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20100211110 = 23257243105997
BaseRepresentation
bin10010101110000100…
…001110000110100110
31220212211002112001100
4102232010032012212
5312131123223420
613122305140530
71311046655400
oct225604160646
956784075040
1020100211110
118585055121
123a8b62a746
131b84393555
14d8972db70
157c9963190
hex4ae10e1a6

20100211110 has 144 divisors (see below), whose sum is σ = 62207258256. Its totient is φ = 4487446656.

The previous prime is 20100211099. The next prime is 20100211139. The reversal of 20100211110 is 1111200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100211092 and 20100211101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136632 + ... + 242628.

It is an arithmetic number, because the mean of its divisors is an integer number (431994849).

Almost surely, 220100211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31103629128).

20100211110 is an abundant number, since it is smaller than the sum of its proper divisors (42107047146).

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

20100211110 is a wasteful number, since it uses less digits than its factorization.

20100211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106067 (or 106057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20100211110 its reverse (1111200102), we get a palindrome (21211411212).

The spelling of 20100211110 in words is "twenty billion, one hundred million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 49 63 70 86 90 98 105 126 129 147 210 215 245 258 294 301 315 387 430 441 490 602 630 645 735 774 882 903 1290 1470 1505 1806 1935 2107 2205 2709 3010 3870 4214 4410 4515 5418 6321 9030 10535 12642 13545 18963 21070 27090 31605 37926 63210 94815 105997 189630 211994 317991 529985 635982 741979 953973 1059970 1483958 1589955 1907946 2225937 3179910 3709895 4451874 4557871 4769865 5193853 6677811 7419790 9115742 9539730 10387706 11129685 13355622 13673613 15581559 22259370 22789355 25969265 27347226 31163118 31905097 33389055 41020839 45578710 46744677 51938530 63810194 66778110 68368065 77907795 82041678 93489354 95715291 136736130 155815590 159525485 191430582 205104195 223335679 233723385 287145873 319050970 410208390 446671358 467446770 478576455 574291746 670007037 957152910 1116678395 1340014074 1435729365 2010021111 2233356790 2871458730 3350035185 4020042222 6700070370 10050105555 20100211110