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11220001220100 = 22352791273727699
BaseRepresentation
bin1010001101000101110000…
…1011111110011000000100
31110201121210011202121201110
42203101130023332120010
52432312030303020400
635510221501125020
72235422042535351
oct243213413763004
943647704677643
1011220001220100
113636415202882
121312617859770
136350704572ba
142ab09db79628
15146cd0a3ae50
hexa345c2fe604

11220001220100 has 144 divisors (see below), whose sum is σ = 33132990464000. Its totient is φ = 2930865275520.

The previous prime is 11220001220093. The next prime is 11220001220117. The reversal of 11220001220100 is 102210002211.

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

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, 1146051 + ... + 4873749.

Almost surely, 211220001220100 is an apocalyptic number.

11220001220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220001220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566495232000).

11220001220100 is an abundant number, since it is smaller than the sum of its proper divisors (21912989243900).

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

11220001220100 is a wasteful number, since it uses less digits than its factorization.

11220001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727922 (or 3727915 counting only the distinct ones).

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

Adding to 11220001220100 its reverse (102210002211), we get a palindrome (11322211222311).

The spelling of 11220001220100 in words is "eleven trillion, two hundred twenty billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 127 150 158 237 254 300 316 381 395 474 508 635 762 790 948 1185 1270 1524 1580 1905 1975 2370 2540 3175 3810 3950 4740 5925 6350 7620 7900 9525 10033 11850 12700 19050 20066 23700 30099 38100 40132 50165 60198 100330 120396 150495 200660 250825 300990 501650 601980 752475 1003300 1504950 3009900 3727699 7455398 11183097 14910796 18638495 22366194 37276990 44732388 55915485 74553980 93192475 111830970 186384950 223661940 279577425 294488221 372769900 473417773 559154850 588976442 883464663 946835546 1118309700 1177952884 1420253319 1472441105 1766929326 1893671092 2367088865 2840506638 2944882210 3533858652 4417323315 4734177730 5681013276 5889764420 7101266595 7362205525 8834646630 9468355460 11835444325 14202533190 14724411050 17669293260 22086616575 23670888650 28405066380 29448822100 35506332975 37400004067 44173233150 47341777300 71012665950 74800008134 88346466300 112200012201 142025331900 149600016268 187000020335 224400024402 374000040670 448800048804 561000061005 748000081340 935000101675 1122000122010 1870000203350 2244000244020 2805000305025 3740000406700 5610000610050 11220001220100