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231434011100 = 225224122394289
BaseRepresentation
bin1101011110001010001…
…0101100000111011100
3211010101000220220021202
43113202202230013130
512242434101323400
6254152550015032
722502102431145
oct3274242540734
9733330826252
10231434011100
118a172513a76
1238a2a947478
1318a93810646
14b2b6b72acc
156047e104d5
hex35e28ac1dc

231434011100 has 72 divisors (see below), whose sum is σ = 504638534400. Its totient is φ = 92126822400.

The previous prime is 231434011097. The next prime is 231434011157. The reversal of 231434011100 is 1110434132.

231434011100 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 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 23 ways as a sum of consecutive naturals, for example, 53957756 + ... + 53962044.

Almost surely, 2231434011100 is an apocalyptic number.

231434011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231434011100 is an abundant number, since it is smaller than the sum of its proper divisors (273204523300).

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

231434011100 is a wasteful number, since it uses less digits than its factorization.

231434011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 231434011100 its reverse (1110434132), we get a palindrome (232544445232).

The spelling of 231434011100 in words is "two hundred thirty-one billion, four hundred thirty-four million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2239 2410 4289 4478 4820 6025 8578 8956 11195 12050 17156 21445 22390 24100 42890 44780 55975 85780 107225 111950 214450 223900 428900 539599 1033649 1079198 2067298 2158396 2697995 4134596 5168245 5395990 9603071 10336490 10791980 13489975 19206142 20672980 25841225 26979950 38412284 48015355 51682450 53959900 96030710 103364900 192061420 240076775 480153550 960307100 2314340111 4628680222 9257360444 11571700555 23143401110 46286802220 57858502775 115717005550 231434011100