Search a number
-
+
11022202200100 = 22527131771248883
BaseRepresentation
bin1010000001100100111001…
…1100100110000000100100
31110000201020020000022011211
42200121032130212000210
52421041432230400400
635235310233441204
72215220305601560
oct240311634460044
943021206008154
1011022202200100
11356a542880513
1212a0215270204
1361c50a120870
142a169810c6a0
15141aa5928dba
hexa064e726024

11022202200100 has 144 divisors (see below), whose sum is σ = 31169391781248. Its totient is φ = 3283148482560.

The previous prime is 11022202200071. The next prime is 11022202200143. The reversal of 11022202200100 is 100220222011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 35469742 + ... + 35779141.

It is an arithmetic number, because the mean of its divisors is an integer number (216454109592).

Almost surely, 211022202200100 is an apocalyptic number.

11022202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022202200100 is an abundant number, since it is smaller than the sum of its proper divisors (20147189581148).

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

11022202200100 is a wasteful number, since it uses less digits than its factorization.

11022202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71248934 (or 71248927 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11022202200100 its reverse (100220222011), we get a palindrome (11122422422111).

The spelling of 11022202200100 in words is "eleven trillion, twenty-two billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 130 140 170 175 182 221 238 260 325 340 350 364 425 442 455 476 595 650 700 850 884 910 1105 1190 1300 1547 1700 1820 2210 2275 2380 2975 3094 4420 4550 5525 5950 6188 7735 9100 11050 11900 15470 22100 30940 38675 77350 154700 71248883 142497766 284995532 356244415 498742181 712488830 926235479 997484362 1211231011 1424977660 1781222075 1852470958 1994968724 2422462022 2493710905 3562444150 3704941916 4631177395 4844924044 4987421810 6056155055 6483648353 7124888300 8478617077 9262354790 9974843620 12112310110 12468554525 12967296706 15746003143 16957234154 18524709580 23155886975 24224620220 24937109050 25934593412 30280775275 31492006286 32418241765 33914468308 42393085385 46311773950 49874218100 60561550550 62984012572 64836483530 78730015715 84786170770 92623547900 110222022001 121123101100 129672967060 157460031430 162091208825 169572341540 211965426925 220444044002 314920062860 324182417650 393650078575 423930853850 440888088004 551110110005 648364835300 787300157150 847861707700 1102220220010 1574600314300 2204440440020 2755550550025 5511101100050 11022202200100