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20302102211310 = 23351271394259501
BaseRepresentation
bin1001001110110111100111…
…00101110010101011101110
32122212212021102001221012000
410213123303211302223232
510130112201131230220
6111102353524553130
74163531006321223
oct447336345625356
978785242057160
1020302102211310
116518089472857
12233a824b527a6
13b436317c5b5a
145028ac66394a
15253186d97390
hex1276f3972aee

20302102211310 has 128 divisors (see below), whose sum is σ = 54957798604800. Its totient is φ = 5332621392000.

The previous prime is 20302102211263. The next prime is 20302102211359. The reversal of 20302102211310 is 1311220120302.

20302102211310 is a `hidden beast` number, since 2 + 0 + 302 + 10 + 221 + 131 + 0 = 666.

It is a super-2 number, since 2×203021022113102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2636560 + ... + 6896060.

It is an arithmetic number, because the mean of its divisors is an integer number (429357801600).

Almost surely, 220302102211310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302102211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27478899302400).

20302102211310 is an abundant number, since it is smaller than the sum of its proper divisors (34655696393490).

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

20302102211310 is a wasteful number, since it uses less digits than its factorization.

20302102211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259783 (or 4259777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20302102211310 its reverse (1311220120302), we get a palindrome (21613322331612).

The spelling of 20302102211310 in words is "twenty trillion, three hundred two billion, one hundred two million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 139 254 270 278 381 417 635 695 762 834 1143 1251 1270 1390 1905 2085 2286 2502 3429 3753 3810 4170 5715 6255 6858 7506 11430 12510 17145 17653 18765 34290 35306 37530 52959 88265 105918 158877 176530 264795 317754 476631 529590 794385 953262 1588770 2383155 4259501 4766310 8519002 12778503 21297505 25557006 38335509 42595010 63892515 76671018 115006527 127785030 191677545 230013054 383355090 540956627 575032635 592070639 1081913254 1150065270 1184141278 1622869881 1776211917 2704783135 2960353195 3245739762 3552423834 4868609643 5328635751 5409566270 5920706390 8114349405 8881059585 9737219286 10657271502 14605828929 15985907253 16228698810 17762119170 24343048215 26643178755 29211657858 31971814506 48686096430 53286357510 73029144645 75192971153 79929536265 146058289290 150385942306 159859072530 225578913459 375964855765 451157826918 676736740377 751929711530 1127894567295 1353473480754 2030210221131 2255789134590 3383683701885 4060420442262 6767367403770 10151051105655 20302102211310