Search a number
-
+
230001311120 = 24571672459381
BaseRepresentation
bin1101011000110100100…
…1010111110110010000
3210222200012001012101112
43112031021113312100
512232020313423440
6253354450152452
722421434613240
oct3261511276620
9728605035345
10230001311120
11895a78202a9
12386aab82728
13188c5a52c89
14b1bc78bb20
155eb225b965
hex358d257d90

230001311120 has 80 divisors (see below), whose sum is σ = 614806149888. Its totient is φ = 78385359360.

The previous prime is 230001311107. The next prime is 230001311171. The reversal of 230001311120 is 21113100032.

230001311120 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 tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230001311095 and 230001311104.

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, 1136171 + ... + 1323210.

Almost surely, 2230001311120 is an apocalyptic number.

230001311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230001311120 is an abundant number, since it is smaller than the sum of its proper divisors (384804838768).

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

230001311120 is a wasteful number, since it uses less digits than its factorization.

230001311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459568 (or 2459562 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 230001311120 its reverse (21113100032), we get a palindrome (251114411152).

The spelling of 230001311120 in words is "two hundred thirty billion, one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 46760 93520 2459381 4918762 9837524 12296905 17215667 19675048 24593810 34431334 39350096 49187620 68862668 86078335 98375240 137725336 172156670 196750480 275450672 344313340 410716627 688626680 821433254 1377253360 1642866508 2053583135 2875016389 3285733016 4107166270 5750032778 6571466032 8214332540 11500065556 14375081945 16428665080 23000131112 28750163890 32857330160 46000262224 57500327780 115000655560 230001311120