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11021430011310 = 2335177133819479
BaseRepresentation
bin1010000001100010000001…
…1010111011010110101110
31110000122020102000001022000
42200120200122323112232
52421033342040330220
635235101451033130
72215162211236365
oct240304032732656
943018212001260
1011021430011310
11356a186a05664
1212a003a73b7a6
1361c416157614
142a16237427dc
15141a5cc47390
hexa06206bb5ae

11021430011310 has 128 divisors (see below), whose sum is σ = 31557633177600. Its totient is φ = 2727202705920.

The previous prime is 11021430011227. The next prime is 11021430011321. The reversal of 11021430011310 is 1311003412011.

It is a happy number.

11021430011310 is a `hidden beast` number, since 1 + 102 + 1 + 430 + 0 + 1 + 131 + 0 = 666.

It is a super-2 number, since 2×110214300113102 (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, 16583850 + ... + 17235629.

It is an arithmetic number, because the mean of its divisors is an integer number (246544009200).

Almost surely, 211021430011310 is an apocalyptic number.

11021430011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11021430011310 is an abundant number, since it is smaller than the sum of its proper divisors (20536203166290).

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

11021430011310 is a wasteful number, since it uses less digits than its factorization.

11021430011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33819583 (or 33819577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11021430011310 its reverse (1311003412011), we get a palindrome (12332433423321).

The spelling of 11021430011310 in words is "eleven trillion, twenty-one billion, four hundred thirty million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 71 85 90 102 135 142 153 170 213 255 270 306 355 426 459 510 639 710 765 918 1065 1207 1278 1530 1917 2130 2295 2414 3195 3621 3834 4590 6035 6390 7242 9585 10863 12070 18105 19170 21726 32589 36210 54315 65178 108630 162945 325890 33819479 67638958 101458437 169097395 202916874 304375311 338194790 507292185 574931143 608750622 913125933 1014584370 1149862286 1521876555 1724793429 1826251866 2401183009 2874655715 3043753110 3449586858 4565629665 4802366018 5174380287 5749311430 7203549027 8623967145 9131259330 10348760574 12005915045 14407098054 15523140861 17247934290 21610647081 24011830090 25871901435 31046281722 36017745135 40820111153 43221294162 51743802870 64831941243 72035490270 77615704305 81640222306 108053235405 122460333459 129663882486 155231408610 204100555765 216106470810 244920666918 324159706215 367381000377 408201111530 612301667295 648319412430 734762000754 1102143001131 1224603334590 1836905001885 2204286002262 3673810003770 5510715005655 11021430011310