Search a number
-
+
610000100100 = 223352225925963
BaseRepresentation
bin10001110000001101101…
…01101101101100000100
32011022111221210202221000
420320012311231230010
534443240011200400
61144121415053300
762033241204546
oct10700665555404
92138457722830
10610000100100
11215777176836
129a27b971230
13456a46813c1
142174a431696
1510d02c4a600
hex8e06d6db04

610000100100 has 72 divisors (see below), whose sum is σ = 1961037367520. Its totient is φ = 162666692640.

The previous prime is 610000100069. The next prime is 610000100123. The reversal of 610000100100 is 1001000016.

It is a super-3 number, since 3×6100001001003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 112960282 + ... + 112965681.

Almost surely, 2610000100100 is an apocalyptic number.

610000100100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610000100100 is an abundant number, since it is smaller than the sum of its proper divisors (1351037267420).

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

610000100100 is a wasteful number, since it uses less digits than its factorization.

610000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225925986 (or 225925973 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 610000100100 its reverse (1001000016), we get a palindrome (611001100116).

The spelling of 610000100100 in words is "six hundred ten billion, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 225925963 451851926 677777889 903703852 1129629815 1355555778 2033333667 2259259630 2711111556 3388889445 4066667334 4518519260 5648149075 6100001001 6777778890 8133334668 10166668335 11296298150 12200002002 13555557780 16944447225 20333336670 22592596300 24400004004 30500005005 33888894450 40666673340 50833341675 61000010010 67777788900 101666683350 122000020020 152500025025 203333366700 305000050050 610000100100