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1131122212320 = 253520509114901
BaseRepresentation
bin10000011101011100001…
…000110011110111100000
311000010121211222222000010
4100131130020303313200
5122013014241243240
62223344054324520
7144502156111302
oct20353410636740
94003554888003
101131122212320
113a6785000821
12163276659740
13828837ca419
143ca64993972
151e652d9c280
hex1075c233de0

1131122212320 has 96 divisors (see below), whose sum is σ = 3563239710240. Its totient is φ = 301615257600.

The previous prime is 1131122212301. The next prime is 1131122212357. The reversal of 1131122212320 is 232122211311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9786870 + ... + 9901770.

It is an arithmetic number, because the mean of its divisors is an integer number (37117080315).

Almost surely, 21131122212320 is an apocalyptic number.

1131122212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131122212320 is an abundant number, since it is smaller than the sum of its proper divisors (2432117497920).

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

1131122212320 is a wasteful number, since it uses less digits than its factorization.

1131122212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135428 (or 135420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1131122212320 its reverse (232122211311), we get a palindrome (1363244423631).

The spelling of 1131122212320 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20509 41018 61527 82036 102545 114901 123054 164072 205090 229802 246108 307635 328144 344703 410180 459604 492216 574505 615270 656288 689406 820360 919208 984432 1149010 1230540 1378812 1640720 1723515 1838416 1968864 2298020 2461080 2757624 3281440 3447030 3676832 4596040 4922160 5515248 6894060 9192080 9844320 11030496 13788120 18384160 27576240 55152480 2356504609 4713009218 7069513827 9426018436 11782523045 14139027654 18852036872 23565046090 28278055308 35347569135 37704073744 47130092180 56556110616 70695138270 75408147488 94260184360 113112221232 141390276540 188520368720 226224442464 282780553080 377040737440 565561106160 1131122212320