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21303213111312 = 24311293466329531
BaseRepresentation
bin1001101100000000010100…
…11100110011100000010000
32210102120022112211220222120
410312000022130303200100
510243012440024030222
6113150321101534240
74326051323501616
oct466001234634020
983376275756876
1021303213111312
116873707478320
122480856b74380
13bb6b65c8a772
1453911c4456b6
1526e22ade915c
hex13600a733810

21303213111312 has 160 divisors (see below), whose sum is σ = 60256189357056. Its totient is φ = 6431889139200.

The previous prime is 21303213111311. The next prime is 21303213111403. The reversal of 21303213111312 is 21311131230312.

It is a super-2 number, since 2×213032131113122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21303213111311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721369987 + ... + 721399517.

Almost surely, 221303213111312 is an apocalyptic number.

21303213111312 is a gapful number since it is divisible by the number (22) 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 21303213111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30128094678528).

21303213111312 is an abundant number, since it is smaller than the sum of its proper divisors (38952976245744).

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

21303213111312 is a wasteful number, since it uses less digits than its factorization.

21303213111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34509 (or 34503 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21303213111312 its reverse (21311131230312), we get a palindrome (42614344341624).

The spelling of 21303213111312 in words is "twenty-one trillion, three hundred three billion, two hundred thirteen million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 293 528 586 879 1172 1758 2344 3223 3516 4663 4688 6446 7032 9326 9669 12892 13989 14064 18652 19338 25784 27978 29531 37304 38676 51293 51568 55956 59062 74608 77352 88593 102586 111912 118124 153879 154704 177186 205172 223824 236248 307758 324841 354372 410344 472496 615516 649682 708744 820688 974523 1231032 1299364 1366259 1417488 1949046 2462064 2598728 2732518 3898092 4098777 5197456 5465036 7796184 8197554 8652583 10930072 15028849 15592368 16395108 17305166 21860144 25957749 30057698 32790216 34610332 45086547 51915498 60115396 65580432 69220664 90173094 95178413 103830996 120230792 137703053 138441328 180346188 190356826 207661992 240461584 275406106 285535239 360692376 380713652 413109159 415323984 550812212 571070478 721384752 761427304 826218318 1101624424 1142140956 1514733583 1522854608 1652436636 2203248848 2284281912 3029467166 3304873272 4544200749 4568563824 6058934332 6609746544 9088401498 12117868664 18176802996 24235737328 36353605992 40346994529 72707211984 80693989058 121040983587 161387978116 242081967174 322775956232 443816939819 484163934348 645551912464 887633879638 968327868696 1331450819457 1775267759276 1936655737392 2662901638914 3550535518552 5325803277828 7101071037104 10651606555656 21303213111312