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100200030123320 = 235231033323318209
BaseRepresentation
bin10110110010000110100011…
…001100111011010100111000
3111010210000210101021122012122
4112302012203030323110320
5101113134130202421240
6553035131450300412
730051133104140321
oct2662064314732470
9433700711248178
10100200030123320
1129a21659882486
12b2a352b427708
1343baa8c78126a
141aa59c8cd5448
15b8b6756e44b5
hex5b21a333b538

100200030123320 has 128 divisors (see below), whose sum is σ = 237608476185600. Its totient is φ = 37953650786304.

The previous prime is 100200030123317. The next prime is 100200030123329. The reversal of 100200030123320 is 23321030002001.

It is a super-3 number, since 3×1002000301233203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200030123329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314728376 + ... + 315046584.

It is an arithmetic number, because the mean of its divisors is an integer number (1856316220200).

Almost surely, 2100200030123320 is an apocalyptic number.

100200030123320 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 100200030123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118804238092800).

100200030123320 is an abundant number, since it is smaller than the sum of its proper divisors (137408446062280).

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

100200030123320 is a wasteful number, since it uses less digits than its factorization.

100200030123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321669 (or 321665 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100200030123320 its reverse (23321030002001), we get a palindrome (123521060125321).

The spelling of 100200030123320 in words is "one hundred trillion, two hundred billion, thirty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 115 184 206 230 412 460 515 824 920 1030 2060 2369 3323 4120 4738 6646 9476 11845 13292 16615 18952 23690 26584 33230 47380 66460 76429 94760 132920 152858 305716 318209 342269 382145 611432 636418 684538 764290 1272836 1369076 1528580 1591045 1711345 2545672 2738152 3057160 3182090 3422690 6364180 6845380 7318807 7872187 12728360 13690760 14637614 15744374 29275228 31488748 32775527 36594035 39360935 58550456 62977496 65551054 73188070 78721870 131102108 146376140 157443740 163877635 262204216 292752280 314887480 327755270 655510540 753837121 1057408507 1311021080 1507674242 2114817014 3015348484 3769185605 4229634028 5287042535 6030696968 7538371210 8459268056 10574085070 15076742420 21148170140 24320395661 30153484840 42296340280 48640791322 97281582644 108913076221 121601978305 194563165288 217826152442 243203956610 435652304884 486407913220 544565381105 871304609768 972815826440 1089130762210 2178261524420 2505000753083 4356523048840 5010001506166 10020003012332 12525003765415 20040006024664 25050007530830 50100015061660 100200030123320