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22010101220100 = 22352784401124181
BaseRepresentation
bin1010000000100101000000…
…10000111100001100000100
32212221010220210112111121210
411000102200100330030010
510341103141403020400
6114451144555211420
74431114553335150
oct500224020741404
985833823474553
1022010101220100
117016482378004
122575856446b70
13c3870b4b5506
1456141a49c060
152827eea67950
hex1404a043c304

22010101220100 has 144 divisors (see below), whose sum is σ = 72781516434816. Its totient is φ = 5030780160000.

The previous prime is 22010101220087. The next prime is 22010101220117. The reversal of 22010101220100 is 102210101022.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177180010 + ... + 177304190.

It is an arithmetic number, because the mean of its divisors is an integer number (505427197464).

Almost surely, 222010101220100 is an apocalyptic number.

22010101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010101220100 is an abundant number, since it is smaller than the sum of its proper divisors (50771415214716).

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

22010101220100 is a wasteful number, since it uses less digits than its factorization.

22010101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208606 (or 208599 counting only the distinct ones).

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

Adding to 22010101220100 its reverse (102210101022), we get a palindrome (22112311321122).

The spelling of 22010101220100 in words is "twenty-two trillion, ten billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 84401 124181 168802 248362 253203 337604 372543 422005 496724 506406 590807 620905 745086 844010 869267 1012812 1181614 1241810 1266015 1490172 1688020 1738534 1772421 1862715 2110025 2363228 2483620 2532030 2607801 2954035 3104525 3477068 3544842 3725430 4220050 4346335 5064060 5215602 5908070 6209050 6330075 7089684 7450860 8440100 8692670 8862105 9313575 10431204 11816140 12418100 12660150 13039005 14770175 17385340 17724210 18627150 21731675 25320300 26078010 29540350 35448420 37254300 43463350 44310525 52156020 59080700 65195025 86926700 88621050 130390050 177242100 260780100 10481000581 20962001162 31443001743 41924002324 52405002905 62886003486 73367004067 104810005810 125772006972 146734008134 157215008715 209620011620 220101012201 262025014525 293468016268 314430017430 366835020335 440202024402 524050029050 628860034860 733670040670 786075043575 880404048804 1048100058100 1100505061005 1467340081340 1572150087150 1834175101675 2201010122010 3144300174300 3668350203350 4402020244020 5502525305025 7336700406700 11005050610050 22010101220100