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1023123211330 = 2511219199223633
BaseRepresentation
bin11101110001101101110…
…01010100010001000010
310121210212012211021020111
432320312321110101002
5113230324020230310
62102003305101534
7133626642543223
oct16706671242102
93553765737214
101023123211330
113649a441a900
12146355a878aa
1375631a374cc
143773b44924a
151b9317b328a
hexee36e54442

1023123211330 has 96 divisors (see below), whose sum is σ = 2141519184000. Its totient is φ = 350690757120.

The previous prime is 1023123211259. The next prime is 1023123211337. The reversal of 1023123211330 is 331123213201.

It is a super-2 number, since 2×10231232113302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1023123211337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463194 + ... + 4686826.

It is an arithmetic number, because the mean of its divisors is an integer number (22307491500).

Almost surely, 21023123211330 is an apocalyptic number.

1023123211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023123211330 is an abundant number, since it is smaller than the sum of its proper divisors (1118395972670).

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

1023123211330 is a wasteful number, since it uses less digits than its factorization.

1023123211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223880 (or 223869 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1023123211330 its reverse (331123213201), we get a palindrome (1354246424531).

The spelling of 1023123211330 in words is "one trillion, twenty-three billion, one hundred twenty-three million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 199 209 242 398 418 605 995 1045 1210 1990 2090 2189 2299 3781 4378 4598 7562 10945 11495 18905 21890 22990 24079 37810 41591 48158 83182 120395 207955 223633 240790 415910 447266 457501 915002 1118165 2236330 2287505 2459963 4249027 4575010 4919926 8498054 12299815 21245135 24599630 27059593 42490270 44502967 46739297 54119186 89005934 93478594 135297965 222514835 233696485 270595930 445029670 467392970 489532637 514132267 845556373 979065274 1028264534 1691112746 2447663185 2570661335 4227781865 4895326370 5141322670 5384859007 8455563730 9301120103 10769718014 18602240206 26924295035 46505600515 53848590070 93011201030 102312321133 204624642266 511561605665 1023123211330