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10033001131320 = 2332543283643889
BaseRepresentation
bin1001000111111111110101…
…1101111110110100111000
31022112010221002200102102100
42101333331131332310320
52303340041242200240
633201032545503400
72053601056340166
oct221777535766470
938463832612370
1010033001131320
113218a76640472
121160567941b60
1357a15320ca6b
14269857d96236
15125eac285e30
hex91ffd77ed38

10033001131320 has 96 divisors (see below), whose sum is σ = 32608057669200. Its totient is φ = 2675400999936.

The previous prime is 10033001131277. The next prime is 10033001131333. The reversal of 10033001131320 is 2313110033001.

It is a happy number.

10033001131320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 300 + 11 + 31 + 320 = 666.

It is a super-2 number, since 2×100330011313202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10033001131293 and 10033001131302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15259936 + ... + 15903824.

Almost surely, 210033001131320 is an apocalyptic number.

10033001131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033001131320 is an abundant number, since it is smaller than the sum of its proper divisors (22575056537880).

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

10033001131320 is a wasteful number, since it uses less digits than its factorization.

10033001131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687189 (or 687182 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10033001131320 its reverse (2313110033001), we get a palindrome (12346111164321).

The spelling of 10033001131320 in words is "ten trillion, thirty-three billion, one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 43283 86566 129849 173132 216415 259698 346264 389547 432830 519396 643889 649245 779094 865660 1038792 1287778 1298490 1558188 1731320 1931667 1947735 2575556 2596980 3116376 3219445 3863334 3895470 5151112 5193960 5795001 6438890 7726668 7790940 9658335 11590002 12877780 15453336 15581880 19316670 23180004 25755560 28975005 38633340 46360008 57950010 77266680 115900020 231800040 27869447587 55738895174 83608342761 111477790348 139347237935 167216685522 222955580696 250825028283 278694475870 334433371044 418041713805 501650056566 557388951740 668866742088 836083427610 1003300113132 1114777903480 1254125141415 1672166855220 2006600226264 2508250282830 3344333710440 5016500565660 10033001131320