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21301322113020 = 22353751011881041
BaseRepresentation
bin1001101011111100110011…
…01111001101111111111100
32210102101102202121020222210
410311332121233031333330
510243000101430104040
6113145405311140420
74325653422333225
oct465763157157774
983371382536883
1021301322113020
116872927010314
122480409814710
13bb6924289271
14538dbd24224c
1526e169db8480
hex135f99bcdffc

21301322113020 has 96 divisors (see below), whose sum is σ = 61267734997056. Its totient is φ = 5525743104000.

The previous prime is 21301322113013. The next prime is 21301322113039. The reversal of 21301322113020 is 2031122310312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10383700 + ... + 12264740.

It is an arithmetic number, because the mean of its divisors is an integer number (638205572886).

Almost surely, 221301322113020 is an apocalyptic number.

21301322113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301322113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30633867498528).

21301322113020 is an abundant number, since it is smaller than the sum of its proper divisors (39966412884036).

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

21301322113020 is a wasteful number, since it uses less digits than its factorization.

21301322113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886191 (or 1886189 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21301322113020 its reverse (2031122310312), we get a palindrome (23332444423332).

The spelling of 21301322113020 in words is "twenty-one trillion, three hundred one billion, three hundred twenty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5101 10202 15303 20404 25505 30606 51010 61212 76515 102020 153030 188737 306060 377474 566211 754948 943685 1132422 1881041 1887370 2264844 2831055 3762082 3774740 5643123 5662110 7524164 9405205 11286246 11324220 18810410 22572492 28215615 37620820 56431230 69598517 112862460 139197034 208795551 278394068 347992585 417591102 695985170 835182204 1043977755 1391970340 2087955510 4175911020 9595190141 19190380282 28785570423 38380760564 47975950705 57571140846 95951901410 115142281692 143927852115 191903802820 287855704230 355022035217 575711408460 710044070434 1065066105651 1420088140868 1775110176085 2130132211302 3550220352170 4260264422604 5325330528255 7100440704340 10650661056510 21301322113020