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230101312 = 2672989199
BaseRepresentation
bin11011011011100…
…01000101000000
3121000222100122211
431231301011000
5432401220222
634455511504
75462554210
oct1555610500
9530870584
10230101312
11108982581
1265088594
133889642c
14227ba240
1515303277
hexdb71140

230101312 has 112 divisors (see below), whose sum is σ = 548640000. Its totient is φ = 93671424.

The previous prime is 230101303. The next prime is 230101327. The reversal of 230101312 is 213101032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2301013122 = 105893227568242688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230101292 and 230101301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156189 + ... + 1156387.

Almost surely, 2230101312 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 230101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320000).

230101312 is an abundant number, since it is smaller than the sum of its proper divisors (318538688).

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

230101312 is a wasteful number, since it uses less digits than its factorization.

230101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

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

The square root of 230101312 is about 15169.0906780861. The cubic root of 230101312 is about 612.7825153453.

Adding to 230101312 its reverse (213101032), we get a palindrome (443202344).

The spelling of 230101312 in words is "two hundred thirty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 89 112 116 178 199 203 224 232 356 398 406 448 464 623 712 796 812 928 1246 1393 1424 1592 1624 1856 2492 2581 2786 2848 3184 3248 4984 5162 5572 5696 5771 6368 6496 9968 10324 11144 11542 12736 12992 17711 18067 19936 20648 22288 23084 35422 36134 39872 40397 41296 44576 46168 70844 72268 80794 82592 89152 92336 123977 141688 144536 161588 165184 184672 247954 283376 289072 323176 369344 495908 513619 566752 578144 646352 991816 1027238 1133504 1156288 1292704 1983632 2054476 2585408 3595333 3967264 4108952 7190666 7934528 8217904 14381332 16435808 28762664 32871616 57525328 115050656 230101312