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11200100102022 = 231317193323133781
BaseRepresentation
bin1010001011111011100111…
…1111001110111110000110
31110122201102020022001222010
42202332321333032332012
52432000301111231042
635453131023115050
72234115631036056
oct242767177167606
943581366261863
1011200100102022
113628a32581257
12130a7a2a42a86
1363321b3c12a0
142aa132a73566
1514651880359c
hexa2fb9fcef86

11200100102022 has 128 divisors (see below), whose sum is σ = 26894933936640. Its totient is φ = 3071811409920.

The previous prime is 11200100102011. The next prime is 11200100102047. The reversal of 11200100102022 is 22020100100211.

It is a junction number, because it is equal to n+sod(n) for n = 11200100101989 and 11200100102007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83652772 + ... + 83786552.

It is an arithmetic number, because the mean of its divisors is an integer number (210116671380).

Almost surely, 211200100102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200100102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447466968320).

11200100102022 is an abundant number, since it is smaller than the sum of its proper divisors (15694833834618).

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

11200100102022 is a wasteful number, since it uses less digits than its factorization.

11200100102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137158.

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

Adding to 11200100102022 its reverse (22020100100211), we get a palindrome (33220200202233).

The spelling of 11200100102022 in words is "eleven trillion, two hundred billion, one hundred million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 3323 4199 6646 8398 9969 12597 19938 25194 43199 56491 63137 86398 112982 126274 129597 133781 169473 189411 259194 267562 338946 378822 401343 734383 802686 820781 1073329 1468766 1641562 1739153 2146658 2203149 2274277 2462343 2541839 3219987 3478306 4406298 4548554 4924686 5083678 5217459 6439974 6822831 7625517 10434918 13645662 13953277 15251034 27906554 29565601 33043907 41859831 43211263 59131202 66087814 83719662 86422526 88696803 99131721 129633789 177393606 198263442 259267578 444554263 561746419 889108526 1123492838 1333662789 1685239257 2667325578 3370478514 5779205419 7557422471 8446530997 11558410838 15114844942 16893061994 17337616257 22672267413 25339592991 34675232514 45344534826 50679185982 98246492123 109804902961 143591026949 196492984246 219609805922 287182053898 294739476369 329414708883 430773080847 589478952738 658829417766 861546161694 1866683350337 3733366700674 5600050051011 11200100102022