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211230230420 = 2251143101221077
BaseRepresentation
bin1100010010111001001…
…1011000011110010100
3202012012222221111111102
43010232103120132110
511430044414333140
6241012100525232
721155324222366
oct3045623303624
9665188844442
10211230230420
1181644a5a570
1234b306b0818
1316bc3b56931
14a31b7a2d36
15576433ee15
hex312e4d8794

211230230420 has 96 divisors (see below), whose sum is σ = 500067824256. Its totient is φ = 74281536000.

The previous prime is 211230230401. The next prime is 211230230483. The reversal of 211230230420 is 24032032112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211230230392 and 211230230401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844922 + ... + 1065998.

It is an arithmetic number, because the mean of its divisors is an integer number (5209039836).

Almost surely, 2211230230420 is an apocalyptic number.

211230230420 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 211230230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250033912128).

211230230420 is an abundant number, since it is smaller than the sum of its proper divisors (288837593836).

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

211230230420 is a wasteful number, since it uses less digits than its factorization.

211230230420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221241 (or 221239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211230230420 its reverse (24032032112), we get a palindrome (235262262532).

The spelling of 211230230420 in words is "two hundred eleven billion, two hundred thirty million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 101 110 172 202 215 220 404 430 473 505 860 946 1010 1111 1892 2020 2222 2365 4343 4444 4730 5555 8686 9460 11110 17372 21715 22220 43430 47773 86860 95546 191092 221077 238865 442154 477730 884308 955460 1105385 2210770 2431847 4421540 4863694 9506311 9727388 12159235 19012622 22328777 24318470 38025244 44657554 47531555 48636940 89315108 95063110 104569421 111643885 190126220 209138842 223287770 245616547 418277684 446575540 491233094 522847105 960137411 982466188 1045694210 1228082735 1920274822 2091388420 2456165470 3840549644 4800687055 4912330940 9601374110 10561511521 19202748220 21123023042 42246046084 52807557605 105615115210 211230230420