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1330212233112 = 233737332964283
BaseRepresentation
bin10011010110110110110…
…100111101111110011000
311201011111202222220200220
4103112312310331332120
5133243233312424422
62455031400400040
7165050620264560
oct23266664757630
94634452886626
101330212233112
1147315a144094
12195979476020
139859143a959
144854dc7bda0
15249064c2e5c
hex135b6d3df98

1330212233112 has 128 divisors (see below), whose sum is σ = 3904558732800. Its totient is φ = 369671897088.

The previous prime is 1330212233111. The next prime is 1330212233143. The reversal of 1330212233112 is 2113322120331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330212233111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20660923 + ... + 20725205.

It is an arithmetic number, because the mean of its divisors is an integer number (30504365100).

Almost surely, 21330212233112 is an apocalyptic number.

1330212233112 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 1330212233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952279366400).

1330212233112 is an abundant number, since it is smaller than the sum of its proper divisors (2574346499688).

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

1330212233112 is a wasteful number, since it uses less digits than its factorization.

1330212233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67665 (or 67661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1330212233112 its reverse (2113322120331), we get a palindrome (3443534353443).

The spelling of 1330212233112 in words is "one trillion, three hundred thirty billion, two hundred twelve million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 3329 6216 6658 9987 13316 19974 23303 26632 39948 46606 64283 69909 79896 93212 123173 128566 139818 186424 192849 246346 257132 279636 369519 385698 449981 492692 514264 559272 739038 771396 862211 899962 985384 1349943 1478076 1542792 1724422 1799924 2378471 2586633 2699886 2956152 3448844 3599848 4756942 5173266 5399772 6897688 7135413 9513884 10346532 10799544 14270826 16649297 19027768 20693064 28541652 33298594 49947891 57083304 66597188 99895782 133194376 199791564 213998107 399583128 427996214 641994321 855992428 1283988642 1497986749 1711984856 2567977284 2995973498 4493960247 5135954568 5991946996 7917929959 8987920494 11983893992 15835859918 17975840988 23753789877 31671719836 35951681976 47507579754 55425509713 63343439672 95015159508 110851019426 166276529139 190030319016 221702038852 332553058278 443404077704 665106116556 1330212233112