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1011013221330 = 232573734302367
BaseRepresentation
bin11101011011001010001…
…01010111101111010010
310120122121020202000222100
432231211011113233102
5113031023341040310
62052241510021230
7133020564406020
oct16554505275722
93518536660870
101011013221330
1135a84a674102
12143b36347816
1374451b72058
1436d0cd99710
151b473567ec0
hexeb65157bd2

1011013221330 has 96 divisors (see below), whose sum is σ = 3012208303104. Its totient is φ = 230469141888.

The previous prime is 1011013221319. The next prime is 1011013221367. The reversal of 1011013221330 is 331223101101.

1011013221330 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 1 + 322 + 1 + 330 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916194 + ... + 2386173.

It is an arithmetic number, because the mean of its divisors is an integer number (31377169824).

Almost surely, 21011013221330 is an apocalyptic number.

1011013221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011013221330 is an abundant number, since it is smaller than the sum of its proper divisors (2001195081774).

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

1011013221330 is a wasteful number, since it uses less digits than its factorization.

1011013221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302760 (or 4302757 counting only the distinct ones).

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

Adding to 1011013221330 its reverse (331223101101), we get a palindrome (1342236322431).

The spelling of 1011013221330 in words is "one trillion, eleven billion, thirteen million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 373 630 746 1119 1865 2238 2611 3357 3730 5222 5595 6714 7833 11190 13055 15666 16785 23499 26110 33570 39165 46998 78330 117495 234990 4302367 8604734 12907101 21511835 25814202 30116569 38721303 43023670 60233138 64535505 77442606 90349707 129071010 150582845 180699414 193606515 271049121 301165690 387213030 451748535 542098242 903497070 1355245605 1604782891 2710491210 3209565782 4814348673 8023914455 9628697346 11233480237 14443046019 16047828910 22466960474 24071743365 28886092038 33700440711 48143486730 56167401185 67400881422 72215230095 101101322133 112334802370 144430460190 168502203555 202202644266 337004407110 505506610665 1011013221330