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12303000001332 = 2233617272568757
BaseRepresentation
bin1011001100001000001111…
…1100011101101100110100
31121120011012020000222201000
42303002003330131230310
53103033021000020312
642055530431403300
72406601544354415
oct263020374355464
947504166028630
1012303000001332
113a13744842547
1214684a1983530
136b3224c034c1
1430767b32780c
15165068b73adc
hexb3083f1db34

12303000001332 has 96 divisors (see below), whose sum is σ = 32464169104640. Its totient is φ = 4028220408960.

The previous prime is 12303000001247. The next prime is 12303000001423. The reversal of 12303000001332 is 23310000030321.

12303000001332 is a `hidden beast` number, since 1 + 2 + 30 + 300 + 0 + 0 + 0 + 1 + 332 = 666.

12303000001332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3505098 + ... + 6073854.

Almost surely, 212303000001332 is an apocalyptic number.

12303000001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303000001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232084552320).

12303000001332 is an abundant number, since it is smaller than the sum of its proper divisors (20161169103308).

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

12303000001332 is a wasteful number, since it uses less digits than its factorization.

12303000001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569558 (or 2569550 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12303000001332 its reverse (23310000030321), we get a palindrome (35613000031653).

The spelling of 12303000001332 in words is "twelve trillion, three hundred three billion, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 727 732 1098 1454 1647 2181 2196 2908 3294 4362 6543 6588 8724 13086 19629 26172 39258 44347 78516 88694 133041 177388 266082 399123 532164 798246 1197369 1596492 2394738 2568757 4789476 5137514 7706271 10275028 15412542 23118813 30825084 46237626 69356439 92475252 138712878 156694177 277425756 313388354 470082531 626776708 940165062 1410247593 1867486339 1880330124 2820495186 3734972678 4230742779 5602459017 5640990372 7469945356 8461485558 11204918034 16807377051 16922971116 22409836068 33614754102 50422131153 67229508204 100844262306 113916666679 201688524612 227833333358 341750000037 455666666716 683500000074 1025250000111 1367000000148 2050500000222 3075750000333 4101000000444 6151500000666 12303000001332