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1201311120 = 243517294439
BaseRepresentation
bin100011110011010…
…1000110110010000
310002201110221001110
41013212220312100
54430013423440
6315112133320
741524655532
oct10746506620
93081427043
101201311120
11567121909
12296397240
13161b631a9
14b5791852
15706e9080
hex479a8d90

1201311120 has 80 divisors (see below), whose sum is σ = 3943140480. Its totient is φ = 301504512.

The previous prime is 1201311107. The next prime is 1201311121. The reversal of 1201311120 is 211131021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1201311096 and 1201311105.

It is not an unprimeable number, because it can be changed into a prime (1201311121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143140 + ... + 151299.

It is an arithmetic number, because the mean of its divisors is an integer number (49289256).

Almost surely, 21201311120 is an apocalyptic number.

1201311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201311120 is an abundant number, since it is smaller than the sum of its proper divisors (2741829360).

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

1201311120 is a wasteful number, since it uses less digits than its factorization.

1201311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294472 (or 294466 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1201311120 is about 34659.9353721267. The cubic root of 1201311120 is about 1063.0454485662.

Adding to 1201311120 its reverse (211131021), we get a palindrome (1412442141).

The spelling of 1201311120 in words is "one billion, two hundred one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 294439 588878 883317 1177756 1472195 1766634 2355512 2944390 3533268 4416585 4711024 5005463 5888780 7066536 8833170 10010926 11777560 14133072 15016389 17666340 20021852 23555120 25027315 30032778 35332680 40043704 50054630 60065556 70665360 75081945 80087408 100109260 120131112 150163890 200218520 240262224 300327780 400437040 600655560 1201311120