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1131100232420 = 2251959263191827
BaseRepresentation
bin10000011101011010110…
…100111101101011100100
311000010120022122021020202
4100131122310331223210
5122012443124414140
62223341551250032
7144501501225044
oct20353264755344
94003508567222
101131100232420
113a6773658a14
1216326b219918
138287c0a2a72
143ca61ab1724
151e650ea9915
hex1075ad3dae4

1131100232420 has 96 divisors (see below), whose sum is σ = 2552386636800. Its totient is φ = 419758257024.

The previous prime is 1131100232393. The next prime is 1131100232443. The reversal of 1131100232420 is 242320011311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131100232392 and 1131100232401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5800547 + ... + 5992373.

It is an arithmetic number, because the mean of its divisors is an integer number (26587360800).

Almost surely, 21131100232420 is an apocalyptic number.

1131100232420 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 1131100232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276193318400).

1131100232420 is an abundant number, since it is smaller than the sum of its proper divisors (1421286404380).

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

1131100232420 is a wasteful number, since it uses less digits than its factorization.

1131100232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192177 (or 192175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1131100232420 its reverse (242320011311), we get a palindrome (1373420243731).

The spelling of 1131100232420 in words is "one trillion, one hundred thirty-one billion, one hundred million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 263 295 380 526 590 1052 1121 1180 1315 2242 2630 4484 4997 5260 5605 9994 11210 15517 19988 22420 24985 31034 49970 62068 77585 99940 155170 191827 294823 310340 383654 589646 767308 959135 1179292 1474115 1918270 2948230 3644713 3836540 5896460 7289426 11317793 14578852 18223565 22635586 36447130 45271172 50450501 56588965 72894260 100901002 113177930 201802004 215038067 226355860 252252505 430076134 504505010 860152268 958559519 1009010020 1075190335 1917119038 2150380670 2976579559 3834238076 4300761340 4792797595 5953159118 9585595190 11906318236 14882897795 19171190380 29765795590 56555011621 59531591180 113110023242 226220046484 282775058105 565550116210 1131100232420