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4022101144100 = 22521319295615107
BaseRepresentation
bin111010100001110111111…
…010001111001000100100
3112020111202010220011000202
4322201313322033020210
51011344230343102400
612315421110130032
7563405262430424
oct72416772171044
915214663804022
104022101144100
111310844270316
1254b615650918
132323898a1bb0
14dc9566cc484
156e9564174d5
hex3a877e8f224

4022101144100 has 144 divisors (see below), whose sum is σ = 10235218862400. Its totient is φ = 1358406443520.

The previous prime is 4022101144073. The next prime is 4022101144111. The reversal of 4022101144100 is 14411012204.

It is a super-2 number, since 2×40221011441002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2091254 + ... + 3523853.

Almost surely, 24022101144100 is an apocalyptic number.

It is an amenable number.

4022101144100 is an abundant number, since it is smaller than the sum of its proper divisors (6213117718300).

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

4022101144100 is a wasteful number, since it uses less digits than its factorization.

4022101144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615182 (or 5615175 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4022101144100 its reverse (14411012204), we get a palindrome (4036512156304).

The spelling of 4022101144100 in words is "four trillion, twenty-two billion, one hundred one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 29 38 50 52 58 65 76 95 100 116 130 145 190 247 260 290 325 377 380 475 494 551 580 650 725 754 950 988 1102 1235 1300 1450 1508 1885 1900 2204 2470 2755 2900 3770 4940 5510 6175 7163 7540 9425 11020 12350 13775 14326 18850 24700 27550 28652 35815 37700 55100 71630 143260 179075 358150 716300 5615107 11230214 22460428 28075535 56151070 72996391 106687033 112302140 140377675 145992782 162838103 213374066 280755350 291985564 325676206 364981955 426748132 533435165 561510700 651352412 729963910 814190515 1066870330 1386931429 1459927820 1628381030 1824909775 2116895339 2133740660 2667175825 2773862858 3093923957 3256762060 3649819550 4070952575 4233790678 5334351650 5547725716 6187847914 6934657145 7299639100 8141905150 8467581356 10584476695 10668703300 12375695828 13869314290 15469619785 16283810300 21168953390 27738628580 30939239570 34673285725 40221011441 42337906780 52922383475 61878479140 69346571450 77348098925 80442022882 105844766950 138693142900 154696197850 160884045764 201105057205 211689533900 309392395700 402210114410 804420228820 1005525286025 2011050572050 4022101144100