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11452015202120 = 2352388323575981
BaseRepresentation
bin1010011010100110000101…
…0011000100111101001000
31111112210122122000002112122
42212221201103010331020
53000112211342431440
640204552210030412
72261244420046043
oct246514123047510
944483578002478
1011452015202120
113715855034559
12134b588878408
13650bc716caac
142b83cd95dc5a
1514cd5e80e7b5
hexa6a614c4f48

11452015202120 has 128 divisors (see below), whose sum is σ = 26933712848640. Its totient is φ = 4374090040320.

The previous prime is 11452015202107. The next prime is 11452015202153. The reversal of 11452015202120 is 2120251025411.

It is a happy number.

It is a super-2 number, since 2×114520152021202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11452015202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914729530 + ... + 1914735510.

It is an arithmetic number, because the mean of its divisors is an integer number (210419631630).

Almost surely, 211452015202120 is an apocalyptic number.

11452015202120 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 11452015202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466856424320).

11452015202120 is an abundant number, since it is smaller than the sum of its proper divisors (15481697646520).

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

11452015202120 is a wasteful number, since it uses less digits than its factorization.

11452015202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 11452015202120 its reverse (2120251025411), we get a palindrome (13572266227531).

The spelling of 11452015202120 in words is "eleven trillion, four hundred fifty-two billion, fifteen million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 883 920 1766 2357 3532 4415 4714 5981 7064 8830 9428 11785 11962 17660 18856 20309 23570 23924 29905 35320 40618 47140 47848 54211 59810 81236 94280 101545 108422 119620 137563 162472 203090 216844 239240 271055 275126 406180 433688 542110 550252 687815 812360 1084220 1100504 1375630 2081231 2168440 2751260 4162462 5281223 5502520 8324924 10406155 10562446 14097217 16649848 20812310 21124892 26406115 28194434 41624620 42249784 47868313 52812230 56388868 70486085 83249240 95736626 105624460 112777736 121468129 140972170 191473252 211248920 239341565 242936258 281944340 324235991 382946504 478683130 485872516 563888680 607340645 648471982 957366260 971745032 1214681290 1296943964 1621179955 1914732520 2429362580 2593887928 3242359910 4858725160 6484719820 12447842611 12969439640 24895685222 49791370444 62239213055 99582740888 124478426110 248956852220 286300380053 497913704440 572600760106 1145201520212 1431501900265 2290403040424 2863003800530 5726007601060 11452015202120