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201002303200 = 25524113214639
BaseRepresentation
bin1011101100110010101…
…0111011111011100000
3201012211012021222000011
42323030222323323200
511243123042200300
6232201132534304
720344011246526
oct2731452737340
9635735258004
10201002303200
1178276618456
1232b57321394
1315c53b847aa
149a2b26c316
15536645ceba
hex2eccabbee0

201002303200 has 144 divisors (see below), whose sum is σ = 503154046080. Its totient is φ = 78363648000.

The previous prime is 201002303189. The next prime is 201002303213. The reversal of 201002303200 is 2303200102.

It is a happy number.

201002303200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43326481 + ... + 43331119.

It is an arithmetic number, because the mean of its divisors is an integer number (3494125320).

Almost surely, 2201002303200 is an apocalyptic number.

201002303200 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 201002303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251577023040).

201002303200 is an abundant number, since it is smaller than the sum of its proper divisors (302151742880).

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

201002303200 is a wasteful number, since it uses less digits than its factorization.

201002303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 201002303200 its reverse (2303200102), we get a palindrome (203305503302).

The spelling of 201002303200 in words is "two hundred one billion, two million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1321 1640 2050 2642 3280 4100 4639 5284 6560 6605 8200 9278 10568 13210 16400 18556 21136 23195 26420 32800 33025 37112 42272 46390 52840 54161 66050 74224 92780 105680 108322 115975 132100 148448 185560 190199 211360 216644 231950 264200 270805 371120 380398 433288 463900 528400 541610 742240 760796 866576 927800 950995 1056800 1083220 1354025 1521592 1733152 1855600 1901990 2166440 2708050 3043184 3711200 3803980 4332880 4754975 5416100 6086368 6128119 7607960 8665760 9509950 10832200 12256238 15215920 19019900 21664400 24512476 30431840 30640595 38039800 43328800 49024952 61281190 76079600 98049904 122562380 152159200 153202975 196099808 245124760 251252879 306405950 490249520 502505758 612811900 980499040 1005011516 1225623800 1256264395 2010023032 2451247600 2512528790 4020046064 4902495200 5025057580 6281321975 8040092128 10050115160 12562643950 20100230320 25125287900 40200460640 50250575800 100501151600 201002303200