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1131993220 = 225233421577
BaseRepresentation
bin100001101111000…
…1101100010000100
32220220001012202211
41003132031202010
54304242240340
6304154313204
740023532531
oct10336154204
92826035684
101131993220
11530a87296
12277128804
131506a2c97
14aa4a9d88
15695a55ea
hex4378d884

1131993220 has 48 divisors (see below), whose sum is σ = 2397206448. Its totient is φ = 449003520.

The previous prime is 1131993217. The next prime is 1131993223. The reversal of 1131993220 is 223991311.

It is an interprime number because it is at equal distance from previous prime (1131993217) and next prime (1131993223).

It can be written as a sum of positive squares in 8 ways, for example, as 62441604 + 1069551616 = 7902^2 + 32704^2 .

It is not an unprimeable number, because it can be changed into a prime (1131993223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1961572 + ... + 1962148.

It is an arithmetic number, because the mean of its divisors is an integer number (49941801).

Almost surely, 21131993220 is an apocalyptic number.

1131993220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131993220 is an abundant number, since it is smaller than the sum of its proper divisors (1265213228).

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

1131993220 is a wasteful number, since it uses less digits than its factorization.

1131993220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 1131993220 is about 33645.1069250790. The cubic root of 1131993220 is about 1042.1924961470.

The spelling of 1131993220 in words is "one billion, one hundred thirty-one million, nine hundred ninety-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 233 421 466 577 842 932 1154 1165 1684 2105 2308 2330 2885 4210 4660 5770 8420 11540 98093 134441 196186 242917 268882 392372 485834 490465 537764 672205 971668 980930 1214585 1344410 1961860 2429170 2688820 4858340 56599661 113199322 226398644 282998305 565996610 1131993220