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231440041100 = 22528926996671
BaseRepresentation
bin1101011110001011100…
…1101100010010001100
3211010101110021020220002
43113202321230102030
512242442122303400
6254153323143432
722502204614262
oct3274271542214
9733343236802
10231440041100
118a175962444
1238a30974b78
1318a94b421a8
14b2b78a2432
156048701ed5
hex35e2e6c48c

231440041100 has 72 divisors (see below), whose sum is σ = 509761123200. Its totient is φ = 91194611200.

The previous prime is 231440041093. The next prime is 231440041103. The reversal of 231440041100 is 1140044132.

231440041100 is digitally balanced in base 2, because in such base 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 (231440041103) 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 23 ways as a sum of consecutive naturals, for example, 2345765 + ... + 2442435.

It is an arithmetic number, because the mean of its divisors is an integer number (7080015600).

Almost surely, 2231440041100 is an apocalyptic number.

231440041100 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 231440041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254880561600).

231440041100 is an abundant number, since it is smaller than the sum of its proper divisors (278321082100).

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

231440041100 is a wasteful number, since it uses less digits than its factorization.

231440041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97043 (or 97036 counting only the distinct ones).

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

Adding to 231440041100 its reverse (1140044132), we get a palindrome (232580085232).

The spelling of 231440041100 in words is "two hundred thirty-one billion, four hundred forty million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 269 356 445 538 890 1076 1345 1780 2225 2690 4450 5380 6725 8900 13450 23941 26900 47882 95764 96671 119705 193342 239410 386684 478820 483355 598525 966710 1197050 1933420 2394100 2416775 4833550 8603719 9667100 17207438 26004499 34414876 43018595 52008998 86037190 104017996 130022495 172074380 215092975 260044990 430185950 520089980 650112475 860371900 1300224950 2314400411 2600449900 4628800822 9257601644 11572002055 23144004110 46288008220 57860010275 115720020550 231440041100