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1131203030220 = 2232540926575783
BaseRepresentation
bin10000011101100000111…
…101000110110011001100
311000010211111001221022200
4100131200331012303030
5122013200433431340
62223400102441500
7144504160052064
oct20354075066314
94003744057280
101131203030220
113a681669047a
12163299733290
1382897485b73
143ca715d03a4
151e65a013330
hex10760f46ccc

1131203030220 has 144 divisors (see below), whose sum is σ = 3441594985920. Its totient is φ = 300751331328.

The previous prime is 1131203030219. The next prime is 1131203030249. The reversal of 1131203030220 is 220303021311.

1131203030220 is a `hidden beast` number, since 1 + 1 + 312 + 0 + 30 + 302 + 20 = 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 = 1131203030193 and 1131203030202.

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 47 ways as a sum of consecutive naturals, for example, 195605449 + ... + 195611231.

It is an arithmetic number, because the mean of its divisors is an integer number (23899965180).

Almost surely, 21131203030220 is an apocalyptic number.

1131203030220 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 1131203030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720797492960).

1131203030220 is an abundant number, since it is smaller than the sum of its proper divisors (2310391955700).

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

1131203030220 is a wasteful number, since it uses less digits than its factorization.

1131203030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1131203030220 its reverse (220303021311), we get a palindrome (1351506051531).

The spelling of 1131203030220 in words is "one trillion, one hundred thirty-one billion, two hundred three million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 2657 3681 4090 4908 5314 5783 6135 7362 7971 8180 10628 11566 12270 13285 14724 15942 17349 18405 23132 23913 24540 26570 28915 31884 34698 36810 39855 47826 52047 53140 57830 69396 73620 79710 86745 95652 104094 115660 119565 159420 173490 208188 239130 260235 346980 478260 520470 1040940 1086713 2173426 2365247 3260139 4346852 4730494 5433565 6520278 7095741 9460988 9780417 10867130 11826235 13040556 14191482 15365431 16300695 19560834 21287223 21734260 23652470 28382964 30730862 32601390 35478705 39121668 42574446 46096293 47304940 48902085 61461724 65202780 70957410 76827155 85148892 92192586 97804170 106436115 138288879 141914820 153654310 184385172 195608340 212872230 230481465 276577758 307308620 425744460 460962930 553155516 691444395 921925860 1382888790 2765777580 6284461279 12568922558 18853383837 25137845116 31422306395 37706767674 56560151511 62844612790 75413535348 94266919185 113120303022 125689225580 188533838370 226240606044 282800757555 377067676740 565601515110 1131203030220