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11342111220 = 223251110615399
BaseRepresentation
bin10101001000000101…
…01110000111110100
31002021110011221121100
422210002232013310
5141212040024340
65113244450100
7551032232436
oct124402560764
932243157540
1011342111220
1148a0365040
122246549930
1310b9a7ac1b
147984c6656
15465b1a830
hex2a40ae1f4

11342111220 has 144 divisors (see below), whose sum is σ = 37574409600. Its totient is φ = 2746502400.

The previous prime is 11342111203. The next prime is 11342111227. The reversal of 11342111220 is 2211124311.

11342111220 is a `hidden beast` number, since 1 + 13 + 421 + 11 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11342111193 and 11342111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098081 + ... + 2103479.

It is an arithmetic number, because the mean of its divisors is an integer number (260933400).

Almost surely, 211342111220 is an apocalyptic number.

11342111220 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 11342111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787204800).

11342111220 is an abundant number, since it is smaller than the sum of its proper divisors (26232298380).

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

11342111220 is a wasteful number, since it uses less digits than its factorization.

11342111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11342111220 its reverse (2211124311), we get a palindrome (13553235531).

The spelling of 11342111220 in words is "eleven billion, three hundred forty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1061 1980 2122 3183 4244 5305 5399 6366 9549 10610 10798 11671 12732 15915 16197 19098 21220 21596 23342 26995 31830 32394 35013 38196 46684 47745 48591 53990 58355 59389 63660 64788 70026 80985 95490 97182 105039 107980 116710 118778 140052 161970 175065 178167 190980 194364 210078 233420 237556 242955 296945 323940 350130 356334 420156 485910 525195 534501 593890 700260 712668 890835 971820 1050390 1069002 1187780 1781670 2100780 2138004 2672505 3563340 5345010 5728339 10690020 11456678 17185017 22913356 28641695 34370034 51555051 57283390 63011729 68740068 85925085 103110102 114566780 126023458 171850170 189035187 206220204 252046916 257775255 315058645 343700340 378070374 515550510 567105561 630117290 756140748 945175935 1031101020 1134211122 1260234580 1890351870 2268422244 2835527805 3780703740 5671055610 11342111220