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11011220333130 = 23519532647137699
BaseRepresentation
bin1010000000111011111111…
…1000000110001001001010
31102222122212212200122210010
42200032333320012021022
52420401434401130010
635230252414132350
72214351206350653
oct240167770061112
942878785618703
1011011220333130
1135659178a82a6
12129a06b4b10b6
1361b479ba4924
142a0d357dc52a
1514166176c620
hexa03bfe0624a

11011220333130 has 128 divisors (see below), whose sum is σ = 28353597696000. Its totient is φ = 2728244623104.

The previous prime is 11011220333129. The next prime is 11011220333131. The reversal of 11011220333130 is 3133302211011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11011220333129) and next prime (11011220333131).

It is a junction number, because it is equal to n+sod(n) for n = 11011220333097 and 11011220333106.

It is not an unprimeable number, because it can be changed into a prime (11011220333131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79897021 + ... + 80034719.

It is an arithmetic number, because the mean of its divisors is an integer number (221512482000).

Almost surely, 211011220333130 is an apocalyptic number.

11011220333130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011220333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176798848000).

11011220333130 is an abundant number, since it is smaller than the sum of its proper divisors (17342377362870).

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

11011220333130 is a wasteful number, since it uses less digits than its factorization.

11011220333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140428.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11011220333130 its reverse (3133302211011), we get a palindrome (14144522544141).

The spelling of 11011220333130 in words is "eleven trillion, eleven billion, two hundred twenty million, three hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1590 2014 2647 3021 5035 5294 6042 7941 10070 13235 15105 15882 26470 30210 39705 50293 79410 100586 137699 140291 150879 251465 275398 280582 301758 413097 420873 502930 688495 701455 754395 826194 841746 1376990 1402910 1508790 2065485 2104365 2616281 2665529 4130970 4208730 5232562 5331058 7298047 7848843 7996587 13081405 13327645 14596094 15697686 15993174 21894141 26162810 26655290 36490235 39244215 39982935 43788282 72980470 78488430 79965870 109470705 138662893 218941410 277325786 364489253 415988679 693314465 728978506 831977358 1093467759 1386628930 1822446265 2079943395 2186935518 3644892530 4159886790 5467338795 6925295807 10934677590 13850591614 19317930409 20775887421 34626479035 38635860818 41551774842 57953791227 69252958070 96589652045 103879437105 115907582454 193179304090 207758874210 289768956135 367040677771 579537912270 734081355542 1101122033313 1835203388855 2202244066626 3670406777710 5505610166565 11011220333130