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201001212210200 = 235222341111096267
BaseRepresentation
bin101101101100111100111101…
…110110100110110000011000
3222100200112021002001010211112
4231230330331312212300120
5202321200440311211300
61551254403201515452
760223600262555213
oct5554747566466030
9870615232033745
10201001212210200
1159055154224756
121a66346b342b88
13882044373575c
14378c72105877a
151838781e53e35
hexb6cf3dda6c18

201001212210200 has 96 divisors (see below), whose sum is σ = 469538074306560. Its totient is φ = 80020401897600.

The previous prime is 201001212210193. The next prime is 201001212210217. The reversal of 201001212210200 is 2012212100102.

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, 182802467 + ... + 183898733.

It is an arithmetic number, because the mean of its divisors is an integer number (4891021607360).

Almost surely, 2201001212210200 is an apocalyptic number.

201001212210200 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 201001212210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234769037153280).

201001212210200 is an abundant number, since it is smaller than the sum of its proper divisors (268536862096360).

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

201001212210200 is a wasteful number, since it uses less digits than its factorization.

201001212210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100617 (or 1100608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201001212210200 its reverse (2012212100102), we get a palindrome (203013424310302).

The spelling of 201001212210200 in words is "two hundred one trillion, one billion, two hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4111 4460 5575 8222 8920 11150 16444 20555 22300 32888 41110 44600 82220 102775 164440 205550 411100 822200 916753 1096267 1833506 2192534 3667012 4385068 4583765 5481335 7334024 8770136 9167530 10962670 18335060 21925340 22918825 27406675 36670120 43850680 45837650 54813350 91675300 109626700 183350600 219253400 244467541 488935082 977870164 1222337705 1955740328 2444675410 4506753637 4889350820 6111688525 9013507274 9778701640 12223377050 18027014548 22533768185 24446754100 36054029096 45067536370 48893508200 90135072740 112668840925 180270145480 225337681850 450675363700 901350727400 1005006061051 2010012122102 4020024244204 5025030305255 8040048488408 10050060610510 20100121221020 25125151526275 40200242442040 50250303052550 100500606105100 201001212210200