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20200100310 = 23251319878689
BaseRepresentation
bin10010110100000001…
…010001000111010110
31221010210001102021100
4102310001101013112
5312332211202220
613140234130530
71313402006505
oct226401210726
957123042240
1020200100310
118626480385
123ab8b80a46
131b9bc987a0
14d98ad283c
157d35e4d90
hex4b40511d6

20200100310 has 96 divisors (see below), whose sum is σ = 56595258720. Its totient is φ = 4969257984.

The previous prime is 20200100303. The next prime is 20200100311. The reversal of 20200100310 is 1300100202.

It is a happy number.

It is a super-2 number, since 2×202001003102 (a number of 21 digits) contains 22 as substring.

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 = 20200100292 and 20200100301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200100311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320446 + ... + 2329134.

It is an arithmetic number, because the mean of its divisors is an integer number (589533945).

Almost surely, 220200100310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28297629360).

20200100310 is an abundant number, since it is smaller than the sum of its proper divisors (36395158410).

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

20200100310 is a wasteful number, since it uses less digits than its factorization.

20200100310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20200100310 its reverse (1300100202), we get a palindrome (21500200512).

The spelling of 20200100310 in words is "twenty billion, two hundred million, one hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1987 3974 5961 8689 9935 11922 17378 17883 19870 25831 26067 29805 35766 43445 51662 52134 59610 77493 78201 86890 89415 112957 129155 130335 154986 156402 178830 225914 232479 258310 260670 338871 387465 391005 464958 564785 677742 774930 782010 1016613 1129570 1162395 1694355 2033226 2324790 3388710 5083065 10166130 17265043 34530086 51795129 86325215 103590258 155385387 172650430 224445559 258975645 310770774 448891118 517951290 673336677 776926935 1122227795 1346673354 1553853870 2020010031 2244455590 3366683385 4040020062 6733366770 10100050155 20200100310