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21221313221310 = 23517314409304439
BaseRepresentation
bin1001101001100111110001…
…10101100001001010111110
32210010201220210202102212020
410310303320311201022332
510240142222141040220
6113044534155021010
74320121632066246
oct464637065411276
983121823672766
1021221313221310
1168419aa090814
1224689baa3a766
13bac2133601a7
1453518d230b26
1526c035c40040
hex134cf8d612be

21221313221310 has 128 divisors (see below), whose sum is σ = 55679494348800. Its totient is φ = 5153136783360.

The previous prime is 21221313221299. The next prime is 21221313221351. The reversal of 21221313221310 is 1312231312212.

It is a super-2 number, since 2×212213132213102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69554071 + ... + 69858509.

It is an arithmetic number, because the mean of its divisors is an integer number (434996049600).

Almost surely, 221221313221310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221313221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27839747174400).

21221313221310 is an abundant number, since it is smaller than the sum of its proper divisors (34458181127490).

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

21221313221310 is a wasteful number, since it uses less digits than its factorization.

21221313221310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308906.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21221313221310 its reverse (1312231312212), we get a palindrome (22533544533522).

The spelling of 21221313221310 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 4409 5270 7905 8818 13227 15810 22045 26454 44090 66135 74953 132270 136679 149906 224859 273358 304439 374765 410037 449718 608878 683395 749530 820074 913317 1124295 1366790 1522195 1826634 2050185 2248590 2323543 3044390 4100370 4566585 4647086 5175463 6970629 9133170 9437609 10350926 11617715 13941258 15526389 18875218 23235430 25877315 28312827 31052778 34853145 47188045 51754630 56625654 69706290 77631945 94376090 141564135 155263890 160439353 283128270 320878706 481318059 802196765 962636118 1342271551 1604393530 2406590295 2684543102 4026814653 4813180590 6711357755 8053629306 13422715510 20134073265 22818616367 40268146530 41610418081 45637232734 68455849101 83220836162 114093081835 124831254243 136911698202 208052090405 228186163670 249662508486 342279245505 416104180810 624156271215 684558491010 707377107377 1248312542430 1414754214754 2122131322131 3536885536885 4244262644262 7073771073770 10610656610655 21221313221310