Search a number
-
+
210231013120 = 2852910495399
BaseRepresentation
bin1100001111001010111…
…1101010111100000000
3202002122100202000001021
43003302233222330000
511421023114404440
6240325004115224
721121502061412
oct3036257527400
9662570660037
10210231013120
1181181a20847
12348b1b35b14
1316a94b31aab
14a264bba9b2
15570676584a
hex30f2beaf00

210231013120 has 144 divisors (see below), whose sum is σ = 521526600000. Its totient is φ = 81100242944.

The previous prime is 210231013093. The next prime is 210231013169. The reversal of 210231013120 is 21310132012.

210231013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102310131202 (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 = 210231013094 and 210231013103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38936181 + ... + 38941579.

It is an arithmetic number, because the mean of its divisors is an integer number (3621712500).

Almost surely, 2210231013120 is an apocalyptic number.

210231013120 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 210231013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260763300000).

210231013120 is an abundant number, since it is smaller than the sum of its proper divisors (311295586880).

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

210231013120 is a wasteful number, since it uses less digits than its factorization.

210231013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6484 counting only the distinct ones).

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

Adding to 210231013120 its reverse (21310132012), we get a palindrome (231541145132).

The spelling of 210231013120 in words is "two hundred ten billion, two hundred thirty-one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 928 1049 1160 1280 1856 2098 2320 3712 4196 4640 5245 5399 7424 8392 9280 10490 10798 16784 18560 20980 21596 26995 30421 33568 37120 41960 43192 53990 60842 67136 83920 86384 107980 121684 134272 152105 156571 167840 172768 215960 243368 268544 304210 313142 335680 345536 431920 486736 608420 626284 671360 691072 782855 863840 973472 1216840 1252568 1342720 1382144 1565710 1727680 1946944 2433680 2505136 3131420 3455360 3893888 4867360 5010272 5663551 6262840 6910720 7787776 9734720 10020544 11327102 12525680 19469440 20041088 22654204 25051360 28317755 38938880 40082176 45308408 50102720 56635510 90616816 100205440 113271020 164242979 181233632 200410880 226542040 328485958 362467264 453084080 656971916 724934528 821214895 906168160 1313943832 1449869056 1642429790 1812336320 2627887664 3284859580 3624672640 5255775328 6569719160 7249345280 10511550656 13139438320 21023101312 26278876640 42046202624 52557753280 105115506560 210231013120