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11031202330320 = 2435471153848173
BaseRepresentation
bin1010000010000110011011…
…1001010111011011010000
31110001120110110100021211010
42200201212321113123100
52421213400244032240
635243355301450520
72215656322464354
oct240414671273320
943046413307733
1011031202330320
113573341150567
1212a1b07410a40
136203129181c3
142a1cad559464
15141e30b2e280
hexa0866e576d0

11031202330320 has 160 divisors (see below), whose sum is σ = 34954648330752. Its totient is φ = 2876565159936.

The previous prime is 11031202330307. The next prime is 11031202330321. The reversal of 11031202330320 is 2303320213011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031202330321) 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, 12581754 + ... + 13429926.

Almost surely, 211031202330320 is an apocalyptic number.

11031202330320 is a gapful number since it is divisible by the number (10) 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 11031202330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477324165376).

11031202330320 is an abundant number, since it is smaller than the sum of its proper divisors (23923446000432).

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

11031202330320 is a wasteful number, since it uses less digits than its factorization.

11031202330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849389 (or 849383 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11031202330320 its reverse (2303320213011), we get a palindrome (13334522543331).

The spelling of 11031202330320 in words is "eleven trillion, thirty-one billion, two hundred two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1153 1410 1880 2256 2306 2820 3459 3760 4612 5640 5765 6918 9224 11280 11530 13836 17295 18448 23060 27672 34590 46120 54191 55344 69180 92240 108382 138360 162573 216764 270955 276720 325146 433528 541910 650292 812865 848173 867056 1083820 1300584 1625730 1696346 2167640 2544519 2601168 3251460 3392692 4240865 4335280 5089038 6502920 6785384 8481730 10178076 12722595 13005840 13570768 16963460 20356152 25445190 33926920 39864131 40712304 50890380 67853840 79728262 101780760 119592393 159456524 199320655 203561520 239184786 318913048 398641310 478369572 597961965 637826096 797282620 956739144 977943469 1195923930 1594565240 1913478288 1955886938 2391847860 2933830407 3189130480 3911773876 4783695720 4889717345 5867660814 7823547752 9567391440 9779434690 11735321628 14669152035 15647095504 19558869380 23470643256 29338304070 39117738760 45963343043 46941286512 58676608140 78235477520 91926686086 117353216280 137890029129 183853372172 229816715215 234706432560 275780058258 367706744344 459633430430 551560116516 689450145645 735413488688 919266860860 1103120233032 1378900291290 1838533721720 2206240466064 2757800582580 3677067443440 5515601165160 11031202330320