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202011211020000 = 2535437432116187
BaseRepresentation
bin101101111011101001100110…
…011110010011011011100000
3222111021002020121222201210110
4231323221212132103123200
5202434222430010120000
61553350400313331320
760356554062031224
oct5573514636233340
9874232217881713
10202011211020000
1159404523221418
121a7a7161a06b40
138894763392aa5
1437c55753d4784
151854b963e0850
hexb7ba667936e0

202011211020000 has 480 divisors, whose sum is σ = 696373274120832. Its totient is φ = 51194771712000.

The previous prime is 202011211019971. The next prime is 202011211020011. The reversal of 202011211020000 is 20112110202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94401907 + ... + 96518093.

Almost surely, 2202011211020000 is an apocalyptic number.

202011211020000 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 202011211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348186637060416).

202011211020000 is an abundant number, since it is smaller than the sum of its proper divisors (494362063100832).

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

202011211020000 is a wasteful number, since it uses less digits than its factorization.

202011211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116300 (or 2116277 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202011211020000 its reverse (20112110202), we get a palindrome (202031323130202).

The spelling of 202011211020000 in words is "two hundred two trillion, eleven billion, two hundred eleven million, twenty thousand".