Search a number
-
+
210031231120 = 24537106166877
BaseRepresentation
bin1100001110011011010…
…1100100000010010000
3202002010102211000122221
43003212311210002100
511420120443343440
6240253110110424
721113525002534
oct3034665440220
9662112730587
10210031231120
118108a177657
123485704b414
1316a62622aa9
14a246453bc4
1556e3e50d4a
hex30e6d64090

210031231120 has 80 divisors (see below), whose sum is σ = 502000713648. Its totient is φ = 81663621120.

The previous prime is 210031231043. The next prime is 210031231129. The reversal of 210031231120 is 21132130012.

It can be written as a sum of positive squares in 8 ways, for example, as 1792336896 + 208238894224 = 42336^2 + 456332^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2100312311202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210031231094 and 210031231103.

It is not an unprimeable number, because it can be changed into a prime (210031231129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3107122 + ... + 3173998.

Almost surely, 2210031231120 is an apocalyptic number.

210031231120 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 210031231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251000356824).

210031231120 is an abundant number, since it is smaller than the sum of its proper divisors (291969482528).

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

210031231120 is a wasteful number, since it uses less digits than its factorization.

210031231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67988 (or 67982 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210031231120 its reverse (21132130012), we get a palindrome (231163361132).

The spelling of 210031231120 in words is "two hundred ten billion, thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1061 1480 2122 2960 4244 5305 8488 10610 16976 21220 39257 42440 66877 78514 84880 133754 157028 196285 267508 314056 334385 392570 535016 628112 668770 785140 1070032 1337540 1570280 2474449 2675080 3140560 4948898 5350160 9897796 12372245 19795592 24744490 39591184 49488980 70956497 98977960 141912994 197955920 283825988 354782485 567651976 709564970 1135303952 1419129940 2625390389 2838259880 5250780778 5676519760 10501561556 13126951945 21003123112 26253903890 42006246224 52507807780 105015615560 210031231120