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231544806012 = 22351361300397
BaseRepresentation
bin1101011110100100100…
…1010101101001111100
3211010122202101212100000
43113221021111221330
512243200432243022
6254211544434300
722504616243322
oct3275111255174
9733582355300
10231544806012
118a21a008913
1238a5ba78990
1318ab0763770
14b2c7773d12
1560529e86ac
hex35e9255a7c

231544806012 has 144 divisors (see below), whose sum is σ = 664379442272. Its totient is φ = 70076378880.

The previous prime is 231544805981. The next prime is 231544806037. The reversal of 231544806012 is 210608445132.

It is a happy number.

231544806012 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 4 + 48 + 0 + 601 + 2 = 666.

It is a super-2 number, since 2×2315448060122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620598 + ... + 920994.

Almost surely, 2231544806012 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 231544806012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332189721136).

231544806012 is an abundant number, since it is smaller than the sum of its proper divisors (432834636260).

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

231544806012 is a wasteful number, since it uses less digits than its factorization.

231544806012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300490 (or 300476 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 231544806012 in words is "two hundred thirty-one billion, five hundred forty-four million, eight hundred six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 243 244 324 351 366 468 486 549 702 732 793 972 1053 1098 1404 1586 1647 2106 2196 2379 3159 3172 3294 4212 4758 4941 6318 6588 7137 9516 9882 12636 14274 14823 19764 21411 28548 29646 42822 59292 64233 85644 128466 192699 256932 300397 385398 600794 770796 901191 1201588 1802382 2703573 3604764 3905161 5407146 7810322 8110719 10814292 11715483 15620644 16221438 18324217 23430966 24332157 32442876 35146449 36648434 46861932 48664314 54972651 70292898 72996471 73296868 97328628 105439347 109945302 140585796 145992942 164917953 210878694 219890604 238214821 291985884 316318041 329835906 421757388 476429642 494753859 632636082 659671812 714644463 948954123 952859284 989507718 1265272164 1429288926 1484261577 1897908246 1979015436 2143933389 2858577852 2968523154 3795816492 4287866778 4452784731 5937046308 6431800167 8575733556 8905569462 12863600334 17811138924 19295400501 25727200668 38590801002 57886201503 77181602004 115772403006 231544806012