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210021010101 = 32741456117827
BaseRepresentation
bin1100001110011000111…
…0100100101010110101
3202002002201120202001200
43003212032210222311
511420110334310401
6240252103043113
721113342062620
oct3034616445265
9662081522050
10210021010101
1181084426431
1234853740499
1316a60484756
14a244d52db7
1556e30d2686
hex30e63a4ab5

210021010101 has 48 divisors (see below), whose sum is σ = 355255275648. Its totient is φ = 117052646400.

The previous prime is 210021010097. The next prime is 210021010117. The reversal of 210021010101 is 101010120012.

It is a happy number.

210021010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210021010101 - 22 = 210021010097 is a prime.

It is a super-3 number, since 3×2100210101013 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021018101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11772150 + ... + 11789976.

It is an arithmetic number, because the mean of its divisors is an integer number (7401151576).

Almost surely, 2210021010101 is an apocalyptic number.

210021010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210021010101 is a deficient number, since it is larger than the sum of its proper divisors (145234265547).

210021010101 is a wasteful number, since it uses less digits than its factorization.

210021010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22442 (or 22439 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210021010101 its reverse (101010120012), we get a palindrome (311031130113).

The spelling of 210021010101 in words is "two hundred ten billion, twenty-one million, ten thousand, one hundred one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 4561 13683 17827 31927 41049 53481 95781 124789 160443 187001 287343 374367 561003 730907 1123101 1309007 1683009 2192721 3927021 5116349 6578163 11781063 15349047 46047141 81308947 243926841 569162629 731780523 1707487887 3333666827 5122463661 10001000481 23335667789 30003001443 70007003367 210021010101