Search a number
-
+
211210003100 = 225213123369197
BaseRepresentation
bin1100010010110100011…
…0001110001010011100
3202012011120212211211102
43010231012032022130
511430024230044400
6241010055212232
721154660255535
oct3045506161234
9665146784742
10211210003100
11816345a4478
1234b25977078
1316bbc8c3bc5
14a318c1968c
1557626969d5
hex312d18e29c

211210003100 has 72 divisors (see below), whose sum is σ = 463813157808. Its totient is φ = 83478054400.

The previous prime is 211210003073. The next prime is 211210003133. The reversal of 211210003100 is 1300012112.

It is a super-2 number, since 2×2112100031002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017702 + ... + 3086898.

It is an arithmetic number, because the mean of its divisors is an integer number (6441849414).

Almost surely, 2211210003100 is an apocalyptic number.

211210003100 is a gapful number since it is divisible by the number (20) 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 211210003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231906578904).

211210003100 is an abundant number, since it is smaller than the sum of its proper divisors (252603154708).

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

211210003100 is a wasteful number, since it uses less digits than its factorization.

211210003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69575 (or 69568 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211210003100 its reverse (1300012112), we get a palindrome (212510015212).

The spelling of 211210003100 in words is "two hundred eleven billion, two hundred ten million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 233 262 466 524 655 932 1165 1310 2330 2620 3275 4660 5825 6550 11650 13100 23300 30523 61046 69197 122092 138394 152615 276788 305230 345985 610460 691970 763075 1383940 1526150 1729925 3052300 3459850 6919700 9064807 16122901 18129614 32245802 36259228 45324035 64491604 80614505 90648070 161229010 181296140 226620175 322458020 403072525 453240350 806145050 906480700 1612290100 2112100031 4224200062 8448400124 10560500155 21121000310 42242000620 52802500775 105605001550 211210003100