Search a number
-
+
1120000201120 = 25571331329759
BaseRepresentation
bin10000010011000101001…
…101101101000110100000
310222001220201222020212101
4100103011031231012200
5121322230022413440
62214304311140144
7143626435426543
oct20230515550640
93861821866771
101120000201120
113a1a97a08129
12161091974654
13818005235c8
143c2cb80285a
151e20175b69a
hex104c536d1a0

1120000201120 has 96 divisors (see below), whose sum is σ = 2684168202240. Its totient is φ = 441542062080.

The previous prime is 1120000201109. The next prime is 1120000201123. The reversal of 1120000201120 is 211020000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1120000201097 and 1120000201106.

It is not an unprimeable number, because it can be changed into a prime (1120000201123) 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, 37620801 + ... + 37650559.

It is an arithmetic number, because the mean of its divisors is an integer number (27960085440).

Almost surely, 21120000201120 is an apocalyptic number.

1120000201120 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 1120000201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342084101120).

1120000201120 is an abundant number, since it is smaller than the sum of its proper divisors (1564168001120).

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

1120000201120 is a wasteful number, since it uses less digits than its factorization.

1120000201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33158 (or 33150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120000201120 its reverse (211020000211), we get a palindrome (1331020201331).

The spelling of 1120000201120 in words is "one trillion, one hundred twenty billion, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 3313 5680 6626 11360 13252 16565 26504 29759 33130 53008 59518 66260 106016 119036 132520 148795 235223 238072 265040 297590 470446 476144 530080 595180 940892 952288 1176115 1190360 1881784 2112889 2352230 2380720 3763568 4225778 4704460 4761440 7527136 8451556 9408920 10564445 16903112 18817840 21128890 33806224 37635680 42257780 67612448 84515560 98591567 169031120 197183134 338062240 394366268 492957835 788732536 985915670 1577465072 1971831340 3154930144 3943662680 7000001257 7887325360 14000002514 15774650720 28000005028 35000006285 56000010056 70000012570 112000020112 140000025140 224000040224 280000050280 560000100560 1120000201120