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230312323213032 = 233372274783238879
BaseRepresentation
bin110100010111011111000100…
…001101100110011011101000
31010012110122100210112221002010
4310113133010031212123220
5220141414114220304112
62133500004243035520
766340342033353234
oct6427370415463350
91105418323487063
10230312323213032
11674259a9250a85
12219b80a306bba0
139b68488629058
1440c3266a275c4
151b95e4333e63c
hexd177c43666e8

230312323213032 has 128 divisors (see below), whose sum is σ = 594074150092800. Its totient is φ = 74350972424448.

The previous prime is 230312323213031. The next prime is 230312323213039.

230312323213032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (230312323213031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964018569 + ... + 964257447.

It is an arithmetic number, because the mean of its divisors is an integer number (4641204297600).

Almost surely, 2230312323213032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230312323213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297037075046400).

230312323213032 is an abundant number, since it is smaller than the sum of its proper divisors (363761826879768).

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

230312323213032 is a wasteful number, since it uses less digits than its factorization.

230312323213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243935 (or 243931 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 230312323213032 in words is "two hundred thirty trillion, three hundred twelve billion, three hundred twenty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 227 296 444 454 681 888 908 1362 1816 2724 4783 5448 8399 9566 14349 16798 19132 25197 28698 33596 38264 50394 57396 67192 100788 114792 176971 201576 238879 353942 477758 530913 707884 716637 955516 1061826 1085741 1415768 1433274 1911032 2123652 2171482 2866548 3257223 4247304 4342964 5733096 6514446 8685928 8838523 13028892 17677046 26057784 26515569 35354092 40172417 53031138 54225533 70708184 80344834 106062276 108451066 120517251 160689668 162676599 212124552 216902132 241034502 321379336 325353198 433804264 482069004 650706396 964138008 1142558257 1301412792 2006344721 2285116514 3427674771 4012689442 4570233028 6019034163 6855349542 8025378884 9140466056 12038068326 13710699084 16050757768 24076136652 27421398168 42274655509 48152273304 84549311018 126823966527 169098622036 253647933054 259360724339 338197244072 507295866108 518721448678 778082173017 1014591732216 1037442897356 1556164346034 2074885794712 3112328692068 6224657384136 9596346800543 19192693601086 28789040401629 38385387202172 57578080803258 76770774404344 115156161606516 230312323213032