Search a number
-
+
211204023140 = 2251147151135271
BaseRepresentation
bin1100010010110010111…
…1011010001101100100
3202012011011122000212102
43010230233122031210
511430021212220030
6241005323111232
721154555401335
oct3045457321544
9665134560772
10211204023140
118163118a660
1234b23972518
1316bbb5ac076
14a31810028c
155761db4c45
hex312cbda364

211204023140 has 96 divisors (see below), whose sum is σ = 497420034048. Its totient is φ = 74669040000.

The previous prime is 211204023131. The next prime is 211204023143. The reversal of 211204023140 is 41320402112.

211204023140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (211204023143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1493705 + ... + 1628975.

It is an arithmetic number, because the mean of its divisors is an integer number (5181458688).

Almost surely, 2211204023140 is an apocalyptic number.

211204023140 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 211204023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248710017024).

211204023140 is an abundant number, since it is smaller than the sum of its proper divisors (286216010908).

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

211204023140 is a wasteful number, since it uses less digits than its factorization.

211204023140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135489 (or 135487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211204023140 its reverse (41320402112), we get a palindrome (252524425252).

The spelling of 211204023140 in words is "two hundred eleven billion, two hundred four million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 151 188 220 235 302 470 517 604 755 940 1034 1510 1661 2068 2585 3020 3322 5170 6644 7097 8305 10340 14194 16610 28388 33220 35485 70970 78067 135271 141940 156134 270542 312268 390335 541084 676355 780670 1352710 1487981 1561340 2705420 2975962 5951924 6357737 7439905 12715474 14879810 20425921 25430948 29759620 31788685 40851842 63577370 69935107 81703684 102129605 127154740 139870214 204259210 224685131 279740428 349675535 408518420 449370262 699351070 898740524 960018287 1123425655 1398702140 1920036574 2246851310 3840073148 4493702620 4800091435 9600182870 10560201157 19200365740 21120402314 42240804628 52801005785 105602011570 211204023140