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100323012100020 = 223519372378449789
BaseRepresentation
bin10110110011111001000101…
…011111111011111110110100
3111011012210020012120100201120
4112303321011133323332310
5101122143012044200040
6553211431105023540
730063045522531333
oct2663710537737664
9434183205510646
10100323012100020
1129a69828a07856
12b303331924bb0
1343c955b6ac388
141aab9342b1d1a
15b8e97237d7d0
hex5b3e457fbfb4

100323012100020 has 96 divisors (see below), whose sum is σ = 303680469187200. Its totient is φ = 24659767401984.

The previous prime is 100323012100019. The next prime is 100323012100067. The reversal of 100323012100020 is 20001210323001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189182715 + ... + 1189267074.

It is an arithmetic number, because the mean of its divisors is an integer number (3163338220700).

Almost surely, 2100323012100020 is an apocalyptic number.

100323012100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100323012100020 is an abundant number, since it is smaller than the sum of its proper divisors (203357457087180).

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

100323012100020 is a wasteful number, since it uses less digits than its factorization.

100323012100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378449857 (or 2378449855 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100323012100020 its reverse (20001210323001), we get a palindrome (120324222423021).

The spelling of 100323012100020 in words is "one hundred trillion, three hundred twenty-three billion, twelve million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180 2378449789 4756899578 7135349367 9513799156 11892248945 14270698734 23784497890 28541397468 35676746835 45190545991 47568995780 71353493670 88002642193 90381091982 135571637973 142706987340 176005284386 180762183964 225952729955 264007926579 271143275946 352010568772 440013210965 451905459910 528015853158 542286551892 677858189865 880026421930 903810919820 1056031706316 1320039632895 1355716379730 1672050201667 1760052843860 2640079265790 2711432759460 3344100403334 5016150605001 5280158531580 6688200806668 8360251008335 10032301210002 16720502016670 20064602420004 25080753025005 33441004033340 50161506050010 100323012100020