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20111002110 = 23355311312437
BaseRepresentation
bin10010101110101101…
…011000100111111110
31220220120101202112000
4102232231120213332
5312141404031420
613123332323130
71311240461133
oct225655304776
956816352460
1020111002110
118590155601
123a931734a6
131b866a1164
14d8ad3c58a
157ca895690
hex4aeb589fe

20111002110 has 128 divisors (see below), whose sum is σ = 55129196160. Its totient is φ = 5214763008.

The previous prime is 20111002097. The next prime is 20111002117. The reversal of 20111002110 is 1120011102.

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 = 20111002092 and 20111002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111002117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1610812 + ... + 1623248.

It is an arithmetic number, because the mean of its divisors is an integer number (430696845).

Almost surely, 220111002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27564598080).

20111002110 is an abundant number, since it is smaller than the sum of its proper divisors (35018194050).

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

20111002110 is a wasteful number, since it uses less digits than its factorization.

20111002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12613 counting only the distinct ones).

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

Adding to 20111002110 its reverse (1120011102), we get a palindrome (21231013212).

The spelling of 20111002110 in words is "twenty billion, one hundred eleven million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 113 135 159 226 265 270 318 339 477 530 565 678 795 954 1017 1130 1431 1590 1695 2034 2385 2862 3051 3390 4770 5085 5989 6102 7155 10170 11978 12437 14310 15255 17967 24874 29945 30510 35934 37311 53901 59890 62185 74622 89835 107802 111933 124370 161703 179670 186555 223866 269505 323406 335799 373110 539010 559665 659161 671598 808515 1119330 1318322 1405381 1617030 1678995 1977483 2810762 3295805 3357990 3954966 4216143 5932449 6591610 7026905 8432286 9887415 11864898 12648429 14053810 17797347 19774830 21080715 25296858 29662245 35594694 37945287 42161430 59324490 63242145 74485193 75890574 88986735 126484290 148970386 177973470 189726435 223455579 372425965 379452870 446911158 670366737 744851930 1117277895 1340733474 2011100211 2234555790 3351833685 4022200422 6703667370 10055501055 20111002110