Search a number
-
+
1033201120 = 25577312637
BaseRepresentation
bin111101100101010…
…110010111100000
32200000011001111011
4331211112113200
54103444413440
6250305030304
734414031110
oct7545262740
92600131434
101033201120
11490240326
1224a025394
13136093213
149b311040
1560a8d9ea
hex3d9565e0

1033201120 has 96 divisors (see below), whose sum is σ = 2828081088. Its totient is φ = 349360128.

The previous prime is 1033201093. The next prime is 1033201121. The reversal of 1033201120 is 211023301.

It is a self number, because there is not a number n which added to its sum of digits gives 1033201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033201121) 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, 75442 + ... + 88078.

It is an arithmetic number, because the mean of its divisors is an integer number (29459178).

Almost surely, 21033201120 is an apocalyptic number.

1033201120 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 1033201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414040544).

1033201120 is an abundant number, since it is smaller than the sum of its proper divisors (1794879968).

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

1033201120 is a wasteful number, since it uses less digits than its factorization.

1033201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1033201120 is about 32143.4459882571. The cubic root of 1033201120 is about 1010.9467709487.

Adding to 1033201120 its reverse (211023301), we get a palindrome (1244224421).

The spelling of 1033201120 in words is "one billion, thirty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 12637 16352 20440 25274 40880 50548 63185 81760 88459 101096 126370 176918 202192 252740 353836 404384 442295 505480 707672 884590 922501 1010960 1415344 1769180 1845002 2021920 2830688 3538360 3690004 4612505 6457507 7076720 7380008 9225010 12915014 14153440 14760016 18450020 25830028 29520032 32287535 36900040 51660056 64575070 73800080 103320112 129150140 147600160 206640224 258300280 516600560 1033201120