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1323121000230 = 2335231511411013
BaseRepresentation
bin10011010000010000001…
…010000011111100100110
311200111012120120221221000
4103100100022003330212
5133134222434001410
62451500002534130
7164410112636331
oct23202012037446
94614176527830
101323121000230
11470150346947
1219451a667346
1397a01270873
144807a173618
152463db86dc0
hex13410283f26

1323121000230 has 128 divisors (see below), whose sum is σ = 3706112931840. Its totient is φ = 335256451200.

The previous prime is 1323121000213. The next prime is 1323121000273. The reversal of 1323121000230 is 320001213231.

1323121000230 is a `hidden beast` number, since 1 + 323 + 12 + 100 + 0 + 230 = 666.

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 63 ways as a sum of consecutive naturals, for example, 232204 + ... + 1643216.

It is an arithmetic number, because the mean of its divisors is an integer number (28954007280).

Almost surely, 21323121000230 is an apocalyptic number.

1323121000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323121000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853056465920).

1323121000230 is an abundant number, since it is smaller than the sum of its proper divisors (2382991931610).

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

1323121000230 is a wasteful number, since it uses less digits than its factorization.

1323121000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411203 (or 1411197 counting only the distinct ones).

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

Adding to 1323121000230 its reverse (320001213231), we get a palindrome (1643122213461).

The spelling of 1323121000230 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-one million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 151 207 230 270 302 345 414 453 621 690 755 906 1035 1242 1359 1510 2070 2265 2718 3105 3473 4077 4530 6210 6795 6946 8154 10419 13590 17365 20385 20838 31257 34730 40770 52095 62514 93771 104190 156285 187542 312570 468855 937710 1411013 2822026 4233039 7055065 8466078 12699117 14110130 21165195 25398234 32453299 38097351 42330390 63495585 64906598 76194702 97359897 126991170 162266495 190486755 194719794 213062963 292079691 324532990 380973510 426125926 486799485 584159382 639188889 876239073 973598970 1065314815 1278377778 1460398455 1752478146 1917566667 2130629630 2920796910 3195944445 3835133334 4381195365 4900448149 5752700001 6391888890 8762390730 9587833335 9800896298 11505400002 14701344447 19175666670 24502240745 28763500005 29402688894 44104033341 49004481490 57527000010 73506722235 88208066682 132312100023 147013444470 220520166705 264624200046 441040333410 661560500115 1323121000230