106106050 10220212212100