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21323222012310 = 23537471512706793
BaseRepresentation
bin1001101100100101100110…
…00100101101000110010110
32210111110222000010102002220
410312102303010231012112
510243324424313343220
6113203430350043210
74330360214400141
oct466226304550626
983443860112086
1021323222012310
116881144a26839
1224846bbaa9506
13bb8a0446095a
1453a0999a7058
1526e9ec822540
hex1364b312d196

21323222012310 has 128 divisors (see below), whose sum is σ = 54032632049664. Its totient is φ = 5378937062400.

The previous prime is 21323222012299. The next prime is 21323222012311. The reversal of 21323222012310 is 1321022232312.

It is a super-2 number, since 2×213232220123102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323222012311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6524274 + ... + 9231066.

It is an arithmetic number, because the mean of its divisors is an integer number (422129937888).

Almost surely, 221323222012310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21323222012310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27016316024832).

21323222012310 is an abundant number, since it is smaller than the sum of its proper divisors (32709410037354).

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

21323222012310 is a wasteful number, since it uses less digits than its factorization.

21323222012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707038.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21323222012310 its reverse (1321022232312), we get a palindrome (22644244244622).

The spelling of 21323222012310 in words is "twenty-one trillion, three hundred twenty-three billion, two hundred twenty-two million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 111 141 151 185 222 235 282 302 370 453 470 555 705 755 906 1110 1410 1510 1739 2265 3478 4530 5217 5587 7097 8695 10434 11174 14194 16761 17390 21291 26085 27935 33522 35485 42582 52170 55870 70970 83805 106455 167610 212910 262589 525178 787767 1312945 1575534 2625890 2706793 3938835 5413586 7877670 8120379 13533965 16240758 27067930 40601895 81203790 100151341 127219271 200302682 254438542 300454023 381657813 408725743 500756705 600908046 636096355 763315626 817451486 1001513410 1226177229 1272192710 1502270115 1908289065 2043628715 2452354458 3004540230 3816578130 4087257430 4707113027 6130886145 9414226054 12261772290 14121339081 15122852491 19210109921 23535565135 28242678162 30245704982 38420219842 45368557473 47071130270 57630329763 70606695405 75614262455 90737114946 96050549605 115260659526 141213390810 151228524910 192101099210 226842787365 288151648815 453685574730 576303297630 710774067077 1421548134154 2132322201231 3553870335385 4264644402462 7107740670770 10661611006155 21323222012310