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101220021 = 32741149263
BaseRepresentation
bin1100000100001…
…11111010110101
321001110111202200
412002013322311
5201403020041
614013255113
72336233050
oct602077265
9231414680
10101220021
1152155111
1229a94499
1317c7cc06
14d62ba97
158d461b6
hex6087eb5

101220021 has 48 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 55837440.

The previous prime is 101220013. The next prime is 101220037. The reversal of 101220021 is 120022101.

It is not a de Polignac number, because 101220021 - 23 = 101220013 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101219985 and 101220012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220001) 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, 384736 + ... + 384998.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2101220021 is an apocalyptic number.

It is an amenable number.

101220021 is a deficient number, since it is larger than the sum of its proper divisors (71752779).

101220021 is a wasteful number, since it uses less digits than its factorization.

101220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101220021 is about 10060.8161199775. The cubic root of 101220021 is about 466.0388705012.

Adding to 101220021 its reverse (120022101), we get a palindrome (221242122).

The spelling of 101220021 in words is "one hundred one million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 41 63 123 149 263 287 369 447 789 861 1043 1341 1841 2367 2583 3129 5523 6109 9387 10783 16569 18327 32349 39187 42763 54981 75481 97047 117561 128289 226443 274309 352683 384867 679329 822927 1606667 2468781 4820001 11246669 14460003 33740007 101220021