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200100332120 = 235132373229189
BaseRepresentation
bin1011101001011011101…
…0001100001001011000
3201010111100002002021212
42322112322030021120
511234301141111440
6231531432322252
720312446521323
oct2722672141130
9633440062255
10200100332120
117795346a207
1232945243388
1315b3c04abb0
14998355b7ba
155312192465
hex2e96e8c258

200100332120 has 128 divisors (see below), whose sum is σ = 512872214400. Its totient is φ = 69702488064.

The previous prime is 200100332119. The next prime is 200100332147. The reversal of 200100332120 is 21233001002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200100332095 and 200100332104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758486 + ... + 987674.

It is an arithmetic number, because the mean of its divisors is an integer number (4006814175).

Almost surely, 2200100332120 is an apocalyptic number.

200100332120 is a gapful number since it is divisible by the number (20) 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 200100332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256436107200).

200100332120 is an abundant number, since it is smaller than the sum of its proper divisors (312771882280).

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

200100332120 is a wasteful number, since it uses less digits than its factorization.

200100332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229309 (or 229305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 200100332120 its reverse (21233001002), we get a palindrome (221333333122).

The spelling of 200100332120 in words is "two hundred billion, one hundred million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 73 92 104 115 130 146 184 230 260 292 299 365 460 520 584 598 730 920 949 1196 1460 1495 1679 1898 2392 2920 2990 3358 3796 4745 5980 6716 7592 8395 9490 11960 13432 16790 18980 21827 33580 37960 43654 67160 87308 109135 174616 218270 229189 436540 458378 873080 916756 1145945 1833512 2291890 2979457 4583780 5271347 5958914 9167560 10542694 11917828 14897285 16730797 21085388 23835656 26356735 29794570 33461594 42170776 52713470 59589140 66923188 68527511 83653985 105426940 119178280 133846376 137055022 167307970 210853880 217500361 274110044 334615940 342637555 384808331 435000722 548220088 669231880 685275110 769616662 870001444 1087501805 1370550220 1539233324 1740002888 1924041655 2175003610 2741100440 3078466648 3848083310 4350007220 5002508303 7696166620 8700014440 10005016606 15392333240 20010033212 25012541515 40020066424 50025083030 100050166060 200100332120