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210201121201104 = 2435112925844133
BaseRepresentation
bin101111110010110101000011…
…001010010001101111010000
31000120021000211112212220200000
4233302311003022101233100
5210022413344011413404
62023021021215530000
762163346510663035
oct5762650312215720
91016230745786600
10210201121201104
1160a81881a93550
121b6aa476229900
139039b5aacb277
1439c9b07ad138c
151947c30ac9339
hexbf2d43291bd0

210201121201104 has 360 divisors, whose sum is σ = 689259314601312. Its totient is φ = 61500839984640.

The previous prime is 210201121201067. The next prime is 210201121201117. The reversal of 210201121201104 is 401102121102012.

210201121201104 is a `hidden beast` number, since 210 + 201 + 121 + 20 + 110 + 4 = 666.

210201121201104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102011212011042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33045822 + ... + 38889954.

Almost surely, 2210201121201104 is an apocalyptic number.

210201121201104 is a gapful number since it is divisible by the number (24) 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 210201121201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344629657300656).

210201121201104 is an abundant number, since it is smaller than the sum of its proper divisors (479058193400208).

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

210201121201104 is a wasteful number, since it uses less digits than its factorization.

210201121201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844225 (or 5844178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210201121201104 its reverse (401102121102012), we get a palindrome (611303242303116).

The spelling of 210201121201104 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty-one million, two hundred one thousand, one hundred four".