Search a number
-
+
10200301100 = 22521167138403
BaseRepresentation
bin10010111111111110…
…00011111000101100
3222022212122222120122
421133333003320230
5131342234113400
64404055504112
7510526062113
oct113777037054
928285588518
1010200301100
114364893210
121b88088038
13c6734b832
146ca9c2c7a
153ea776685
hex25ffc3e2c

10200301100 has 72 divisors (see below), whose sum is σ = 24507473088. Its totient is φ = 3653812800.

The previous prime is 10200301099. The next prime is 10200301129. The reversal of 10200301100 is 110300201.

It is a super-2 number, since 2×102003011002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4499 + ... + 142901.

Almost surely, 210200301100 is an apocalyptic number.

10200301100 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 10200301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253736544).

10200301100 is an abundant number, since it is smaller than the sum of its proper divisors (14307171988).

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

10200301100 is a wasteful number, since it uses less digits than its factorization.

10200301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138495 (or 138488 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10200301100 its reverse (110300201), we get a palindrome (10310601301).

The spelling of 10200301100 in words is "ten billion, two hundred million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 36850 73700 138403 276806 553612 692015 1384030 1522433 2768060 3044866 3460075 6089732 6920150 7612165 9273001 13840300 15224330 18546002 30448660 37092004 38060825 46365005 76121650 92730010 102003011 152243300 185460020 204006022 231825025 408012044 463650050 510015055 927300100 1020030110 2040060220 2550075275 5100150550 10200301100