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312000213323330 = 25731592436930511
BaseRepresentation
bin100011011110000110011010…
…1111000101000111001000010
31111220200221002022102122020122
41012330030311320220321002
5311343302414102321310
63023322530322340242
7122501162065640360
oct10674146570507102
91456627068378218
10312000213323330
119045a6026572a4
122abab8941ba682
131051265606510c
145708c688a4630
152610c9536b555
hex11bc335e28e42

312000213323330 has 64 divisors (see below), whose sum is σ = 673762547957760. Its totient is φ = 101766218097600.

The previous prime is 312000213323233. The next prime is 312000213323339. The reversal of 312000213323330 is 33323312000213.

It is a happy number.

It is a super-2 number, since 2×3120002133233302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312000213323330.

It is not an unprimeable number, because it can be changed into a prime (312000213323339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218337226 + ... + 1218593285.

It is an arithmetic number, because the mean of its divisors is an integer number (10527539811840).

Almost surely, 2312000213323330 is an apocalyptic number.

312000213323330 is an abundant number, since it is smaller than the sum of its proper divisors (361762334634430).

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

312000213323330 is a wasteful number, since it uses less digits than its factorization.

312000213323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436930615.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 312000213323330 its reverse (33323312000213), we get a palindrome (345323525323543).

The spelling of 312000213323330 in words is "three hundred twelve trillion, two hundred thirteen million, three hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 31 35 59 62 70 118 155 217 295 310 413 434 590 826 1085 1829 2065 2170 3658 4130 9145 12803 18290 25606 64015 128030 2436930511 4873861022 12184652555 17058513577 24369305110 34117027154 75544845841 85292567885 143778900149 151089691682 170585135770 287557800298 377724229205 528813920887 718894500745 755448458410 1006452301043 1057627841774 1437789001490 2012904602086 2644069604435 4457145904619 5032261505215 5288139208870 8914291809238 10064523010430 22285729523095 31200021332333 44571459046190 62400042664666 156000106661665 312000213323330