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1330010211132 = 22321921011013267
BaseRepresentation
bin10011010110101010110…
…010010100001100111100
311201010222200212010122100
4103112222302110030330
5133242330103224012
62454555342345100
7165042615156321
oct23265262241474
94633880763570
101330010211132
114730660aaa79
1219592188b190
139855b626215
14485310d0b48
15248e38b98dc
hex135aac9433c

1330010211132 has 108 divisors (see below), whose sum is σ = 3583363512456. Its totient is φ = 415844366400.

The previous prime is 1330010211043. The next prime is 1330010211133. The reversal of 1330010211132 is 2311120100331.

1330010211132 is a `hidden beast` number, since 13 + 300 + 10 + 211 + 132 = 666.

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 (1330010211133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 805963 + ... + 1819229.

It is an arithmetic number, because the mean of its divisors is an integer number (33179291782).

Almost surely, 21330010211132 is an apocalyptic number.

1330010211132 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 1330010211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791681756228).

1330010211132 is an abundant number, since it is smaller than the sum of its proper divisors (2253353301324).

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

1330010211132 is a wasteful number, since it uses less digits than its factorization.

1330010211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013416 (or 1013392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1330010211132 its reverse (2311120100331), we get a palindrome (3641130311463).

The spelling of 1330010211132 in words is "one trillion, three hundred thirty billion, ten million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 361 404 606 684 722 909 1083 1212 1444 1818 1919 2166 3249 3636 3838 4332 5757 6498 7676 11514 12996 17271 23028 34542 36461 69084 72922 109383 145844 218766 328149 437532 656298 1013267 1312596 2026534 3039801 4053068 6079602 9119403 12159204 18238806 19252073 36477612 38504146 57756219 77008292 102339967 115512438 173268657 204679934 231024876 307019901 346537314 365789387 409359868 614039802 693074628 731578774 921059703 1097368161 1228079604 1463157548 1842119406 1944459373 2194736322 3292104483 3684238812 3888918746 4389472644 5833378119 6584208966 7777837492 11666756238 13168417932 17500134357 23333512476 35000268714 36944728087 70000537428 73889456174 110834184261 147778912348 221668368522 332502552783 443336737044 665005105566 1330010211132