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10220200110 = 234517970489
BaseRepresentation
bin10011000010010101…
…11110000010101110
3222101021002221220000
421201022332002232
5131412332400420
64410050205130
7511160160531
oct114112760256
928337087800
1010220200110
11437504467a
121b928837a6
13c6b4c7cb3
146cd4c2a18
153ec3a7690
hex2612be0ae

10220200110 has 80 divisors (see below), whose sum is σ = 27634899600. Its totient is φ = 2710122624.

The previous prime is 10220200057. The next prime is 10220200117. The reversal of 10220200110 is 1100202201.

10220200110 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 10220200092 and 10220200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220200117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109746 + ... + 180234.

It is an arithmetic number, because the mean of its divisors is an integer number (345436245).

Almost surely, 210220200110 is an apocalyptic number.

10220200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817449800).

10220200110 is an abundant number, since it is smaller than the sum of its proper divisors (17414699490).

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

10220200110 is a wasteful number, since it uses less digits than its factorization.

10220200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70687 (or 70678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220200110 its reverse (1100202201), we get a palindrome (11320402311).

The spelling of 10220200110 in words is "ten billion, two hundred twenty million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 270 358 405 537 810 895 1074 1611 1790 2685 3222 4833 5370 8055 9666 14499 16110 24165 28998 48330 70489 72495 140978 144990 211467 352445 422934 634401 704890 1057335 1268802 1903203 2114670 3172005 3806406 5709609 6344010 9516015 11419218 12617531 19032030 25235062 28548045 37852593 57096090 63087655 75705186 113557779 126175310 189262965 227115558 340673337 378525930 567788895 681346674 1022020011 1135577790 1703366685 2044040022 3406733370 5110100055 10220200110