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21124338301 = 1119130177689
BaseRepresentation
bin10011101011000110…
…111101001001111101
32000112012011120110001
4103223012331021331
5321230312311201
613412051514301
71345323625063
oct235306751175
960465146401
1021124338301
118a60158030
1241165b8991
131cb85ca581
14104575c033
1583980d301
hex4eb1bd27d

21124338301 has 16 divisors (see below), whose sum is σ = 24276571200. Its totient is φ = 18178992000.

The previous prime is 21124338271. The next prime is 21124338307. The reversal of 21124338301 is 10383342112.

It is a 4-Lehmer number, since φ(21124338301) divides (21124338301-1)4.

It is a cyclic number.

It is not a de Polignac number, because 21124338301 - 25 = 21124338269 is a prime.

It is a deceptive number, since it divides R21124338300.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21124338301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124338307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233065 + ... + 310753.

It is an arithmetic number, because the mean of its divisors is an integer number (1517285700).

It is a Poulet number, since it divides 221124338300-1.

Almost surely, 221124338301 is an apocalyptic number.

21124338301 is the 77689-th nonagonal number.

It is an amenable number.

21124338301 is a deficient number, since it is larger than the sum of its proper divisors (3152232899).

21124338301 is a wasteful number, since it uses less digits than its factorization.

21124338301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79020.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 21124338301 in words is "twenty-one billion, one hundred twenty-four million, three hundred thirty-eight thousand, three hundred one".

Divisors: 1 11 19 209 1301 14311 24719 77689 271909 854579 1476091 16237001 101073389 1111807279 1920394391 21124338301