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210002011220100 = 2235211471353978151
BaseRepresentation
bin101111101111111011100111…
…010001111110100010000100
31000112112222220020022212201010
4233233323213101332202010
5210011133104333020400
62022345331522002220
762143100415034431
oct5757734721764204
91015488806285633
10210002011220100
1160a05397657840
121b6779687a6370
139024148cbc768
1439c0219cccb88
15194297a85e450
hexbefee747e884

210002011220100 has 144 divisors (see below), whose sum is σ = 676945748699136. Its totient is φ = 49826395920000.

The previous prime is 210002011220059. The next prime is 210002011220119. The reversal of 210002011220100 is 1022110200012.

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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676833976 + ... + 677144175.

It is an arithmetic number, because the mean of its divisors is an integer number (4701012143744).

Almost surely, 2210002011220100 is an apocalyptic number.

210002011220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002011220100 is an abundant number, since it is smaller than the sum of its proper divisors (466943737479036).

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

210002011220100 is a wasteful number, since it uses less digits than its factorization.

210002011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353978226 (or 1353978219 counting only the distinct ones).

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

Adding to 210002011220100 its reverse (1022110200012), we get a palindrome (211024121420112).

The spelling of 210002011220100 in words is "two hundred ten trillion, two billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 155100 1353978151 2707956302 4061934453 5415912604 6769890755 8123868906 13539781510 14893759661 16247737812 20309672265 27079563020 29787519322 33849453775 40619344530 44681278983 59575038644 63636973097 67698907550 74468798305 81238689060 89362557966 101548361325 127273946194 135397815100 148937596610 178725115932 190910919291 203096722650 223406394915 254547892388 297875193220 318184865485 372343991525 381821838582 406193445300 446812789830 636369730970 700006704067 744687983050 763643677164 893625579660 954554596455 1117031974575 1272739461940 1400013408134 1489375966100 1590924327425 1909109192910 2100020112201 2234063949150 2800026816268 3181848654850 3500033520335 3818218385820 4200040224402 4468127898300 4772772982275 6363697309700 7000067040670 8400080448804 9545545964550 10500100561005 14000134081340 17500167601675 19091091929100 21000201122010 35000335203350 42000402244020 52500502805025 70000670406700 105001005610050 210002011220100