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1010324133300 = 22352151197113213
BaseRepresentation
bin11101011001111000000…
…00101101010110110100
310120120211020002201220110
432230330000231112310
5113023120434231200
62052045252303020
7132664526303016
oct16547400552664
93516736081813
101010324133300
1135a5266a8069
12143983611a70
1374372183661
1436c856621b6
151b432cedb50
hexeb3c02d5b4

1010324133300 has 144 divisors (see below), whose sum is σ = 2957526456192. Its totient is φ = 266274624000.

The previous prime is 1010324133281. The next prime is 1010324133367. The reversal of 1010324133300 is 33314230101.

1010324133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10103241333003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

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, 8867494 + ... + 8980706.

It is an arithmetic number, because the mean of its divisors is an integer number (20538378168).

Almost surely, 21010324133300 is an apocalyptic number.

1010324133300 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 1010324133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478763228096).

1010324133300 is an abundant number, since it is smaller than the sum of its proper divisors (1947202322892).

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

1010324133300 is a wasteful number, since it uses less digits than its factorization.

1010324133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113578 (or 113571 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1010324133300 its reverse (33314230101), we get a palindrome (1043638363401).

The spelling of 1010324133300 in words is "one trillion, ten billion, three hundred twenty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 197 300 302 394 453 591 604 755 788 906 985 1182 1510 1812 1970 2265 2364 2955 3020 3775 3940 4530 4925 5910 7550 9060 9850 11325 11820 14775 15100 19700 22650 29550 29747 45300 59100 59494 89241 113213 118988 148735 178482 226426 297470 339639 356964 446205 452852 566065 594940 679278 743675 892410 1132130 1358556 1487350 1698195 1784820 2231025 2264260 2830325 2974700 3396390 4462050 5660650 6792780 8490975 8924100 11321300 16981950 17095163 22302961 33963900 34190326 44605922 51285489 66908883 68380652 85475815 89211844 102570978 111514805 133817766 170951630 205141956 223029610 256427445 267635532 334544415 341903260 427379075 446059220 512854890 557574025 669088830 854758150 1025709780 1115148050 1282137225 1338177660 1672722075 1709516300 2230296100 2564274450 3345444150 3367747111 5128548900 6690888300 6735494222 10103241333 13470988444 16838735555 20206482666 33677471110 40412965332 50516206665 67354942220 84193677775 101032413330 168387355550 202064826660 252581033325 336774711100 505162066650 1010324133300