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1012011222321 = 331123208970919
BaseRepresentation
bin11101011101000001001…
…00011100010100110001
310120202011210122201222000
432232200210130110301
5113040044333103241
62052524520404213
7133054403312631
oct16564044342461
93522153581860
101012011222321
11360211a52010
12144174616669
137458085c398
1436da57466c1
151b4d0ea1eb6
hexeba091c531

1012011222321 has 64 divisors (see below), whose sum is σ = 1707526656000. Its totient is φ = 586384064640.

The previous prime is 1012011222301. The next prime is 1012011222361. The reversal of 1012011222321 is 1232221102101.

1012011222321 is a `hidden beast` number, since 1 + 0 + 120 + 1 + 1 + 222 + 321 = 666.

It is not a de Polignac number, because 1012011222321 - 25 = 1012011222289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012011222294 and 1012011222303.

It is not an unprimeable number, because it can be changed into a prime (1012011222301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14234500 + ... + 14305418.

It is an arithmetic number, because the mean of its divisors is an integer number (26680104000).

Almost surely, 21012011222321 is an apocalyptic number.

1012011222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011222321 is a deficient number, since it is larger than the sum of its proper divisors (695515433679).

1012011222321 is a wasteful number, since it uses less digits than its factorization.

1012011222321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73051 (or 73045 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012011222321 its reverse (1232221102101), we get a palindrome (2244232324422).

The spelling of 1012011222321 in words is "one trillion, twelve billion, eleven million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 621 759 2089 2277 6267 6831 18801 22979 48047 56403 68937 70919 144141 206811 212757 432423 528517 620433 638271 780109 1297269 1585551 1631137 1914813 2340327 4756653 4893411 7020981 14269959 14680233 17942507 21062943 44040699 53827521 148149791 161482563 444449373 484447689 1333348119 1629647701 3407445193 4000044357 4888943103 10222335579 14666829309 30667006737 37481897123 44000487927 92001020211 112445691369 337337074107 1012011222321