Search a number
-
+
10100123020 = 22513311976361
BaseRepresentation
bin10010110100000001…
…11010010110001100
3222001220011102002101
421122000322112030
5131141112414040
64350120404444
7505201425541
oct113200722614
928056142071
1010100123020
11431328aa09
121b5a616724
13c4c674c70
146bb586bc8
153e1a8909a
hex25a03a58c

10100123020 has 96 divisors (see below), whose sum is σ = 23702063616. Its totient is φ = 3590092800.

The previous prime is 10100123017. The next prime is 10100123029. The reversal of 10100123020 is 2032100101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10100122988 and 10100123006.

It is not an unprimeable number, because it can be changed into a prime (10100123029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584640 + ... + 1591000.

It is an arithmetic number, because the mean of its divisors is an integer number (246896496).

Almost surely, 210100123020 is an apocalyptic number.

10100123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851031808).

10100123020 is an abundant number, since it is smaller than the sum of its proper divisors (13601940596).

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

10100123020 is a wasteful number, since it uses less digits than its factorization.

10100123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6611 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100123020 its reverse (2032100101), we get a palindrome (12132223121).

The spelling of 10100123020 in words is "ten billion, one hundred million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 197 260 310 394 403 620 788 806 985 1612 1970 2015 2561 3940 4030 5122 6107 6361 8060 10244 12214 12722 12805 24428 25444 25610 30535 31805 51220 61070 63610 79391 82693 122140 127220 158782 165386 197191 317564 330772 394382 396955 413465 788764 793910 826930 985955 1253117 1587820 1653860 1971910 2506234 2563483 3943820 5012468 5126966 6265585 10253932 12531170 12817415 16290521 25062340 25634830 32581042 38846627 51269660 65162084 77693254 81452605 155386508 162905210 194233135 325810420 388466270 505006151 776932540 1010012302 2020024604 2525030755 5050061510 10100123020