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1021113320100 = 2235237731260167
BaseRepresentation
bin11101101101111110001…
…10001100001010100100
310121121200010212012210120
432312333012030022210
5113212220002220400
62101032030121540
7133526066004066
oct16667706141244
93547603765716
101021113320100
11364062937875
12145a949502b0
13753a1508c63
14375ca537736
151b8650e9ca0
hexedbf18c2a4

1021113320100 has 144 divisors (see below), whose sum is σ = 3075838217088. Its totient is φ = 261308021760.

The previous prime is 1021113320093. The next prime is 1021113320113. The reversal of 1021113320100 is 10233111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021113320100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180217 + ... + 1440383.

Almost surely, 21021113320100 is an apocalyptic number.

1021113320100 is a gapful number since it is divisible by the number (10) 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 1021113320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537919108544).

1021113320100 is an abundant number, since it is smaller than the sum of its proper divisors (2054724896988).

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

1021113320100 is a wasteful number, since it uses less digits than its factorization.

1021113320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260294 (or 1260287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1021113320100 its reverse (10233111201), we get a palindrome (1031346431301).

The spelling of 1021113320100 in words is "one trillion, twenty-one billion, one hundred thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 73 74 75 100 111 146 148 150 185 219 222 292 300 365 370 438 444 555 730 740 876 925 1095 1110 1460 1825 1850 2190 2220 2701 2775 3650 3700 4380 5402 5475 5550 7300 8103 10804 10950 11100 13505 16206 21900 27010 32412 40515 54020 67525 81030 135050 162060 202575 270100 405150 810300 1260167 2520334 3780501 5040668 6300835 7561002 12601670 15122004 18902505 25203340 31504175 37805010 46626179 63008350 75610020 91992191 93252358 94512525 126016700 139878537 183984382 186504716 189025050 233130895 275976573 279757074 367968764 378050100 459960955 466261790 551953146 559514148 699392685 919921910 932523580 1103906292 1165654475 1379882865 1398785370 1839843820 2299804775 2331308950 2759765730 2797570740 3403711067 3496963425 4599609550 4662617900 5519531460 6807422134 6899414325 6993926850 9199219100 10211133201 13614844268 13798828650 13987853700 17018555335 20422266402 27597657300 34037110670 40844532804 51055666005 68074221340 85092776675 102111332010 170185553350 204222664020 255278330025 340371106700 510556660050 1021113320100