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21301213133144 = 2374341532130031
BaseRepresentation
bin1001101011111100100110…
…01111011111100101011000
32210102101011011112111201002
410311332103033133211120
510242444341030230034
6113145350415244132
74325650630120520
oct465762317374530
983371134474632
1021301213133144
1168728805460aa
122480399219648
13bb6907820329
14538dac994680
1526e16053ce7e
hex135f933df958

21301213133144 has 64 divisors (see below), whose sum is σ = 46718247459840. Its totient is φ = 8914635636480.

The previous prime is 21301213133119. The next prime is 21301213133203. The reversal of 21301213133144 is 44133131210312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8935409 + ... + 11065439.

It is an arithmetic number, because the mean of its divisors is an integer number (729972616560).

Almost surely, 221301213133144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301213133144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359123729920).

21301213133144 is an abundant number, since it is smaller than the sum of its proper divisors (25417034326696).

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

21301213133144 is a wasteful number, since it uses less digits than its factorization.

21301213133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134240 (or 2134236 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 21301213133144 its reverse (44133131210312), we get a palindrome (65434344343456).

The spelling of 21301213133144 in words is "twenty-one trillion, three hundred one billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 2408 4153 8306 16612 29071 33224 58142 116284 178579 232568 357158 714316 1250053 1428632 2130031 2500106 4260062 5000212 8520124 10000424 14910217 17040248 29820434 59640868 91591333 119281736 183182666 366365332 641139331 732730664 1282278662 2564557324 5129114648 8846018743 17692037486 35384074972 61922131201 70768149944 123844262402 247688524804 380378805949 495377049608 760757611898 1521515223796 2662651641643 3043030447592 5325303283286 10650606566572 21301213133144