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10000120332312 = 23321153238234237
BaseRepresentation
bin1001000110000101010110…
…0111101100000000011000
31022102000001120122202201200
42101201111213230000120
52302320221301113222
633133554124114200
72051325206221335
oct221412547540030
938360046582650
1010000120332312
113206033252510
121156110095960
1357701306a786
142680190d398c
151251d57b1eac
hex918559ec018

10000120332312 has 96 divisors (see below), whose sum is σ = 30103278313680. Its totient is φ = 2973163265280.

The previous prime is 10000120332311. The next prime is 10000120332329. The reversal of 10000120332312 is 21323302100001.

10000120332312 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 1 + 20 + 332 + 312 = 666.

It is a super-2 number, since 2×100001203323122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000120332311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119075143 + ... + 119159094.

Almost surely, 210000120332312 is an apocalyptic number.

10000120332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000120332312 is an abundant number, since it is smaller than the sum of its proper divisors (20103157981368).

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

10000120332312 is a wasteful number, since it uses less digits than its factorization.

10000120332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238234313 (or 238234306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10000120332312 its reverse (21323302100001), we get a palindrome (31323422432313).

The spelling of 10000120332312 in words is "ten trillion, one hundred twenty million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 41976 238234237 476468474 714702711 952936948 1429405422 1905873896 2144108133 2620576607 2858810844 4288216266 5241153214 5717621688 7861729821 8576432532 10482306428 12626414561 15723459642 17152865064 20964612856 23585189463 25252829122 31446919284 37879243683 47170378926 50505658244 62893838568 75758487366 94340757852 101011316488 113637731049 138890560171 151516974732 188681515704 227275462098 277781120342 303033949464 416671680513 454550924196 555562240684 833343361026 909101848392 1111124481368 1250015041539 1666686722052 2500030083078 3333373444104 5000060166156 10000120332312