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202001021102200 = 235223293697409589
BaseRepresentation
bin101101111011100000000111…
…000110110110100001111000
3222111020002221110212021102111
4231323200013012312201320
5202434041042400232300
61553341553224142104
760356043420123115
oct5573400706664170
9874202843767374
10202001021102200
1159400174290351
121a7a5199307934
1388937cb23b428
1437c4c89d5590c
15185479ba1a9ba
hexb7b8071b6878

202001021102200 has 192 divisors, whose sum is σ = 507109446936000. Its totient is φ = 74601899581440.

The previous prime is 202001021102197. The next prime is 202001021102203. The reversal of 202001021102200 is 2201120100202.

It is a happy number.

202001021102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202001021102197) and next prime (202001021102203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001021102203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492975006 + ... + 493384594.

It is an arithmetic number, because the mean of its divisors is an integer number (2641195036125).

Almost surely, 2202001021102200 is an apocalyptic number.

202001021102200 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 202001021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253554723468000).

202001021102200 is an abundant number, since it is smaller than the sum of its proper divisors (305108425833800).

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

202001021102200 is a wasteful number, since it uses less digits than its factorization.

202001021102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413354 (or 413345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202001021102200 its reverse (2201120100202), we get a palindrome (204202141202402).

The spelling of 202001021102200 in words is "two hundred two trillion, one billion, twenty-one million, one hundred two thousand, two hundred".