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101012021 = 1123217359
BaseRepresentation
bin1100000010101…
…01001000110101
321001001221102222
412001111020311
5201324341041
614005012125
72334405455
oct601251065
9231057388
10101012021
1152022910
12299b4045
1317c09336
14d5b5d65
158d0474b
hex6055235

101012021 has 12 divisors (see below), whose sum is σ = 115200960. Its totient is φ = 87831480.

The previous prime is 101011991. The next prime is 101012029. The reversal of 101012021 is 120210101.

It is a de Polignac number, because none of the positive numbers 2k-101012021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2861 + ... + 14498.

It is an arithmetic number, because the mean of its divisors is an integer number (9600080).

Almost surely, 2101012021 is an apocalyptic number.

101012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012021 is a deficient number, since it is larger than the sum of its proper divisors (14188939).

101012021 is a wasteful number, since it uses less digits than its factorization.

101012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17416 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101012021 is about 10050.4736704297. The cubic root of 101012021 is about 465.7194259257.

Adding to 101012021 its reverse (120210101), we get a palindrome (221222122).

It can be divided in two parts, 1010 and 12021, that added together give a palindrome (13031).

The spelling of 101012021 in words is "one hundred one million, twelve thousand, twenty-one".

Divisors: 1 11 23 253 529 5819 17359 190949 399257 4391827 9182911 101012021