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231301012000 = 2553167346259
BaseRepresentation
bin1101011101101010011…
…1010101101000100000
3211010000202122211211011
43113122213111220200
512242201024341000
6254131435230304
722465566106522
oct3273247255040
9733022584734
10231301012000
118a104433863
12389b22a8394
1318a720b4a56
14b2a3231a12
15603b3dd2ba
hex35da9d5a20

231301012000 has 96 divisors (see below), whose sum is σ = 571711271040. Its totient is φ = 91966124800.

The previous prime is 231301011989. The next prime is 231301012013. The reversal of 231301012000 is 210103132.

231301012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 494871 + ... + 841129.

It is an arithmetic number, because the mean of its divisors is an integer number (5955325740).

Almost surely, 2231301012000 is an apocalyptic number.

231301012000 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 231301012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285855635520).

231301012000 is an abundant number, since it is smaller than the sum of its proper divisors (340410259040).

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

231301012000 is a wasteful number, since it uses less digits than its factorization.

231301012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346451 (or 346433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 231301012000 its reverse (210103132), we get a palindrome (231511115132).

The spelling of 231301012000 in words is "two hundred thirty-one billion, three hundred one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 167 200 250 334 400 500 668 800 835 1000 1336 1670 2000 2672 3340 4000 4175 5344 6680 8350 13360 16700 20875 26720 33400 41750 66800 83500 133600 167000 334000 346259 668000 692518 1385036 1731295 2770072 3462590 5540144 6925180 8656475 11080288 13850360 17312950 27700720 34625900 43282375 55401440 57825253 69251800 86564750 115650506 138503600 173129500 231301012 277007200 289126265 346259000 462602024 578252530 692518000 925204048 1156505060 1385036000 1445631325 1850408096 2313010120 2891262650 4626020240 5782525300 7228156625 9252040480 11565050600 14456313250 23130101200 28912626500 46260202400 57825253000 115650506000 231301012000